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elena-s [515]
4 years ago
13

Consider the function represented by the table.

Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
6 0

Answer:

A

f(9) = 5

Step-by-step explanation:

Ex:

If we have an x value of 9, it would look like

f (9) = 9 + y-intercept

So in this situation we have a x-value of 9.

We know that at 9, y = 5.

So f (9) = 5.

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Write the quadratic function in standard form.<br> f(x) = -x2 + 2x + 4<br> f(x) =
goldenfox [79]

Answer:

f(x)=-1(x-2)^2+8

Step-by-step explanation:

Given:

The quadratic function is given as:

f(x)=-x^2+2x+4

The standard form of a quadratic function is given as:

f(x)=a(x-h)^2+k, where, 'a', 'h' and 'k' are real numbers.

Now, in order to convert the given function to standard form, we use completing by  square method.

-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4

Now, f(x)=-x^2+2x+4 can be rewritten as:

f(x)=-(x-2)^2+4+4\\f(x)=-1(x-2)^2+8

Therefore, the standard form of the function is:

f(x)=-1(x-2)^2+8

7 0
3 years ago
What is the equation in slope-intercept from of the line that crosses the x-axis at 16 and is perpendicular to the line represen
Katen [24]

Answer:

35

Step-by-step explanation:

8 0
3 years ago
Find the value of m that makes ABC~DEF when AB= 3, BC= 4, DE= 2m, EF= m+5, and ∠B≅∠E.
Yuki888 [10]

Answer:

m = 3

Step-by-step explanation:

It is given that there are two triangles \triangleABC and

\triangleABC ~

Also, the sides are:

AB= 3

BC= 4

DE= 2m

EF= m+5 and

∠B≅∠E

Please have a look at the attached figure for \triangleABC and

The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.

i.e.

\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3

So, <em>value of m = 3.</em>

8 0
3 years ago
Which sign makes this number sentence true? 560 – 39 [ ] 275 x 2
Lena [83]

Answer:

560-39<275*2

Step-by-step explanation:

560-39=521

275*2=550

521<550

7 0
3 years ago
Read 2 more answers
91 more than a square of a number
ipn [44]
N^2 +91 is the answer
6 0
4 years ago
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