a²+12a=-32 if possible with explaination please!!

Answer:

y= (3/4) x - (3/2)

Step-by-step explanation:

3x - 4y = 6 (using algebra add the 4y to the other side & subtract the 6 to the other side >> 3x - 6 = 4y (then divide everything by 4 to get y by itself) >> 3/4x - 6/4 = y (then simplify) >> 3/4x - 3/2 = y

Answer:

[tex]300\div b[/tex] windows

Step-by-step explanation:

We can find how many windows each building has by changing our old expression.

If we assume [tex]b[/tex] is the amount of buildings and [tex]w[/tex] is the amount of windows per building, we can make the equation:

[tex]wb = 300[/tex].

Now we want to isolate w on one side.

To do this we can divide both sides by b.

[tex]wb\div b = 300\div b\\\\w = 300\div b[/tex]

So the amount of windows per building is [tex]300 \div b[/tex].

Hope this helped!

Answer:

Linear Function

Step-by-step explanation:

Given

The table showing values of x and y

Required

Determine the type of function

To determine the type of function, the table represents;

One will need to determine the table equation.

Start by solving for the slope;

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

When x - 0; y = 0 and When x = 80; y = 60.

This gives

[tex]m = \frac{0 - 60}{0 - 80}[/tex]

[tex]m = \frac{- 60}{- 80}[/tex]

[tex]m = \frac{3}{4}[/tex]

The formula is determine as follows;

[tex]y - y_1 = m(x - x_1)[/tex]

When x - 0; y = 0; m = 3/4; This gives

[tex]y - 0 = \frac{3}{4}(x - 0)[/tex]

[tex]y = \frac{3}{4}(x - 0)[/tex]

Open Bracket

[tex]y = \frac{3}{4}x - 0[/tex]

[tex]y = \frac{3}{4}x[/tex]

The above is an example of a linear equation.

Hence; option B answers the question

Answer:

y = - 1/2x

Step-by-step explanation:

Answer:

[tex](-\infty,-9)\cup(-9,\infty)[/tex]

Step-by-step explanation:

The domain of a rational function is all real numbers except for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

[tex]s(y)=\frac{7y}{y+9}[/tex]

Set the denominator to 0:

[tex]y+9=0[/tex]

Subtract 9:

[tex]y\neq-9[/tex]

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

[tex](-\infty,-9)\cup(-9,\infty)[/tex]

And we're done :)

Answer:

the answer is 1

Step-by-step explanation:

it's in the picture

Answer:

first week = m miles

second week = 6 miles less than triple the number of miles they ran the

first week.

Triple of the number of miles they ran the first week = 3 * m = 3m

Therefore = 3m - 6

Answer:

Number of Trucks = 17

Step-by-step explanation:

Given:

Total number of cars and truck = 43

Find:

Number of Trucks

Computation:

Assume

Number of Trucks = x

Number of Cars = 2x - 8

Total number of cars and truck = Number of Trucks + Number of Cars

43 = x + 2x - 8

51 = 3x

x = 17

Number of Trucks = 17

Answer:

b

Step-by-step explanation:

Answer:

  f(x) = 2x +3

Step-by-step explanation:

If we assume the first point in your table is supposed to be (-7, -11), then the function exhibits a constant slope of 2.

For example, from (x, y) = (3, 9) to (4, 11) the x-value changes by 1, but the y-value changes by 2.

The only offered answer choice with a slope (x-coefficient) of 2 is ...

  f(x) = 2x +3

Answer:

Five more than a number

Step-by-step explanation:

Answer:

b. none

Step-by-step explanation:

All the other answers have the number 8 in it which the equation does not have.

The options in this question are not given; here is the complete question:

A medical researcher measures the increase in heart rate of patients under a stress test. What kind of variable is the researcher studying?

A. Identifier

B. Categorical

C. Quantitative

D. Qualitative

The answer to this question is C. Quantitative

Explanation:

In research, a quantitative variable refers to a variable or factor that involves using numbers, percentages, and in general, quantities to be understood. Moreover, this is the opposite of qualitative variables that involve using qualities. The medical research described includes a quantitative variable because heart rate can only be measured and understood through numbers. Also, other types of variables such as qualitative or categorical are not involved because these are related to qualities rather than numbers.

Answer:

PLEASE READ EXPLANATION

1. [tex]x = 7[/tex]

2. [tex]b = 3[/tex]

3. [tex]n = 6[/tex]

4. [tex]b = 1[/tex]

Step-by-step explanation:

I’m going to assume the equations are as following - you made it a bit hard to read.

[tex]x - 7 = 0[/tex]

[tex]-15 = b - 18[/tex]

[tex]4 = n-2[/tex]

[tex]b-(-16) = 17[/tex]

I’m just shooting guesses here, if I said an equation wrong PLEASE let me know.

We can solve each equation by isolating x on one side.

Number 1:

[tex]x - 7 = 0\\\\x - 7 + 7 = 0 + 7\\\\x = 7[/tex]

Number 2:

[tex]-15 = b - 18\\\\-15 + 18 = b - 18 + 18\\\\3 = b[/tex]

Number 3:

[tex]4 = n-2\\\\4 + 2 = n - 2 + 2\\\\n = 6[/tex]

Number 4:

[tex]b-(-16) = 17\\\\b+16=17\\\\b + 16 - 16 = 17 - 16\\\\b = 1[/tex]

Hope this helped!

Answer:

(x-9/2)²-25/4

Step-by-step explanation:

x² - 9x + 14

to complete the square , need to add a term (b/2)²: (-9/2)²=81/4

x² - 9x -81/4+ 14+81/4

x²-9x+81/4=(x-9/2)²

14-81/4=66-81/4=-25/4

(x-9/2)²-25/4

Answer:

I believe the answer is B...

Step-by-step explanation:

Answer:

Step-by-step explanation:

Addition property is used in an equation when the same value is added to both sides of the equation to simplify such equation.

Given the equation 2y-40=-18 to simplify the equation further we need to first add 40 to both sides of the equation thereby justifying the addition property as shown;

2y-40 + 40 =-18+40

2y = 40-18

2y = 22

We will also apply the division property here. Division property is used when both sides of an equation is divided by a number without affecting the equality rule.

Dividing the resulting equation by 2:

2y/2 = 22/2

y = 11

Hence the justification for the equation 2y-40=-18 are both adition and division property.

Answer:

5

Step-by-step explanation:

C(-6,5)  D (-3,1)

to find a distance between two points use the following formula:

d=√(x2-x1)²+(y2-y1)²

d=√-3-(-6)+(1-5)²

d=√(-3+6)²+(-4)²

d=√(3)²+16

d=√25

d=5

Answer:

7

Step-by-step explanation:

you had to go up 3 times on the x place to make -6 to -3

you had to go down 4 times to make 5 go to 1

so 3+4 is 7

Answer:

3 or 4

Step-by-step explanation:

Answer:

6 m and 18 m

Step-by-step explanation:

There are 2 similar triangles in the diagram

lamppost/ lamppost's shadow/ line from end of shadow to top of lamppost

Nick/ Nick's shadow/ line from end of shadow to top of Nick

Therefore the ratios of corresponding sides are equal.

Note the shadow of the lamppost = 12 + x, thus

[tex]\frac{6}{2}[/tex] = [tex]\frac{12+x}{x}[/tex] ( cross- multiply )

6x = 2(12 + x) = 24 + 2x ( subtract2x from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Thus

Nick's shadow is 6 m long

Lamppost's shadow is 12 + 6 = 18 m long

Answer:

34 kg

Step-by-step explanation:

(938/7) = 134 kg per car, so since they only have 100 kg, 34 kg are missing to complete the car.

Answer:

no solutions

Step-by-step explanation:

−3(x + 3) = −3(x + 1) − 5

Distribute

-3x -9 = -3x -3 -5

Combine like terms

-3x -9 = -3x-8

Add 3x to each side

-9 = -8

Since this is never true, there are not solutions

Answer:

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, circles and square.

we know that the pizza has a  circular profile

and the place-mat has a square profile.

Step one:

let us solve for the radius of the pizza

[tex]area-of- pizzza= \pi r^2\\\\ 78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in[/tex]

Step two:

from inspection we know that the width of the place-mat is same as the diameter of the pizza

hence diameter of pizza

= 2r

=2*5

=10 in

Answer:

D

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 12 when x = 6, thus

- 12 = 6k ( divide both sides by 6 )

- 2 = k

y = - 2x ← equation of variation

When y = - 4, then

- 4 = - 2x ( divide both sides by - 2 )

2 = x → D

Answer:

5

Step-by-step explanation:

Looked it up on google

Answer:

[tex] \sqrt{5} \times \sqrt{5} = 5[/tex]

Step-by-step explanation:

bc 5 isn't a perfect square I'll use another number as an example.

the square root of 36 is 6 right? so 6 × 6 is 36.

or it can be written as 6^2=36.

hope this makes sense

Answer:

7

Step-by-step explanation:

4 ÷ 2 = 2

2 × 5 = 10

17 - 10 = 7

Answer:

24

Step-by-step explanation:

17 minus 5 is 12

12 times 4 is 48

48 divided by 2 is 24

yeah....

Answer:

2 19/5

Step-by-step explanation:

4 7/9 ÷ 1 7/12

start by turning them into improper fraction by multiplying the denominator to the whole number and adding the product to the numerator , you will get :

42/9 ÷ 17/12

42/9 * 12/17 ( reciprocal )

42/3 * 4/17 (9 and 12 can be cut smaller because both are in 3's table)

= 172/51

turn this into mixed fraction by -

Divide the numerator by the denominator.

Write down the whole number answer

Then write down any remainder above the denominator

you will get = 2 19/5

4 7/9 divided by 1 7/12 will be 3 1/57.

The first thing to do is to change the mixed fraction to improper fraction and this will be:

= 4 7/9 ÷ 1 7/12

= 43/9 ÷ 19/12

Then we change the division sign to multiplication and this will be:

= 43/9 × 12/19

We then reduce to lowest term

= 43/9 × 12/19

= 43/3 × 4/19

= 172/57

= 3 1/57

In conclusion, 4 7/9 divided by 1 7/12 is 3 1/57.

Read related question on:

https://brainly.com/question/18624736

Answer:f8

Step-by-step explanation: