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zloy xaker [14]
3 years ago
11

Suppose x and y vary together such that y = 2 x + 11 . Suppose x varies from x = 2 to x = 8.5 .

Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

a) x changes by 6.5 units

b) y changes by 13 units

Step-by-step explanation:

a. Over this interval, how much does x change by?

Initially, we have that x = 2.

In the end, we have that x = 8.5.

So x changes by 8.5-2 = 6.5 units

b. Over this interval, how much does y change by?

Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15

In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28

So y changes by 28 - 15 = 13 units

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Which linear function is represented by a graph with a y-intercept of −16 ? y=−16x+1 y=16x−1 y=x−16 y=x+16
Romashka [77]

Answer:

y = x - 16

Step-by-step explanation:

The <em>y-intercept</em> is the value of the function when x = 0.

If f(x) = x - 16, f(0) = 0 - 16 = -16.

A is <em>wrong</em>, because f(0) = -16(0) + 1 = 0 + 1 = 1.

B is <em>wrong</em>, because f(0) =  16(0) + 1 = 0 + 1 = 1.

D is <em>wrong</em>, because f(0) =     0 + 16 = 16.

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3 years ago
1. Simplify 2/radical 5
cupoosta [38]
1.  (2√5)/5
2.  -44√7
3.  8√17
4.  -6√3+12

For 1:  Multiply the numerator and denominator by √5:
\frac{2}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}=\frac{2\sqrt{5}}{5}

For 2:  Simplify √112:
√112 = √(2*56) = √(2*2*28) = √(4*4*7) = 2*2√7 = 4√7
Now multiply by the -11 coefficient:
-11(4√7) = -44√7

For 3:  Add the radicals as you would variables that are like terms.

For 4:  Multiply by the conjugate.  The conjugate of the denominator has the same values with the sign of the radical changed:
\frac{6}{\sqrt{3}+2}\times \frac{\sqrt{3}-2}{\sqrt{3}-2}=\frac{6(\sqrt{3}-2)}{(\sqrt{3}+2)(\sqrt{3}-2)}&#10;\\&#10;\\=\frac{6\sqrt{3}-6*2}{\sqrt{3}*\sqrt{3}-2\sqrt{3}+2\sqrt{3}-2*2}&#10;\\&#10;\\=\frac{6\sqrt{3}-12}{3-4}=\frac{6\sqrt{3}-12}{-1}=-6\sqrt{3}+12
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2 years ago
The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area exp
irina [24]
The answer is (2x+5)^2
Have a nice day
4 0
3 years ago
Read 2 more answers
What is the simplified radical form for sqrt(36)?
Ulleksa [173]
Answer is: sqrt is 6
7 0
2 years ago
Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A​
lukranit [14]

Answer:

C. Similar - AA

Step-by-step explanation:

From the diagram given, we know that all 3 angles of ∆ABC are congruent to all corresponding 3 angles of ∆DEF.

If we know just two of the angles of the two triangles given are equal to each other, it is enough information for us to prove that they are similar to each other based on the AA Similarity theorem.

The corresponding three angels of both triangles are equal, therefore, based on AA, they are similar to each other.

4 0
2 years ago
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