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marshall27 [118]
4 years ago
14

What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. sl

ides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7
Mathematics
1 answer:
jok3333 [9.3K]4 years ago
4 0

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

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Help me please and thank you
NeTakaya

Answer:

use formula

area =1/4*π*d^2

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81=1/4*d^2

81*4=d^2

\sqrt{324}=d

18=d

Step-by-step explanation:

5 0
3 years ago
What is the simplified form of the following expression?
LUCKY_DIMON [66]
The answer is (a) 2x^4 y^8
7 0
3 years ago
Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x &gt; 0. Enter as
beks73 [17]

I bet the ODE is supposed to read

x^2y''-14xy'+56y=0

Then if y=x^r, we have y'=rx^{r-1} and y''=r(r-1)x^{r-2}, and substituting these into the ODE gives

r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0

Solving for <em>r</em>, we find

r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}

so that y_1=x^8 and y_2=x^7 are two fundamental solutions to the ODE. Thus the general solution is

\boxed{y(x)=C_1x^8+C_2x^7}

Given that y(1)=4 and y'(1)=3, we get

\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29

So the particular solution is

\boxed{y(x)=29x^7-25x^8}

4 0
4 years ago
Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. T
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Answer:

80% or like 8 squares out of 10 oe=r 4 out of 5 ect

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Check my work: Calculus
EleoNora [17]

Your answer is correct.

8 0
3 years ago
Read 2 more answers
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