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2 years ago

PLEASE HELP

Mathematics

1 answer:

tamaranim1 [39]2 years ago

7 0

Answer:

1. b

2. a

3. c

4. b

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1/5+17/10 as a mixed number in simplest form

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Answer:

1 9/10

Step-by-step explanation:

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3 years ago

Write an equation for a quadratic function in vertex form with

il63 [147K]

Answer:

$\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6$

Step-by-step explanation:

We want to write the equation for a quadratic function in vertex form with vertex at (-1, 6) that passes through the point (-3, 4).

Vertex form is given by:

$\displaystyle f(x)=a(x-h)^2+k$

Where (h, k) is the vertex and a is the leading coefficient.

Since our vertex is at (-1, 6), h = -1 and k = 6. Substitute:

$f(x)=a(x-(-1))^2+(6)$

Simplify:

$f(x)=a(x+1)^2+6$

Next, since the quadratic passes through the point (-3, 4), f(x) = 4 when x = -3. Substitute:

$(4)=a(-3+1)^2+6$

Solve for a. Simplify:

$-2=a(-2)^2$

Hence:

$\displaystyle -2=4a\Rightarrow a=-\frac{1}{2}$

Therefore, our function in vertex form is:

$\displaystyle f(x)=-\frac{1}{2}(x+1)^2+6$

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2 years ago

1. Nick framed a square painting that was 30 centimeters long on each side with a decorative strip. He wants to surround a

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Answer:

Step-by-step explanation:

30 + 30 = 60

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2 years ago

Read 2 more answers

a family had dinner in a restaurant and paid rs 900 for food they also had to pay 1p percent sale tax and 15 percent for the tri

jarptica [38.1K]

Answer:

Total amount pay for dinner = Rs 1,014

Step-by-step explanation:

Given:

Amount pay for food = Rs 900

Percentage of sales tax = 1%

Percentage of trip payment = 15%

Find:

Total amount pay for dinner

Computation:

Amount pay for sales tax = Amount pay for food x Percentage of sales tax

Amount pay for sales tax = 900 x 1%

Amount pay for sales tax = 900 x 0.01

Amount pay for sales tax = Rs 9

Amount pay for trip = Amount pay for food x Percentage of trip payment

Amount pay for trip = 900 x 15%

Amount pay for trip = 900 x 0.15

Amount pay for trip = Rs 105

Total amount pay for dinner = Amount pay for food + Amount pay for sales tax + Amount pay for trip

Total amount pay for dinner = 900 + 105 + 9

Total amount pay for dinner = Rs 1,014

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2 years ago

What is the slope of this line? y=4x+6

ruslelena [56]

Answer:

The slope is 4

Step-by-step explanation:

So the formula is y=mx+b. M is the slope and b would be your y intercept. So the slope is 4. (I just did this in class)

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3 years ago