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Gekata [30.6K]
3 years ago
10

Use the Distributive property to factor the expression 8x + 64 = 8(x + ?)

Mathematics
2 answers:
Arisa [49]3 years ago
5 0

Answer:

8(x+8)

8 x 8 = 64

Elodia [21]3 years ago
4 0

Answer:

? = 8

Step-by-step explanation:

The following expression is given: 8x + 64

In this case, they factored out 8. Divide 8 from all terms in the expression:

(8x + 64)/8 =

(8x)/8 = x

(64)/8 = 8

8(x + 8) is the answer to the expression.

The number for ? is 8.

8 is therefore your answer.

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Evaluate the function.
Natali5045456 [20]
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.

1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16

Hope this helps! Good luck!
5 0
3 years ago
Read 2 more answers
Find the slope of each line. <br> 2
ratelena [41]

Answer: m=3/2

Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.

5 0
2 years ago
A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 5 ​ft/min. What is the rate in the ch
gavmur [86]

Answer:

  -816.8 ft²/min

Step-by-step explanation:

The rate of change of area is the product of the rate of change of radius and the circumference of the circle. At the time of interest, ...

  dA/dt = C·dr/dt = 2πr·dr/dt

  dA/dt = 2π·(26 ft)(-5 ft/min)

  dA/dt = -260π ft²/min ≈ -816.8 ft²/min

6 0
2 years ago
A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al
ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

A=\dfrac{1}{2}\times base\times height

In a right angle triangle, the area of the triangle is

A=\dfrac{1}{2}\times leg_1\times leg_2

Putting A=18 and leg_1=6, we get

18=\dfrac{1}{2}\times 6\times leg_2

18=3\times leg_2

Divide both sides by 3.

\dfrac{18}{3}=leg_2

6=leg_2

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0
2 years ago
Help me answer this
Kruka [31]

Answer:

The answer would be 10.

Step-by-step explanation:

10 is the number that has the most number of dots above it.

8 0
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