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4 years ago

H Quarshie

Mathematics

1 answer:

Yuki888 [10]4 years ago

6 0

Answer:

Step-by-step explanation:

f(6) = -3 * 6 + 10 = -18 + 10 = -8

g(f(6)) = g(-8)

g(-8) = $(-8)^{2} + 3 * (-8) - 12$ = 64 - 24 - 12 = 64 - 36 = 28

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diamong [38]

Answer:

Step-by-step explanation:

God what grade are u in

5 0

3 years ago

Lydia baked a total of 144 chocolate chip cookies and peanut butter treats for Valentine's Day. Initially, the ratio of chocolat

andre [41]

Let $x$ be the chocolate chip cookies, so the peanut butter treats will be $144-x$ .
We know that the cookies and the treats are in a ratio of 5:3, so: $\frac{cookies}{treats} = \frac{5}{3} = \frac{x}{144-x}$
Now we can solve for $x$ :
$\frac{5}{3} = \frac{x}{144-x}$
$5(144-x)=3x$
$720-5x=3x$
$8x=720$
$x= \frac{720}{8}$
$x=90$

We now know Lydia has 90 chocolate chip cookies, and $144-x=144-90=54$ peanut butter treats.

Then, Lydia's friend ate $\frac{3}{5}$ of her cookies, so her friend ate $\frac{2}{5} (90)=36$ cookies. Therefore, Lydia has $90-36=54$ cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:
$144-54=90$
Therefore, our remainder treats will be:
$90-x$

We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:
$\frac{cookies}{treats} = \frac{6}{1} = \frac{54}{90-x}$
$6(90-x)=54$
$540-6x=54$
$6x=486$
$x= \frac{486}{6}$
$x=81$

Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.

3 0

4 years ago

Read 2 more answers

Determine if the set of ordered pairs is a relation or a function.

Inga [223]

to be a function, each input can have only one output. For these points, each x has only one y, so it it a function. A relation, just describes x to y, so it is both

3 0

3 years ago

(2x^2 - 5x + 3) - (-x2 + 4x - 5) A) x2 - x - 2 B) 3x2 - 9x - 2 C) 3x2 - x + 15 D) 3x2 - 9x + 8

Lelu [443]

Answer:

3x^2 -9x +8

Step-by-step explanation:

Hopefully this attachment will help you!!!