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4 years ago

Which number makes this sentence true?

Mathematics

2 answers:

Marta_Voda [28]4 years ago

7 0

It's letter a ......................

Semmy [17]4 years ago

3 0

The answer is a) x=30

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If you shift the linear parent function , f(x)=x, down 7 units

kolbaska11 [484]

Answer:

f(x) = x - 7

This is because the b value determines the y intercept, and if you move the function down 7, you are technically subtracting 7 from the current b value which was 0.

4 0

4 years ago

If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))

julsineya [31]

Answer:

$f(g(-1))=4$

$g(f(3))=50$

Step-by-step explanation:

We know the definition of both functions: $f(x)=3x-2$ , and $g(x)=x^2+1$

A) In order to evaluate what $f(g(-1)) is$ , let's first investigate what g(-1) is using the definition for this function:

$g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2$

Now let's find what f(2) is using f(x) definition: $f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4$

B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

$f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7$

Now let's find what g(7) is using the definition for this function:

$g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50$

4 0

3 years ago

NEED HELP ASAP PLEASE

vovikov84 [41]

Answer:

The fourth one I believe

Step-by-step explanation:

3 0

3 years ago

3x + 4y= 16 solve for y

Pepsi [2]

3x + 4y = 16
<u>- 3x -3x</u>
4y = -3x + 16 (divide each side by 4)
$\frac{4y}{4} = \frac{-3x+16}{4}$
y = -3/4x + 16/4

The answer is $y =- \frac{3}{4}x +4$

5 0

4 years ago

If t a n squared θ = 3 /8 , what is the value of s e c θ

TEA [102]

We can use 3 facts:

$\tan{\theta}=\frac{y}{x}$

$\sec{\theta}=\frac{r}{x}$

$x^2+y^2=r^2$

So, to find our x and our y we can do:

$\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}$ So, now that we know our x and our y we can find our r.

$(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}$

You'll notice, though, that there were two solutions for $\tan{\theta}$ , which means we have a positive and a negative for our x. So:

$\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}$

7 0

3 years ago

Read 2 more answers