Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answer:

4.

Step-by-step explanation:

First, you have to decide whether the slope is negative or positive. Since the line is going diagonally upward, it is positive.

That means the answer has to be either 3 or 4.

Next, you have to decide whether the y-intercept is negative or positive, on the graph, you can see that it is positive.

Answer choice 4 is the only equation where both the slope and the y-intercept are positive, so it is the answer.

Answer:

2

Step-by-step explanation:

To find out how big the wall is you do 32 times 9 which equals 288.

2 gallons of paint covers 300 feet. You will have left over but that is ok.

help meeeeee need it nowww

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

there is no attached file

Step-by-step explanation:

Answer:

The value of a is 63° and the value of b is 27°

Step-by-step explanation:

In the given figure

∵ OA, OB, and OC are radii of the circle O

→ The radii of a circle are equal

∴ OA = OB = OC

In Δ AOC

∵ OA = OC

∴ Δ AOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OAC and ∠OCA are the base angles of the triangle

∴ m∠OAC = m∠OCA

∵ m∠OAC = a°

∴ m∠OCA = a°

→ The sum of angles in any triangle is 180°

∵ a° + a° + m∠AOC = 180°

∵ m∠AOC = 54°

∴ a° + a° + 54 = 180°

→ Add the like terms

∴ 2a° + 54 = 180°

→ Subtract 54 from both sides

∴ 2a° = 126°

→ Divide both sides by 2

∵ m∠OAC = m∠OCA = 126 ÷ 2

∴ a° = 63

∴ The value of a is 63°

In ΔBOC

∵ OB = OC

∴ Δ BOC is an isosceles triangle

→ Base angles of the isosceles triangle are equal

∵ ∠OBC and ∠OCB are the base angles of the triangle

∴ m∠OBC = m∠OCB

∵ m∠OBC = b°

∴ m∠OCB = b°

∵ ∠AOC is an exterior angle of ΔBOC at the vertex O

→ The measure of the exterior angle equals the sum of the measure

    of the opposite interior angles to this vertex

∵ ∠OBC and ∠OCB are the opposite interior angle of ∠AOC

∴ m∠OBC + m∠OCB = m∠AOC

→ Substitute their measures

∵ b° + b° = 54°

→ Add the like terms

∴ 2b° = 54

→ Divide both sides by 2

∴ b° = 27

∴ The value of b is 27°

Answer:

The answer is y² - 23y + 120.

Step-by-step explanation:

The steps to do :

g(x) = x² - 7x

g(y - 8) = (y - 8)² - 7(y - 8)

g(y - 8) = y² - 16x + 64 - 7y + 56

g(y - 8) = y² - 23y + 120

g(y-8) is equal to the quadratic expression y² - 23y + 120.

To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.

Replacing x with y-8, the function becomes:

g(y-8) = (y-8)² - 7(y-8)

To simplify, we expand and simplify the expression:

(y-8)² = (y-8)(y-8) = y² - 16y + 64

-7(y-8) = -7y + 56

Combining the terms, we have:

g(y-8) = y² - 16y + 64 - 7y + 56

Simplifying further:

g(y-8) = y² - 23y + 120

Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.

By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ6

Answer:

A

Step-by-step explanation:

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex] → A

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Answer: 9:4

Step-by-step explanation:

I think

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

Evelyn can work a maximum of [tex]7[/tex] hours tutoring.

Step-by-step explanation:

Evelyn earns [tex]\$\: 18[/tex] per hour lifeguarding and she worked [tex]8[/tex] hours lifeguarding.

So, total money earned by lifeguarding [tex]=\$\: 18\times 8=\$\:144[/tex].

She must earn no less than [tex]\$\:200[/tex].

So, money left to earn [tex]=\$\: 200-\$\:144=\$\:56[/tex].

Evelyn worked [tex]8[/tex] hours lifeguarding. She can work a maximum of [tex]15[/tex] total hours. So, she can work [tex]15-8=7[/tex] hours.

Evelyn earns [tex]\$\: 11[/tex] per hour tutoring.

So, total money earned by tutoring [tex]=\$\: 11\times 7=\$\:77[/tex].

Therefore, the total money earned [tex]=\$ \:144+\$\:77=\$\:221[/tex].

Hence, Evelyn can work a maximum of [tex]7[/tex] hours tutoring.

Answer:

The answer would be 7 hours tutoring. :)

Step-by-step explanation:

Answer:

thanks for the free points

Step-by-step explanation:

Answer:

can u answer these ones

Step-by-step explanation:

Answer:

Yes,

Step-by-step explanation:

the solution to these equations can be the point of intersection, which in this case the point of intersection is (2,3)

Answer:

x = - 4, x = 4

Step-by-step explanation:

[tex]4x^2 - 3 = 3x^2 + 13 \\ \\ 4x^2 - 3 - 3x^2 - 13 = 0 \\ \\ 4 {x}^{2} - 3 {x}^{2} - 16 = 0 \\ \\ {x}^{2} - 16 = 0 \\ \\ {x}^{2} - {(4)}^{2} = 0 \\ \\ (x + 4)(x - 4) = 0 \\ \\ x + 4 = 0 \: \: or \: \: x - 4 = 0 \\ \\ x = - 4 \: \: or \: \: x = 4 \\ \\ x = - 4, \: \: 4[/tex]

Step-by-step explanation:

Angle FAB = Angle BHC = 48° (Z-angles)

By Exterior Angle Theorem,

Angle ABC = Angle BHC + Angle ECB.

=> Angle ABC = 48° + 18° = 66°.

Answer:

format is wrone

i will answer then

Step-by-step explanation:

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

Answer:

Table 1 does not represent a function.

Table 2 does not represent a function.

Step-by-step explanation:

                                                 Table 1

Input (x)               1             3          5              5           9        

Output (y)             7            16         19             20       28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 1 does not represent a function.

                                              Table 2

Input (x)               0.5         7          7               12        15      

Output (y)              1           15         10             23        30

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 2 does not represent a function.

Conclusion:

We have concluded that both tables do not represent the function.

Answer:

quadratic

Step-by-step explanation:

because there is a consistent change within the change

srry it sounds confusing but trust me haha

[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]

Sorry that's all i know

Answer:

[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]

Step-by-step explanation:

If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.

Answer:

hmmm this is too hard for me.

Step-by-step explanation:

Answer: 1. x= 20 units,   2. x= [tex]5\sqrt{3}[/tex] units    3. x= [tex]4\sqrt{2}[/tex] units.

Step-by-step explanation:

In a right triangle,

[tex]Hypotenuse^2= Perpendicular^2+Base^2[/tex]  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

[tex]\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20[/tex]

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

[tex]\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}[/tex]

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

[tex]\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}[/tex]

Answer:

6) A

7) A

8) I can't see which angle is A

9) 70

10)45

Step-by-step explanation:

Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

Answer:

probably 2.5/d

Step-by-step explanation:

my mathematical teacher