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2 years ago

8

Izzy recently took a math test were each answer a on the main part of the test was worth 8.7 points she also correctly so the bo

nus question worth 10 points. Using the equation 8.7 A +10 equals 105.7 how many correct answers age is he have on the main part of the test

1 answer:

anygoal [31]2 years ago

4 0

Answer:

11

Step-by-step explanation:

8.7A+10=105.7

8.7A=95.7

A=11

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If you can buy 1/3 of a box of chocolates for 6 dollars, how much can you buy for 4 dollars?

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Step-by-step explanation:

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Penny and her two friends each ate 1/6 of cake . how much cake did they eat

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They ate 1/3 of the cake

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On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4

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Which graph represents the function of f(x) = the quantity of 9 x squared plus 9 x minus 18, all over 3 x plus 6

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Answer:

The answer is the option C

graph of $3x$ minus $3$ , with discontinuity at negative $2$ , negative $9$

Step-by-step explanation:

we have

$f(x)=\frac{9x^{2}+9x-18}{3x+6}$

Simplify

$f(x)=9\frac{(x^{2}+x-2)}{3(x+2)}$

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}$

Step 1

Convert to a factored form the numerator

$x^{2}+x-2=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}+x=2$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}+x+0.25=2+0.25$

$x^{2}+x+0.25=2.25$

Rewrite as perfect squares

$(x+0.5)^{2}=2.25$

Square root both sides

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$x=-0.5(+/-)1.5$

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so

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Step 2

Simplify the function f(x)

$f(x)=3\frac{(x^{2}+x-2)}{(x+2)}=3\frac{(x-1)(x+2)}{(x+2)}$

The domain of the function f(x) is all real numbers except the number $x=-2$

Because the denominator can not be zero

$f(x)=3\frac{(x-1)(x+2)}{(x+2)}=3(x-1)=3x-3$

$f(x)=3x-3$ ------> with a discontinuity at $x=-2$

$f(-2)=3(-2)-3=-9$

The discontinuity is at point $(-2,-9)$

the answer in the attached figure

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