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3 years ago

Which function is shown in the graph below?

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Answer:

Step-by-step explanation:

As you can see, the range of the graph is all real numbers greater than -4. Therefore you can tell that -4 will have to be in the equation leaving only options B and D. When graphing B and D, D fits the image.

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago

The price of a mobile phone decreased from $375 to $250 during a clearance sale. What is the percent of decrease in the price?

Tresset [83]

So decrease is 375-250=75

so convert 75/375 to percent
percent means part out of 100 so
x/100=x%

divide 125/375=0.3333/1

multiply by 100/100=33/100=33%

the answer is 33% or B

4 0

4 years ago

Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.

Lina20 [59]

Answer:

a=55

b=55

c=125

d=125

e=55

f=55

g=125

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Alan drives 20.4 miles in 17 minutes.He passes a sign which gives the speed limit as 60mph.By how much in mph did Alan exceed th

Rzqust [24]

12 miles over the speed limit

7 0

2 years ago

The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75 percent o

kati45 [8]

Answer:

Answer; Mean = p = 0.75

Standard deviation =0.0274

Step-by-step explanation:

Mean = p = 0.75

Standard deviation = √ [ p ( 1 - p) / n ]

= √ [ 0.75 * ( 1 - 0.75) / 250]

= 0.0274

5 0

3 years ago