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3 years ago

-3(x-4) <6 . What is the inequality

Mathematics

1 answer:

frozen [14]3 years ago

3 0

Answer:

x > 2

this is all I know bc I didn't do a step by step explanation Because I am absolutely lazy

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A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is show

dem82 [27]

Product 4 after the third year is 27 which is higher than the rest after 3 years.

And because x is raised to the third, the amount would Increase by being raised to the 3rd every year.

The answer is Product 4.

5 0

4 years ago

Write an equation perpendicular to x - 4y = 20 that passes through the point (4, -3)

Nina [5.8K]

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

$\frac{-4y}{-4} = \frac{-x + 20}{-4}$

You will then get:

y = $\frac{1}{4}x - 5$

From this equation we will only need the slope!

m || = $\frac{1}{4}$

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

2 = $-\frac{1}{2}$

Because $\frac{2}{1}$ = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

8 0

3 years ago

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml

sammy [17]

Answer:

probability at least one zero is 0.3439

Step-by-step explanation:

given data

last four digits = randomly selected

to find out

probability that for one such phone number the last four digits include at least one 0.

solution

we know there are total 10 digit

so we first find probability of non zero digit i.e.

Probability ( non zero ) = 9 /10 = 0.9

and now we find probability of none of digit zero only event happen n= 4 time in a row by multiplication rules i.e

Probability ( none zero in 4 digit ) = $0.9^{n}$

Probability ( none zero in 4 digit ) = $0.9^{4}$

Probability ( none zero in 4 digit ) = 0.6561

so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )

probability at least one zero = 1 - 0.6561

probability at least one zero is 0.3439

3 0

3 years ago

A(-2,3)

Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

$P=AB+BC+AC$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

we have

$A(-2,3),B(3,0)$

substitute in the formula

$d=\sqrt{(0-3)^{2}+(3+2)^{2}}$

$d=\sqrt{(-3)^{2}+(5)^{2}}$

$d_A_B=\sqrt{34}\ units$

step 2

Find the distance BC

we have

$B(3,0),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}$

$d=\sqrt{(-3)^{2}+(-7)^{2}}$

$d_B_C=\sqrt{58}\ units$

step 3

Find the distance AC

we have

$A(-2,3),C (-4,-3)$

substitute in the formula

$d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}$

$d=\sqrt{(-6)^{2}+(-2)^{2}}$

$d_A_C=\sqrt{40}\ units$

step 4

Find the perimeter

$P=AB+BC+AC$

substitute the values

$P=\sqrt{34}+\sqrt{58}+\sqrt{40}$

$P=19.8\ units$

4 0

3 years ago

2(g+5)=-7-4g+g include instructions plz!

Elza [17]

First distribute the 2, then add 7 to that side, so you have 2g+17=-4g+g , subtract 2g and it should be easy to find from there lol

4 0

3 years ago