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3 years ago

Please help me this is timed

Mathematics

2 answers:

anastassius [24]3 years ago

5 0

Answer: 118

Step-by-step explanation:

4(5)^2+3(6)

4(25)+3(6)

100+3(6)

100+18

118

geniusboy [140]3 years ago

4 0

Answer:

118

Step-by-step explanation:

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Write the equation of the parabola that has the vertex at point (− 1/2 ,2.3) and passes through the point (5,2 3/4 ).

Alex73 [517]

Answer:

The equation of parabola in vertex form is $y=0.015(x+0.5)^2+2.3$

Step-by-step explanation:

Given coordinate of vertex is $(-\frac{1}{2},2.3)$ and the parabola passes through the point $(5,2\frac{3}{4})$

So, the equation of parabola in vertex form is

$y=a(x-h)^2+k$

Where $(h,k)$ is the coordinate of the vertex.

$(h,k)=(-\frac{1}{2},2.3)=(-0.5,2.3).\\\\So,\ h=-0.5\ and\ k=2.3$

Plugging these value in equation we get,

$y=a(x-(-0.5))^2+2.3\\\\y=a(x+0.5)^2+2.3$

Now, we will find the value of $a$

Plug the coordinate $(5,2\frac{3}{4})$

$(x,y)= (5,2\frac{3}{4})\\\\(x,y)=(5,\frac{11}{4})\\\\(x,y)=(5,2.75)$

$2.75=a(5-(-0.5))^2+2.3\\\\2.75=a(5+(0.5))^2+2.3\\\\2.75=a(5.5)^2+2.3\\\\2.75=a\times30.25+2.3\\\\2.75-2.3=a\times30.25\\\\0.45=a\times30.25\\\\\frac{0.45}{30.25}=a\\ \\a=0.0149$

Plug the value of $a$ in the equation $y=a(x+0.5)^2+2.3$

So, the equation of parabola with vertex $(-\frac{1}{2},2.3)$ and passes through the point $(5,2\frac{3}{4})$ is

$y=0.0149(x+0.5)^2+2.3$ ≅ $y=0.015(x+0.5)^2+2.3$

5 0

3 years ago

Mr.Mitchell was doing an experiment about gratity he dropped a basketball off the roof of a building 53.9 feet tall . It took hi

IRINA_888 [86]

The basketball fell at rate of 9.8 feet per second

Step-by-step explanation:

The rate is the distance per unit time

Here

Given

Distance = height = h = 53.9 feet

time = t = 5.5 sec

The rate will be given as:

$Rate = \frac{Height}{time} = \frac{h}{t}\\= \frac{53.9}{5.5}\\= 1.78\\$

Hence,

The basketball fell at rate of 9.8 feet per second

Keywords: Division, decimals

Learn more about division at:

#LearnwithBrainly

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3 years ago

Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate, how much would he paying sales tax before an

sergiy2304 [10]

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