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3 years ago

PLS HELP WILL MARK BRAINLIEST!! TY

Mathematics

2 answers:

Fittoniya [83]3 years ago

8 0

Answer:

x=11

Step-by-step explanation:

31+4+5x=90

Combine like terms

35+5x=90

Subtract 35 from each side

5x=55

Divide by 5

x=11

Contact [7]3 years ago

5 0

Answer:

x = 11

Step-by-step explanation:

pls mark me brainleist :))

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A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

3 years ago

HELP I CANT FIGURE IT OUT! <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B18%7D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20"

bija089 [108]

Answer:

1/36

Step-by-step explanation:

²⁾5/18 - ⁹⁾1/4 =

= 10/36 - 9/36

= 1/36

8 0

3 years ago

Is 6/1 equivalent to 6/6

Nadusha1986 [10]

Yes, hope this helps

5 0

3 years ago

Read 2 more answers

Solve for x <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Ba%7D%20" id="TexFormula1" title=" \frac{x}{a} " alt=" \fra

HACTEHA [7]

X=a(y/b)
(just multiply a on both sides)

6 0

3 years ago

A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorit

Alenkinab [10]

The value of p(cc and tc) is 0.1173

The distribution of the replies is 0.12, as shown by the two-way table.

We've done that.

520 randomly chosen individuals from the teen, young adult, and adult age groups were asked about their preferred musical genres by the researcher.

The distribution of the answers is shown in the two-way table.

There are 61 teenagers in the country.

seeing as how this is only one of 520,

The probability formula?

P(E) = (Number of favorable outcomes) = Probability of an Event (Sample space).

61/520=0.1173

We calculate 0.1173 by dividing 61 by 520 and rounding to the next hundredth to obtain 0.12.

Thus the value of p(cc and tc) is 0.1173.

Learn more about profit and loss here :

brainly.com/question/25698647

#SPJ4

7 0

2 years ago