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4 years ago

Help plz 15. and 16. mathexplain and answer is on side already

Mathematics

1 answer:

Darina [25.2K]4 years ago

5 0

15) x^2-2x-8=1/4x-1
x^2-2.25x-7=0
4x^2-9x-28=0
(x-4)(4x+7)=0
x-4= 0 or 4x+7=0
x=4 or x= -7/4=-1.75
16) answer hides in the f(x) equation
the trick is to think of the value that will make the (x-4) =0 and and the y value can be directly plugged off from the +c
therefore, ans is x=2 y= 4
(2,4)

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Nadusha1986 [10]

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3 years ago

What is the constant of proportionality in the graph below? (answer must be simplified fraction) PLEASE HELP I WILL MAKE U BRAIN

Pepsi [2]

Answer:

The constant of proportionality is $\frac{9}{2}$

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities

If x and y are in directly proportion, then $\frac{y}{x}=k$ , where k is the constant of proportionality.

The direct proportion can be represented by a line whose equation is y = kx, where k is the slope of the line.

<em>To find the constant of proportionality from the given graph choose a point on the line and substitute x and y in the equation of the proportionality by the coordinates of the point.</em>

∵ Point (4, 18) lies on the line

∴ x = 4, y = 18

∵ The equation is y = kx

→ Substitute x by 4 and y by 18

∴ 18 = k(4)

∴ 18 = 4k

→ Divide both sides by 4 to find k

∴ $\frac{18}{4}=\frac{4k}{4}$

∴ $\frac{18}{4}=k$

→ Simplify the fraction by dividing up and down by 2

∴ $\frac{9}{2}=k$

∴ The constant of proportionality is $\frac{9}{2}$

6 0

3 years ago

Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)

vladimir2022 [97]

Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8

7 0

4 years ago

The time spent, in hours, of teenagers on social media per year are normally distributed with a population standard deviation of

Olin [163]

Answer:

1329.85≤μ≤1330.14

Step-by-step explanation:

z score for 99% confidence interval

from the z table we can find that the score for 99% confidence is 2.58

formula

z= $\frac{x-μ}{[tex]\frac{{σ}[tex]\sqrt{n}$ }[/tex]}[/tex]

where

x-sample mean

μ-population mean

σ-population standard deviation

n-sample size

2.58= $\frac{1330-μ}{[tex]\frac{{442}[tex]\sqrt{24}$ }[/tex]}[/tex]

1330-2.58×24÷442≤μ≤1330+2.58×24÷442

1329.85≤μ≤1330.14

3 0

3 years ago

A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man ca

vladimir2022 [97]

5*4 for the male roles
6*5 for the female roles
after they are assigned
7*6 for the either gender
20+30+42 =92 total ways
or
20*30*42= 25200 total ways

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3 years ago