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4 years ago

Can anyone solve this?

Mathematics

1 answer:

lana [24]4 years ago

3 0

Answer:

x=-11

Step-by-step explanation:

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Find the x intercept of the parabola with vertex 3,-2 and y intercept 0,7 round to the nearest hundredth

12345 [234]

An x-intercept is namely a "solution" or "zero" or "root" often called, and when that happens, y = 0, just like with any other x-intercept.

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
\begin{cases}
h=3\\
k=-2
\end{cases}\implies y=a(x-3)^2-2
\\\\\\
\textit{we also know that }
\begin{cases}
x=0\\
y=7
\end{cases}\implies 7=a(0-3)^2-2
\\\\\\
9=9a\implies \cfrac{9}{9}=a\implies 1=a\qquad therefore\qquad \boxed{y=(x-3)^2-2}$

so what is its x-intercept anyway?

$\bf \stackrel{y}{0}=(x-3)^2-2\implies 2=(x-3)^2\implies \pm\sqrt{2}=x-3
\\\\\\
\pm\sqrt{2}+3=x\qquad therefore\qquad (\pm\sqrt{2}+3~~~~,~~~~0)$

5 0

3 years ago

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides at a

Nesterboy [21]

D = rt

We are given the rate r to be 15 mph.

We are given the time (in hours) to be 3.5.

We need to find D.

D = (15)(3.5)

D = 52.5 miles.

Did you follow?

6 0

3 years ago

A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend

labwork [276]

The designer must sell 200 hats for breaking even.

Step-by-step explanation:

Given,

Cost for material for each hat = $5.50

Selling price of each hat = $12.50

Cost spend on advertising = $1400

Let,

x represents the number of hats.

Revenue = 12.50x

Costs = 5.50x+1400

For breaking even,

Revenue = Cost

$12.50x=5.50x+1400\\12.50x-5.50x=1400\\7x=1400$

Dividing both sides by 7

$\frac{7x}{7}=\frac{1400}{7}\\x=200$

The designer must sell 200 hats for breaking even.

Keywords: addition, division

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Hayden is building toy cars. Each car needs 4 wheels. How many wheels will Hayden use to build 3 toy cars?

ycow [4]

Answer:

Step-by-step explanation:

Three cars each need 4 wheels, so that is...

4 + 4 + 4 wheels, which is 12 wheels

8 0

3 years ago

MAX POINTS PLEASE HELP BRAINLIEST FOR CORRECT ANSWER W/ EXPLANATION

maksim [4K]

Answer:

(f o g)(-2)= 11

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers