Factor out and show the step by step explanation of the answer for x^2+24x+5

Answers

Answer 1

Answer:

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Step-by-step explanation:

Factoring  x2-24x-5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Multiply the coefficient of the first term by the constant   1 • -5 = -5

Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -24 .

     -5    +    1    =    -4

     -1    +    5    =    4

Two solutions were found :

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207


Related Questions

Please help! Will mark brainlyest.

Answers

-3 is less than -5
because the sign -5<-3 means that -5 is smaller than -3

Answer:

C. -3 is less than -5

Step-by-step explanation:

What is 4/5 in a percent

Answers

Answer:

80%

Step-by-step explanation:

I use cross multiplication for this

4/5 = ?/100

so you would do (4*100)/5 to get the percent which would then be 80%

What is the area of the triangle?

Will mark brainlyest!!

Answers

Answer:

A = 28 sq cm

Step-by-step explanation:

Area of a triangle:

A = 1/2• base•height

= 1/2•7•8

= 28 sq cm

Need help asap please​

Answers

Answer:

9:49 is the answer because question say ratio is square of small and big

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Answers

area of semi circle= (1/2).π.r²

(1/2)×3.14×14×14

307.72 cm²

A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?

{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

(HHH, TTT, HTT, THH, THT}

{HH, TT, HT, TH}

{HTT, HHT, TTH, THH, HTH}​

Answers

Answerit is false

Step-by-step explanation: smart

simplify 8j-3-2j+6 what strategy should be implored first?

Answers

collect like terms its 6j+3

Find the radius of a circle with an area of 89 square feet.

Answers

Answer:

[tex]r = 5.32\ feet[/tex]

Step-by-step explanation:

Step 1:  Determine the radius

Formula to get the area of a circle → [tex]A=\pi r^2[/tex]

Insert 89 into the A and solve for r

[tex]\frac{89}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]28.3296 = r^2[/tex]

[tex]\sqrt{28.3295} = \sqrt{r^2}[/tex]

[tex]r = 5.32[/tex]

Answer: [tex]r = 5.32\ feet[/tex]

Given tan(8) = 4/3 and sin(8) = -4/5, find cos(8).
A. 1/3
B. -1/3
C. 3/5
D.-3/5
E. -3squared/5

Answers

I assume you mean β in place of 8.

Remember that tangent is defined as

tan(β) = sin(β) / cos(β)

so that

cos(β) = sin(β) / tan(β) = (-4/5) / (4/3) = -3/5 … … … [D]

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

the answer is b

Step-by-step explanation:

9/10 minus 3/5 is 0.3. 0.3 as a fraction is 3/10

Answer: the answer is b which is 3 over 10

Step-by-step explanation: as a decimal it us 0.3 which is the same as 3 over 10 . Hope it is correct . Please give brainliest .Thanks .

A square picture frame has a round circle cut out to show the picture. What is the area of the picture frame?

Will mark brainlyest!!

Answers

Answer:

117.5

Step-by-step explanation:

hope this helps! have a great day

WILL GIVE BRAINIEST AND EXTRA POINTS 2 BEST ANSWER
There are four relations, labeled A through D shown below

Determine whenever or not each relation represents a function

Answers

A, C, D are functions.

B is not a function.

Please, help with this question!

Answers

Answer:

arc AM = 114°

Step-by-step explanation:

the measure of a tangent- chord angle is half the measure of its intercepted arc, that is

∠ MAC = [tex]\frac{1}{2}[/tex] (AM )

57° = [tex]\frac{1}{2}[/tex] AM ( multiply both sides by 2 to clear the fraction )

114° = AM

I need help asap please
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). Find the 49th term. 8, 14,20,. Hint its not 294

Answers

Answer: 296

Step-by-step explanation: explicit rule formula for an arithmetic sequence:

a_n = a_1 +(n-1)(d)

20-14= 6

d= 6

a_1 = 8

a_n = 8 + (n-1)(6)

= 8+6n-6

a_n= 6n+2


substitute to find answer:

a_49= 6(49) +2

= 294+2

=296

Which function in vertex form is equivalent to f(x) = 4 x2 – 2x? f(x) = (x – 1)2 3 f(x) = (x – 1)2 5 f(x) = (x 1)2 3 f(x) = (x 1)2 5

Answers

The vertex form which is equivalent to the provided quadratic function of variable x is (x-1)²+3.

What is the vertex form of parabola?

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

The function given in the problem is,

[tex]f(x) = 4+x^2 - 2x\\f(x) = x^2 - 2x+4[/tex]

Add and subtract (-1)² in the above function,

[tex]f(x) = x^2 - 2x+4+(-1)^2-(-1)^2\\f(x) = x^2 - 2x+(-1)^2+4-1[/tex]

Use the formula of whole square,

[tex]f(x)=(x-1)^2+3[/tex]

This is the required vertex form.

Hence, the vertex form which is equivalent to the provided quadratic function is (x-1)²+3.

Learn more about the vertex form of the parabola here;

https://brainly.com/question/17987697

Donna bought 3 bags of dog treats for $6.15. What is the cost per bag of dog treats? A. $0.49 B. $9.15 C. $3.08 D. $2.05

Answers

D. All you have to do is divide $6.15 by 3 and you’ll get $2.05.

Answer:

$2.05

6.15 divided by 3 is 2.05. To check, you multiply 2.05 x 3.

Which expression gives the volume of a sphere with radius 17?
A. 4pi(17^3)
B. 4/3pi(17^2)
C. 4pi(17^2)
D. 4/3pi(17^3)

Answers

Answer:

D

Step-by-step explanation:

The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π

A=27 inches and b=36 inches what is the length of the hypotenuse

Answers

Answer:

Hypotenuse = 45 inches

Step-by-step explanation:

Let the hypotenuse be known as "C".

Definition of hypotenuse:

The hypotenuse is the longest side in a right triangle.

Since the word "hypotenuse" is stated in the question, we can assume that the triangle is a right triangle and therefore, Pythogoras theorem can be used to determine the measure of the hypotenuse.

Pythogoras theorem

x² = y² + z²

[Where "x" is the hypotenuse, "y" and "z" are the legs of the right triangle].

We are given that:

Leg A = y = 27 inchesLeg B = z = 36 inchesHypotenuse = x = C inches

When the meausures are substituted in the formula, we get;

⇒ (C)² = (27)² + (36)²

Evaluate the squares on the right hand side:

⇒ (C)² = (27)² + (36)²⇒ (C)² = 729 + 1296

Simplify the expression on the right hand side:

⇒ (C)² = 729 + 1296⇒ (C)² = 2025

Take square root both sides of the equation:

⇒ √(C)² = √2025⇒ C = 45 inches

Therefore, the measure of the hypotenuse is 45 inches.

Learn more about Pythogoras theorem: https://brainly.com/question/19859661

Golf Federation wants to find out which brand of golf balls are the most popular among men living in the United States between the ages of 25 and 40. They surveyed 100 of their male customers living in California between the ages of 25 and 40. The Golf Federation and found that the most popular golf ball is Miller followed by Smith and Sixon. Therefore, the Golf Federation concludes that the most popular brand of golf balls among men living in the United States between the ages of 25 and 40 is Miller. Select the statement that is true about Golf Federation's conclusion. A. The Golf Federation's conclusion was not valid because the sample was biased since all the male customers were of ages from 25 and 40. B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California. C. The Golf Federation's conclusion was valid because the sample was random. D. The Golf Federation's conclusion was valid because the sample was biased since the male customers all lived in California.

Answers

Using sampling concepts, it is found that the correct option is given by:

B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:b

Step-by-step explanation:The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.

Write the slope-intercept form of equation.
1) 3x – 2y = -12

Answers

Answer:

[tex]y=\dfrac{3}{2}x+6[/tex]

Step-by-step explanation:

Slope-intercept form of a linear equation:

 [tex]y=mx+b[/tex]

where:

m is the slopeb is the y-intercept

Given equation:

 [tex]3x-2y=-12[/tex]

To write the given equation in slope-intercept form, apply arithmetic operations to isolate the variable y.

Add 2y to both sides:

[tex]\implies 3x-2y+2y=-12+2y[/tex]

[tex]\implies 3x=2y-12[/tex]

Add 12 to both sides:

[tex]\implies 3x+12=2y-12+12[/tex]

[tex]\implies 3x+12=2y[/tex]

Switch sides:

[tex]\implies 2y=3x+12[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2y}{2}=\dfrac{3x+12}{2}[/tex]

[tex]\implies \dfrac{2y}{2}=\dfrac{3x}{2}+\dfrac{12}{2}[/tex]

[tex]\implies y=\dfrac{3}{2}x+6[/tex]

Therefore, the slope-intercept form of the given equation is:

[tex]y=\dfrac{3}{2}x+6[/tex]

where 3/2 is the slope, and 6 is the y-intercept

Learn more about Slope-intercept form here:

https://brainly.com/question/27926846

Slope intercept form y=mx+b

Let's find

3x-2y=-123x+12=2yy=3/2x+12/2y=3/2x+6

Done!

Melanie spent half of her allowance going to the movies. She's washed the family car and earned 6 dollars. What is her weekly allowance if she ended up with fifteen dollars??
(I will mark brainliest)​

Answers

The answer to your question is 18 because 24-6 is 18and that the money added accounts for the money spent

Evaluate. Pre algebra

Answers

Answer:

[tex]4^3 =64\\\\(-3)^4 = 81[/tex]

Step-by-step explanation:

[tex]4^3 = 4\times 4 \times 4 = 64\\\\(-3)^4 = (-1)^4\cdot 3^4 = 81[/tex]

does anyone know what 3x4/5x6 is

Answers

Answer:

12/30 or 6/15

Step-by-step explanation:

3x4=12

5x6=30

12/30

simplified would be 12/30 divided by 2/2

the answer is 6/15

Answer:

3x4=12 and 5x6=30

Step-by-step explanation:

This is because 5x5x5x5x5x5 6 times equal 30 and 3x3x3x3 4 times equals 12. Thank u for your time.

If a starting population size is 200 individuals and there are 20 births and 10 deaths per year, the per capita growth rate (r) is ____ and the new population size after one year will be

Answers

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The per capita growth rate is given as:

per capita growth rate = change in population / initial population = (20 - 10)/200 = 0.05 = 5%

In one year, population = 200 + (0.05 * 200) = 210

The per capita growth rate is 5% and the new population size after one year will be 210 individuals

Find out more on equation at: https://brainly.com/question/2972832

PLS I NEED HELP I NEED TO UNDERSTAND

Answers

Answer:

you got incorrect before Imao hm whats the question?

Step-by-step explanation:

HELP PRETTY PLEASE

The scatter plot below shows the relationship between the number of bill.
The most appropriate prediction of the grocery bill for a family that
consists of six members is
(1) $100
(2) $300
(3) $400
(4) $500

Answers

Answer:

$300

hope this helps :)


Which number line shows a graph of the inequality x > - 25

Answers

Answer:

I think it's b

Step-by-step explanation:

its at -25 and the arrow is going the way the > points

Lines p and q are parallel.

Parallel lines p and q are cut by transversals r and s. At the intersection of lines p, r, and s, clockwise from top left, the angles are blank, 93 degrees, blank, blank, 1, 60 degrees. At the intersection of lines q and s, the angles are blank, 2, blank, blank. At the intersection of r and q, the angles are 3, blank, blank, blank.

What is the measure of angle 2 in degrees?
27°
33°
60°
93°

Answers

Answer:

60°

Step-by-step explanation:

The given 60° angle and angle 2 are alternate interior angles of parallel lines p and q with transversal s, so they are congruent.

m<2 = 60°

Answer:

Based on the alternate interior angle theorem, the measure of angle 2 in the diagram given is: C. 60°

What is the Alternate Interior Angles Theorem?

The alternate interior angle theorem states that the measure of two alternate interior angles are congruent.

Angle 2 and 60° are alternate interior angles, therefore:

Angle 2 = 60° [alternate interior angle theorem].

Learn more about the alternate interior angle theorem on:

brainly.com/question/24839702

Step-by-step explanation:

Match each area to its corresponding radius or diameter of the circle.

Answers

Answer:

For radius = 12 the area = 452.16

for diameter = 16.8 the area = 221.5584

for radius = 3.4 the area = 36.2984

for diameter =10 the area = 78.5

Step-by-step explanation:

PLEASE HELP
I will give five stars and a thanks and brainly

Answers

Answer:

We can divide an algebraic term by another algebraic term to get the quotient. The steps below show how the division is carried out.

We can multiply two algebraic terms to get a product, which is also an algebraic term.

Step-by-step explanation:

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