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strojnjashka [21]
3 years ago
14

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth -5y^2+2y=-2

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0
5y^2-2y-2 = 0

y = 1/5+ √11/5 or 1/5 - √11/5
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for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of
goldenfox [79]

Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.

7 0
3 years ago
1. A family eats at a restaurant. The bill is $42. They have a coupon that gives them 15% off
Ludmilka [50]
<h2>a.</h2><h3>Solution:</h3>

42 - 42 \times 15\%

=42 -  42 \times  \frac{15}{100}

=42 -  21 \times  \frac{15}{50}

=42 -   \frac{315}{50}

= 42 - 6 \:  \frac{15}{50}

= 41 \:  \frac{50}{50}  - 6 \:  \frac{15}{50}

= 35 \:  \frac{35}{50}

= 35.70

<h3>Answer:</h3>

<u>T</u><u>h</u><u>e</u><u> </u><u>f</u><u>a</u><u>m</u><u>i</u><u>l</u><u>y</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>3</u><u>5</u><u>.</u><u>7</u><u>0</u><u> </u><u>o</u><u>n</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>m</u><u>e</u><u>a</u><u>l</u><u> </u><u>a</u><u>f</u><u>t</u><u>e</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>c</u><u>o</u><u>u</u><u>pon</u>

<h2>b.</h2><h3>Solution:</h3>

35.70 + 42 \times 20\%

= 35.70 + 42 \times 0.2

= 35.70 + 8.4

= 44.10

<h3>Answer:</h3>

<u>T</u><u>h</u><u>e</u><u> </u><u>f</u><u>a</u><u>m</u><u>i</u><u>l</u><u>y</u><u> </u><u>d</u><u>i</u><u>d</u><u> </u><u>s</u><u>p</u><u>e</u><u>n</u><u>d</u><u> </u><u>$</u><u>4</u><u>4</u><u>.</u><u>1</u><u>0</u><u> </u><u>o</u><u>n</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>m</u><u>e</u><u>a</u><u>l</u><u> </u><u>i</u><u>n</u><u> </u><u>t</u><u>o</u><u>t</u><u>a</u><u>l</u><u>.</u>

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

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3 years ago
12 x 3.4x - 5.4x - x
icang [17]

Answer:

34.4x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The graphs below have the same shape. What is the equation of the red graph?
arsen [322]

Answer:

D

Step-by-step explanation:

The red graph is vertically shifted from the blue graph. Let's understand horizontal and vertical shifts.

If we have a graph of f(x)=x^2, then

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  • f(x) - a is a units shifted vertically down
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  • f(x+b) is b units shifted horizontally left

Since the red one is vertically shifted 3 units up (compared to blue graph), the equation would be:

g(x)=f(x)+3\\g(x)=x^2 + 3

Correct answer is D

6 0
3 years ago
Find a power series representation for the following function.
PSYCHO15rus [73]

a. Recall that

For , we have

By integrating both sides, we get

If , then

so that

We can shift the index to simplify the sum slightly.

b. The power series for  can be obtained simply by multiplying both sides of the series above by .

c. We have

5 0
3 years ago
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