How do i solve this? (by factoring)
x(x+3)=x+8

Answers

Answer 1

[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]

[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]


Related Questions

What would be the explicit equation for the sequence 3, 9, 27, 81 

Answers

Answer:

times it by

Step-by-step explanation:

3×3=9, 9×3=27, 27×3=81, 81×3=243

sorry if this isn't the answer your looking for.

Answer: multiply by 3 each time
3*3=9
3*9=27
3*27=81

Given the point (4,2), what is the image point if it is reflected over the x-axis?

Answers

Answer:

(4,-2)

Step-by-step explanation:

how do simplify -5x+5x or is it already simplified?

Answers

Answer:

zero is the simplified answer

Step-by-step explanation:

it's just as adding -5 to 5 which are additive inverse to each other so they cancel each other out ,, so -5 + 5 = 0

same for -5x +5X =0

Probability
Boy Percentage = 55%

Left-handed = 12%

Right-handed = 88%

Girl Percentage = 45%

Left-handed = 9%

Right-handed = 91%


Only need C

C) "What's the probability of a newborn baby being left handed?"

Answers

Answer:

25%

Step-by-step explanation:

55 + 12 + 88 + 45 + 9 + 91=300/12=25=25%

A polygon is 283 in it means ?

Answers

Answer:

The polygons area is 283 in2

Step-by-step explanation:

lamo why u doin work on the weekend you should go nd enjoy it!

Answer:

It would be C.

Step-by-step explanation:

This is because the given measurement is for the area of the polygon. With this, the tiling of square tiles to measure a polygon is a way of measuring its area.

How do you solve 5 v 29?

Answers

To solve the equation 5 = v + 29, you can subtract 29 from both sides of the equation. This will isolate the variable on one side of the equation and allow you to find its value.

The given equation is

5 = v + 29

Subtract 29 from both sides:

5 - 29 = v + 29 - 29

-24 = v

So the solution is v = -24.

So, we subtract 29 from both sides of the equation, this operation cancels out the addition of 29 from the variable v, and we get -24 = v. This means that -24 is the value that makes the equation true.

--The question is incomplete, answering to the question below--

"How do you solve 5 = v + 29?"

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What is the volume of the following rectangular prism?

Answers

Answer:

Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

Answer:

28

Step-by-step explanation:

We are given the area of a base and the width of the prism.

Volume = area of base * width

Volume = 8/3 * 21/2 = 28

please help no links please

Answers

Answer:

x = 38

Step-by-step explanation:

180 - 68 = 112

122 + 20 + x = 180

142 + x = 180

180 - 142 = x

x = 38

Have a nice day!

Someone, please help me with this.
Correct answers get brainiest

Answers

Answer:

3

-3

sqrt(9)

-sqrt(9)

Step-by-step explanation:

What number multiplied by itself will give you 9

3*3 =9

-3*-3 =9

sqrt(9) * sqrt(9) = sqrt(81) = 9

-sqrt(9) * -sqrt(9) = + sqrt(81) =9

Answer:

[tex] 3[/tex]

[tex] - 3[/tex]

[tex] \sqrt 9[/tex]

[tex] - \sqrt 9[/tex]

Step-by-step explanation:

[tex] {x}^{2} = 9 \\ \\ x = \pm \sqrt{9}\\ \\ x = - \sqrt{9}, \:x = \sqrt{9}\\ \\ x = - {3} \: \: x = {3} [/tex]

Please help! I need answers. Will name brainliest and give 25 points

Answers

Step-by-step explanation:

You have 1 missed call(s) from +918897

Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!

Answers

The total amount of weight gained by the dogs that gained half a pound each is [tex]2\frac{1}{2}[/tex] pounds.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

The given line plot represents the total amount of weight gained by the dogs that gained (1/2) a pound each.

From the given information the number of dogs gained (1/2) pound are,

1 + 2 + 2 = 5 dogs (observe the fractions given).

Therefore, the total amount of pounds is = 5×(1/2) = 2.5 pounds.

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A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have

Answers

With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

How to interpret a standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

We have given,

Mean weight of Eskimo dogs is μ = 30 pound

Standard deviation of Eskimo dogs is σ = 2 pound

The range of weights would 99.7% of the dogs have,

R =  μ ± 3σ

R = 30 ± 3*2

R = 30 ± 6

R = (30 - 6) , (30 + 6 )

R = 24, 36

With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

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Is the line y 5 horizontal or vertical?

Answers

According to the following graph, the for the expression y = 5 is horizontal.

The term graph in math is known as the set of vertices and a binary relation between vertices, adjacency.

Here we have given the expression y = 5.

Now, we have to plot these expression on the graph, then we get the following graph.

Through the given graph, we have identified that the expression makes the horizontal line on the graph.

Here we also know that if the equation of a line is y = 5, then it is a horizontal line.

Here we know that the line is parallel to the x-axis and passes through the point y = 5 at the y-axis.

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Finding the volume of a cylinder

Answers

Step-by-step explanation:

Here

Radius=r=2.1mHeight=h=6.3m

[tex] \sf \: volume_{(Cylinder)} {\gray{\begin{cases} \sf \rightarrowtail \: \pi {r}^{2}h \\ \sf \rightarrowtail \: 3.14 \times {(2.1)}^{2} \times 6.3 \\ \sf \rightarrowtail \: 3.14 \times 4.41 \times 6.3 \\ \sf \rightarrowtail \: 87.23 \\ \sf \rightarrowtail \: 87.2 {m}^{3} \end{cases}}}[/tex]

Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.

Answers

The triangle in the figure can be proved by ASA, SAS, and AAS

What is congruency of triangle?

Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules

Some of the rules include

Side -  Side - Side = SSS

Side - Angle - Side = SAS

Angle - Side - Angle = ASA

Angle - Angle - Side = AAS

Hypotenuse and one leg = HL

The problem requires the prove by ASA, SAS, and AAS to ensure that the the triangles are congruent.

Alternate angles in the figure are also equal

According to the ASA rule, two triangles are said to be congruent if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

The Angle-Angle-Side (AAS) Congruence Theorem states that two angles and a non-included side in one triangle must be congruent with two angles and the equivalent non-included side in another triangle for the triangles to be congruent.

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The number of pages in an Algebra 1 book is 99 less than the number of pages in a geometry book. Write and solve an equation to find the number n of pages in the geometry book. (big ideas)

Answers

On solving the provided question we can say that *629 = n - 99 is an equation. The textbook contains 728 pages*.

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

In other words, the geometry book is 99 pages LONGER than the algebra book, which is 99 pages SHORTER. The solution can be obtained using this equation. I'm sorry, but 530 is not the solution.

629 = n - 99 is an equation. The textbook contains 728 pages*.

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find the height of the two pillar with same height​

Answers

Answer:

ED = AB = 25√3

Step-by-step explanation:

Let ED = AB = X

DC = 100 - BC

Tan 60 = [tex]\frac{\sqrt{3} }{1} = \frac{ED}{DC}[/tex] = [tex]\frac{X}{100-BC}[/tex]

[tex]\sqrt{3} (100-BC) = X[/tex]

Tan 30 = [tex]\frac{1}{\sqrt{3} } = \frac{AB}{BC} = \frac{X}{BC}[/tex]

[tex]\frac{BC}{\sqrt{3} } = X[/tex]

[tex]\sqrt{3} (100-BC) = \frac{BC}{\sqrt{3} } \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC[/tex]

X = [tex]\frac{BC}{\sqrt{3} } = \frac{75}{\sqrt{3} }\\[/tex]

X = 25√3

For C it's y= 1.5x and D is y=2/3x

Answers

y2-y1/x2-x1 = 75-30/50-20
= 45/30 = 1.5
y = 1.5 x
Answer is C

Answer:

y = 1.5x + 0 or y = 1.5x

Step-by-step explanation:

=> First lets find the slope:

Slope: Change in y / Change in x

Change in y = +15

Change in x = 10

Slope = 15/10 or 1.5

=> Now lets find the, y-intercept:

We know that y-intercept is the y-value when x = 0

So we can say:

y = 1.5x

y = 1.5(0)

y = 0

Therefore y-intercept = 0

Final equation: y = 1.5x + 0 or y = 1.5x

Hope this helps!

What kind of angle is ∠ ABC Why?

Answers

Angle sum of three angles of ABC triangle must be equal to 180 degrees.

What is angle and triangle?

Angle is the space between two intersecting lines or surface or at close to the point where there ends point meet.

A triangle is a polygon that has three straight sides and three angles.

What kind of angle is a ABC why?

Let, ABC is a triangle. The angles in this triangle can be different types.

All angles in ABC can be lies between 90 degrees and that time triangle is called acute triangle. If ABC has one right angle, then this is termed as right-angled triangle.

If one of the angles is measured greater than 90 degrees, the triangle is called obtuse triangle.

if we find all angles in ABC triangle is equal to 60 degrees, this is termed as equilateral triangle.

But for each triangle, the sum of three angles must be equal to 180 degrees.

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HELP PLEASE!!
a swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, where H is the height in feet and d is the horizontal distance in feet. How far from the pier does the swimmer enters the water?

Answers

Answer: 5 ft

Step-by-step explanation:

Given

The path of the swimmer is given by

[tex]h=-0.1d^2+0.1d+3[/tex]

The swimmer can go horizontally depends upon the depth

So, find the maximum depth by taking derivative w.r.t height

[tex]h'=-0.2d+0.1[/tex]

Put derivative equal to 0

[tex]\Rightarrow -0.2d+1=0\\\\\Rightarrow d=\dfrac{1}{0.2}\\\\\Rightarrow d=5\ ft[/tex]

thus, the swimmer can go up to a distance of 5 ft.

3 3/5 divided by 2 1/2

Answers

Answer:

ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhhhhhh

answ

Answer:

Use this link

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/mixednumbers.php copy and paste

I GIVE THANKS AND MARK BRAINLIEST

WHAT ARE THE CORRECT ANSWER(S)?

Answers

Answer:

b and d

Step-by-step explanation:

slope is  -0.632 which is quite literally what d is saying, (on terms of graphs) for every 1 square over it goes -0.63 squares down

How to do elimination with 3 equations?

Answers

Elimination is a method of solving a system of equations using addition or subtraction to eliminate one of the variables.

Here we will use the elimination method to solve a system of three equations with three variables.

Let's say we have three equations with three variables x, y and z.

Equation 1:  ax + by + cz = d

Equation 2:  ex + fy + gz = h

Equation 3:  ix + jy + kz = l

We will start by multiplying the first equation by a number that will make the coefficients of y in the two equations the same.

Let's say we choose to multiply the first equation by -f, so that we get:

-fax -fby -fcz = -fd

Now we add the two equations to eliminate y:

ax + by + cz + (-fax -fby -fcz) = d -fd

ax -fax + by -fby + cz -fcz = d -fd

(a -f)x + (b -f)y + (c -f)z = d -fd

Now we can multiply the second equation by a number that will make the coefficients of z in the two equations the same. Let's say we choose to multiply the second equation by -k, so that we get:

-kex -kfy -kgz = -kh

Now we add the two equations to eliminate z:

(a -f)x + (b -f)y + (c -f)z + (-kex -kfy -kgz) = d -fd -kh

(a -f)x + (b -f)y + (c -f)z -kex -kfy -kgz = d -fd -kh

(a -f -k)x + (b -f -k)y = d -fd -kh

We can now solve this equation for x:

x = (d -fd -kh - (b -f -k)y) / (a -f -k)

Now we can substitute this expression for x in any of the original equations and solve for y:

Let's choose to substitute in the first equation:

ax + by + cz = d

(d -fd -kh - (b -f -k)y) / (a -f -k) + by + cz = d

y = (d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k) -cz) / (b -f -k)

Now we can substitute this expression for y in any of the original equations and solve for z:

Let's choose to substitute in the second equation:

ex + fy + gz = h

e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) + f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) + gz = h

gz = h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))

z = (h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))) / g

Now we have

x = (d -fd -kh - (b -f -k)y) / (a -f -k)

y = (d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k) -cz) / (b -f -k)

z = (h -e(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k)) -f(d -fd -kh - (a -f -k)(d -fd -kh) / (b -f -k))) / g

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How do you prove a number is irrational?

Answers

To prove a number is irrational we divide the integer by another integer is the decimal is non terminating and non repeating then it will be a irrational number .

What are Irrational Numbers ?

The Irrational numbers can be defined  a number that cannot be expressed as a fraction [tex]\frac{p}{q}[/tex] for any integers p and q.

The Irrational numbers have decimal expansions that do not terminate nor repeat (periodic) . Every transcendental number is an irrational number .

(i) To prove a number irrational  when we divide an integer by another integer, and  if decimal expansion does not terminate and do not  repeat then it is an irrational .

(ii) if the number cannot be expressed in the form of [tex]\frac{p}{q}[/tex] , then also the number will be called as irrational numbers .

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Makea is making smoothies. For every 4 cups of orange juice, she uses 3 tablespoons of yogurt. Which ratio of orange juice to yogurt is NOT equivalent to the ratio she wants to use in the recipe?
A-40:30
B-19:9
C-15:20
D-8:6

Answers

Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.

Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.

Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.

Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.

Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64

Step-by-step explanation:

Jai is 1. 45 meters tall. At 11 a. M. , he measures the length of a tree's shadow to be 39. 55 meters. He stands 34. 1 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter

Answers

The height of the tree to the nearest hundredth of a meter is 10.5 meters.

The length of Jai's shadow = length of tree's shadow - distance of standing of Jai

Length of Jai's shadow = 39.55 - 34.1

Performing subtraction on Right Hand Side of the equation

Length of Jai's shadow = 5.45 meters

Tan theta = height of tree/length of shadow = height of Jai/length of his shadow

height of tree/39.55 = 1.45/5.45

Keep the values in formula

Height of tree = 39.55×1.45/5.45

Performing multiplication

Height of tree = 57.35/5.45

Performing division

Height of tree = 10.5 meters

Thus, the height of tree is 10.5 meters.

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A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Determine the percentage rate for this loan?

Answers

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

[ 36 + ( 3 × 2 ) ] ÷ 6

Answers

Answer:

7

Step-by-step explanation:

[36 + ( 3 × 2 ) ] ÷ 6 = 7

Answer:

7

Step-by-step explanation:

[ 36 + ( 3 × 2 ) ] ÷ 6

= [ 36 + 6 ] ÷ 6

= [ 42 ] ÷ 6

= 7

What is the degree of the polynomial 2x² 5x²³ 7?

Answers

The degree of the polynomial  [tex]2xA^2 5xA^2A^37[/tex] is 9

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2xA^2 5xA^2A^37[/tex]

The total sum of power is: 1+2+1+2+3=9

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The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 77.2 pounds. Use a standard normal distribution curve to find each probability

Answers

Answer:

11.84%

Step-by-step explanation:

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