A line has a slope of 5 and passes through the point (1,5). What is its equation in
slope-intercept form?

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

Answer:

11

Step-by-step explanation:

Substitute [tex]x=2:[/tex]

[tex]y=x^3+3[/tex]

[tex]y=2^3+3\\ =8+3\\ =11[/tex]

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

Answer:

y = 7

Step-by-step explanation:

8x - 2y = 18

3x - y = 5

the above system of equations can be solved by multiplying the second equation by -2 so the 'y-terms' get eliminated

you can then substitute the value of 'x' into the equation to find the value of 'y'

  8x - 2y = 18

+ -6x + 2y = -10

2x = 8

x = 4

3(4) - y = 5

12 - y = 5

-y = -7

divide each side by -1 to get:  y = 7

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6

Answer:

([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])

Step-by-step explanation:

[tex]x^{2}-12x+5 < 0[/tex]

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]

We can then express the first trinomial as a perfect square.

[tex](x-6)^{2} - 31 < 0[/tex]

Add 31 to both sides:

[tex](x-6)^{2}< 31[/tex]

Then take the square root of both sides:

[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]

Finally, add 6 to both sides:

x < 6 + [tex]\sqrt{31}[/tex]

x > 6 - [tex]\sqrt{31}[/tex]

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

So we have that;

x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

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Answer:

t =  

Given:

The total ticket price  =t

Total number of people attended the concert =  350

Total revenue  = r

To Find:

The expression for finding the t value

Solution:

The ticket price  t  =  

Substituting the total number of people who attended the concert

t =

Step-by-step explanation:

Hope this helps:)

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Answer:-2.4f + 0.4f -15-3Step-by-step explanation:

Answer:

-1.8f - 19

Step-by-step explanation:

Answer:

x = 111.8°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees. Let x be the supplementary angle:

[tex]68.2+x=180\\x=111.8[/tex]

Answer: 1060

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

For example, if a is equal to 2.

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

The answer is still the given number a.

The solution of the expression √a² is,

⇒ a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √a²

Where, 'a' is nonnegative real number.

Now, We can simplify as;

⇒ √a²

⇒ √ a × a

⇒ a

Thus,  The solution of the expression √a² is,

⇒ a

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Step-by-step explanation:

The domain is set of x-values:

The range is set of y-values:

Answer:

If in you little HMH thing it is 4044.8

Given :

f(x) = 3x-7 , when x>0

and f(x) = -2x+3 x<0

as 6 is greater than 0, we get that :

f(6) = 3(6)-7

=> f(6) = 18-7

=> f(6) = 11

hence, option a) is correct

The value of f(6) is 11 using the equation f(x)= 3x-7.

To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.

Substituting x = 6 into the equation:

f(6) = 3(6) - 7

f(6) = 18 - 7

f(6) = 11

Therefore, the value of f(6) is 11.

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Answer:

A  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

Answer:

  94.1 °F

Step-by-step explanation:

The formula is ...

  F = 9/5C +32

Using 34.5 for C, we get ...

  F = 9/5(34.5) +32 = 62.1 +32 = 94.1

34.5 °C = 94.1 °F

Answer: 19/40 gallons

Step-by-step explanation:

She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.

24/40 - 5/40 = 19/40 gallons

:0 hope it helps

ok then I don't understand well but I think its 45.10.00

Answer:

The answer is 31

Explanation:

25 - (-6) = 31

we have 25 - (-6) = 25 + 6 = 31

so the answer is D

ok done. thank to me :>

H₂SO₄ is Sulfuric Acid and the number of atoms Sulfur has is 4 atoms

What is a Chemical Formula?

A chemical formula is a formula that lists the constituent parts of a compound together with their relative proportions. No subscript is used if there is just one atom of a certain kind. A subscript is added to the symbol for an atom if it contains two or more of a certain type of atom.

Given data ,

The chemical is represented as H₂SO₄  which is Sulfuric Acid

Sulfuric acid has 2 atoms of Hydrogen , 1 atom of Sulfur and 4 atoms of Oxygen

As per the chemical formula , we can see that there is no subscript added to the Sulfur S in the chemical formula equation.

Therefore , The number of Sulfur atoms present in H₂SO₄  is 1

Hence , H₂SO₄  has only 1 sulfur atom

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Answer: Yes

Step-by-step explanation: They are similar because it the same kind of triangle just ones smaller and the other is bigger.

Answer:

t+4 / t-4

Step-by-step explanation:

(t^2 - 16) / (t^2 -8t +16)

=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)

by formula a^2 - b^2 = (a+b)(a-b)

= (t+4)(t-4)  / (t-4)^2

= (t+4)(t-4)  / (t-4)(t-4)

= t+4 / t-4

Answer:

Step-by-step explanation:

Given:

Solving in steps:

[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]

[tex]\\ \sf\longmapsto 3q+13=-14[/tex]

[tex]\\ \sf\longmapsto 3q=-14-13[/tex]

[tex]\\ \sf\longmapsto 3q=-27[/tex]

[tex]\\ \sf\longmapsto q=-9[/tex]

Answer:

none functional

was I right?

Step-by-step explanation:

Answer:

Yes there is a proportional relationship

Step-by-step explanation:

If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.

Answer:

157°

Step-by-step explanation:

Sum of interior angles of polygon

(n-2)*180 ---- n = total number of sides

7 angles, 7 sides

5*180 = 900

final angle will be

900-162-115-125-138-105-98

=157

Answer:

157

Step-by-step explanation:

it is obvious that it's a heptagon

so (n-2) x180

n=7

(7-2) x 180 =900

900-162-115-125-138-105-98

900-743=157

final unknown=157°

Answer: 35.067 or 36, depending on if you need to round or not.

Step-by-step explanation:

The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.