Write an equation of the line that passes through (0,5.2) and (-1.5,1).
y=

Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.

The function is:

[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]

The zeroes are:

[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]

Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.

Then:

[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]

Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].

A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253

Answer:

Above is the answer, coupled with a detailed step-by-step explanation. Thank you!

Answer:

y = 3x

Step-by-step explanation:

When y = 12, x = 4

When y = 0, x = 0

The y intercept is zero.

The easiest point to see clearly is (4,12)

m = y / x because the y intercept is 0

m = 12/4 = 3

The equation of the line is

y  = 3x which is the last one.

Answer:  2.25 x 10 -7   -7 is the exponent

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

The ratio is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We have

[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

Answer:

y=(5/6)x

Step-by-step explanation:

its how much it rises over how much it runs. so it goes up 5 and to the right 6

Answer:

Step-by-step explanation:

The y intercept is 0. The point that holds the y intercept is (0,0)

The slope is

m = y / x

y = 10

x = 12

m = 10/12

m = 5/6

The equation is y = 5/6 x which looks like D

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

Answer:

option A is the answer 2x-3

Answer:

2x-3

Step-by-step explanation:

(6x-9)/3

This can be simplified to

6x/3  - 9/3

2x -3

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

2x + 3 = 4

subtract 3 from both sides to get x by itself on the left side:

2x = 1

divide both sides by 2:

x = [tex]\frac{1}{2}[/tex]

Answer:

i think its C

Step-by-step explanation:

Hello there for this problem we can make a proportion

[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is

cross multiply and we get that [tex]8x=144[/tex]

divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars

Answer:

1 drink = 12 ÷ 8

= 1.5

So 12 drink = 12 × 1.5

= 8 dollars

Answer:

  yes

Step-by-step explanation:

Put the numbers into the inequality and see if it is true.

Given x = 20, y = 18, ...

  3x + 2y = 3(20) +2(18) = 60 +36 = 96 ≥ 93 . . . . true

You have met the requirements for an A on the test.

Answer: The answer is 3 basic toppings and 2 premium toppings.

Answer:

24

Step-by-step explanation:

12*4/2

The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

[tex]T_n=ar^{n-1}[/tex]

Substitute the given parameters into the formula:

[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]

Hence the missing number in the table is 1296

Learn more on geometric sequence here; https://brainly.com/question/1509142

Answer:

1296

Step-by-step explanation:

Answer:

(4,2) and (2,-2)

Step-by-step explanation:

using m=y2-y1/x2-x1

m= -2-2/2-4=-4/-2

therefore,

m=2

Answer:

[tex] \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } [/tex]

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

C

Step-by-step explanation:

40x + 3

Answer:

A y = 3x + 40

Step-by-step explanation:

He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.

So, to find the amount of money he would make in one day your equation should look something like this

y = 3x + 40

y being that amount of money he makes in one day

3 being that amount of money he receives for every delivery

x being the number of deliveries he makes in one day

40 being that amount of money he makes in one day.

_________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake; I enjoy learning from them:)

The amount of money they must have to be able to buy the items is Php958.25

The amount of money that they must have is the sum of all the amount expressed as:

Total amount  = Php135 + Php123.75 +  Php525.75 + Php96.25 + Php77.5

Total amount = Php958.25

Hence the amount of money they must have to be able to buy the items is Php958.25

Learn more on cost here: https://brainly.com/question/11408596