Let f(x) = 2x^2 + 7x - 5 and g (x) = -8x^2 -3x + 5 what is g(x) + f(x)

T.L. and Quina plan to add a 6-inch thick layer of gravel to their driveway. The driveway is 15 yards long and 3 yards wide. Wha

Artemon [7]

Answer:

Step-by-step explanation:

The driveway has the shape of a cuboid. The formula for determining the volume if a cuboid is expressed as

Volume = L × W × H

Where

H represents the thickness of the gravel to be added to the driveway.

W represents the width of the driveway.

L represents the length of the driveway.

From the information given,

L = 15 yards

W = 3 yards

H = 6 inches.

36 inches = 1 yard

6 inches = 6/36 = 0.167 yard

Therefore, the volume of gravel required would be

V = 15 × 3 × 0.167 = 7.515 cubic yards

7 0

4 years ago

Which point lies on a circle with a radius of 5 units and center at P(6,1)?

ryzh [129]

Answer:

Option B. $R(2,4)$

Step-by-step explanation:

we know that

If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle

step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where

r is the radius of the circle

(h,k) is the center of the circle

substitute the values

$(x-6)^{2}+(y-1)^{2}=5^{2}$

$(x-6)^{2}+(y-1)^{2}=25$

step 2

Verify each case

case A) $Q(1, 11)$

substitute the value of $x=1, y=11$ in the equation of the circle and then compare the results

$(1-6)^{2}+(11-1)^{2}=25$

$25+100=25$ ------> is not true

therefore

the ordered pair Q not lie on the circle

case B) $R(2,4)$

substitute the value of $x=2, y=4$ in the equation of the circle and then compare the results

$(2-6)^{2}+(4-1)^{2}=25$

$16+9=25$ ------> is true

therefore

the ordered pair R lie on the circle

case C) $S(4,-4)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(4-6)^{2}+(-4-1)^{2}=25$

$4+25=25$ ------> is not true

therefore

the ordered pair S not lie on the circle

case D) $T(9,-2)$

substitute the value of $x=4, y=-4$ in the equation of the circle and then compare the results

$(9-6)^{2}+(-2-1)^{2}=25$

$9+9=25$ ------> is not true

therefore

the ordered pair T not lie on the circle

7 0

4 years ago

If (x + 7) is a factor of f(x), what is the value of f(-7)?

rewona [7]

Answer:

The answer is 0.

Step-by-step explanation:

Simply plug in -7 for x as they want to see what the value of the function is when x=-7.

You can then just add -7 and 7.

7 + -7 = 0

So the answer is 0

7 0

3 years ago

Guy's y'all plzz answer this who knows about it...and also exam is near

Yanka [14]

Answer:

Step-by-step explanation:

Okay so I will explain the first one.

2 to the power of 4 = 2x2x2x2

2 to the power of 6 = 2x2x2x2x2x2

2 to the power of 4 = 2x2x2x2

2^4 = 16

2^6 = 64

When you are multiplying powers you add.

+

When you subtract you takeaway.

-

So you would do

4+6+4

= 14

Meaning 2 to the power of 14

2 $x^{14}$

So what is 2 to the power of 14.

You would do

2x2x2x2x2x2x2x2x2x2x2x2x2x2

The answer is 16384

You can also use a calculator

GOOD LUCK FOR YOUR TEST!

7 0

3 years ago

Note that 3 is a factor of 21. This means that 3×[]=21. Another way to write this is 3×n=21. Find a value of n that makes the st

mash [69]

Answer:

n=9

Step-by-step explanation:

$3*9=21$

7 0

3 years ago