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yKpoI14uk [10]
3 years ago
5

Four friends share 3535 of a rectangular pizza .What fraction of the pizza did each receive?

Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

\frac{35}{4}   or 8\frac{3}{4}

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Nina used 3 1/2 pounds of apples to make apple sauce. She used 3/4 times as many apples to make apple pies. How does the number
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21/8 or 2 5/8 because 7/2•3/4 is 21/8
5 0
3 years ago
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1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x
FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

f(x) = 32,500 \times \left(0.88\right)^x

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x

8 0
3 years ago
What is the answer,,,, I don’t know!!!
pogonyaev

i think is B

Step-by-step explanation:

g(x)=[x+4]10

5 0
3 years ago
Read 2 more answers
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