Use synthetic division to evaluate f(x)=-x^2-8x+30 for x=-1 .



f(-1)=

The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.

The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.

Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .

T=35 + 20 H

At T = 85 , we substitute the value of T in the linear equation to find H .

T=35 + 20 H

or, 85 = 35 + 20H

or, 50=20H

or, H=2.5

Therefore the value of H is 2.5 hours when T is 85.

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Answer:

6 days to produce

Step-by-step explanation:

24÷4=6 days

The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

Since A clothing factory produces 4 boxes of jackets every 3 days.

Here the number of days should be

[tex]= 24\div 4[/tex]

= 6 days

Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.

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Answer:

The last one (8.6x10^-2)

Answer:

that will be 40(wire)-12(rope)=28parts

Step-by-step explanation:

6meter wire div by 0.15 eq to 40

3meter rope div 0.25 eq to 12

so we use 40-12=28parts

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

y+5=-[tex]\frac{2}{3}[/tex] x+4

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

Answer:

22

Step-by-step explanation:

but be more especific

Answer: -4x-34y-32

(I think this is right but I am not completely sure... if its not I am sorry :/ )

Step-by-step explanation:

First Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

48[(6/24x-8/24x)-(8/24y+9/24y)-2/3]

48(-2/24x-17/24y-2/3)

48(-1/12x-17/24y-2/3)

-4x-34y-32

Second Way:

48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3)

12x-16y-16x-18y-32

-4x-34y-32

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Answer:

yes its r>7

Step-by-step explanation:

-1.3>2.9-0.6r   subtract 2.9 on both sides and do KCC keep change change

-2.9 -2.9

__________

-4.2>0.6r

________   divide by -0.6 on both sides to get

.6         .6

________

7<r or r>7 either way is fine

Answer:

11/24

Step-by-step explanation:

Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.

Answer:

[tex]m=\frac{8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (1, 4)

Step 2: Find slope m

Answer: it will move down.

Step-by-step explanation:

because of gravity.

Answer:

going on by 2 every

Step-by-step explanation:

The equation of line is given as : y = 3x + 6

According to the question we have been given that the line passes through the points (-1,3) and has gradient 3

We need to find the equation of line. The general form of slope intercept form is

              y = mx + c

where,  m = slope

            c = intercept

When a point and slope is given then the expression for the equation of line is given as:

                   [tex](y - y_{1})=m(x-x_{1})\\[/tex]          (1)

where (x1,y1) are the coordinates which is (-1,3)

           m = slope or gradient = 3

Putting the required values in  equation (1) we get

                 (y-3) = 3(x+1)

                  y-3 = 3x + 3

                   y = 3x + 6

Hence the equation of line is given as : y = 3x + 6

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Answer: y=3x+6

Step-by-step explanation:

Answer:

fing the variable that is what u need

Answer:

7

Step-by-step explanation:

The angles that we are sure about is 33 and 90. The angles of a triangle add up to 180. 33 + 90 = 123. 180 - 123 = 57. 57 = 7x+8, 49 = 7x, x = 7.

Answer:

x = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

33° + 90° + (7x + 8)° = 180°

Step 2: Solve for x

Using a system of equations, the equation that determines how many balloons each friend receives is given by:

2 + 4 + 2b = 20.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

You want to buy 2 sodas for Jake, 4 candy bars for Julian, hence:

s = 2, c = 4.

An equal number of balloons b, hence 2b is added to the equation, as the amount has to be 2, 4, 6, and so on, considering one balloon for each.

The total amount of money is of $20, hence the equation is:

2 + 4 + 2b = 20.

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Answer:

Combine like terms

2 + − 4

3x − 4y

Answer:

[tex]3x-4y[/tex]

Step-by-step explanation:

[tex]2x+x-4y[/tex]

If a term doesn't have a coefficient , it is considered that the coefficient is 1

[tex]2x+1x-4y[/tex]

Why is it considered that the coefficient is 1?

Remember that any term multiplied by 1 remains the same:

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

Step 1

The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:

[tex]x=1 . X \\[/tex]

Step 2

Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:

[tex]x=1x[/tex]

That is why we can write the term without the coefficient as a term with coefficient 1.

Let's go back to your problem now

Collect like terms by adding their coefficients

[tex](2+1)x-4y[/tex]

Add the numbers

[tex]3x-4y[/tex]

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Answer:

What ?

Step-by-step explanation:

Answer:

The archaeologists dis not actually discovered the lost temple

Step-by-step explanation:

For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.

Area of the temple = LW

Perimeter = 2L + 2W

L is the length

W is the width

If the perimeter is 220m

220 = 2L + 2W

110 = L+W ... 1

If the area is 2100 square meters

A = LW

2100 = LW ... 2

From 1;

L = 110 - W .... 3

Substitute 3 into 2

From 2;

2100 = LW

2100 = (110-W)W

2100 = 110W - W²

- W² + 110W - 2100 = 0

W² - 110W + 2100 = 0

Using the general formula;

W = -(-110)±√(-110)²-4(1)(2100)/2

W = 110±√3700/2

W = 110±60.83/2

W = 110±60.83/2

W = 110+60.83/2 and W = 110-60.83/2

W = 170.83/2 and 49.17/2

W = 85.415m and 24.585m

Substitute the width into the formula to get the length;

LW = 2100

L = 2100/W

L = 2100/85.415

L = 24.59 m

If the width is 24.585m;

L = 2100/24.585

L = 85.42m

Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple

Answer:

1. 116.5 degrees

2. 26 degrees

We can move from 100 to 10^6 by multiplying with 10^4.

We know that it is possible to move from one value to another by the use of multiplication or division. Now in either case, there is a value that we have to us to multiply or divide another number order to move from one number to another.

Now we have the number 100 and we want to change it to 10^6. The implication of this is that the number 100 must have to be multiplied by the number 10^4 in order to arrive at the expected destination.

Thus;

100 * 10^4  = 10^6

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Answer:

1) D

2)A

Step-by-step explanation:

Number 1) Don’t get confused with the -10 and 10, we already know that the value is already 20 so that narrows it to 2 choices. Now everytime you move on, it subtracts 10 so its 20:-10

Number 2) This one is pretty easy, we know that he drives about 12,000 miles a year but we don’t know how many years, so that unknown variable would be (x), now the 40,000 miles was already on it so that can’t change, only The years change so therefore the equation could be 12,000x+40,000

Answer:

5 miles=8km

1miles=8/5=1.6km

57.5 miles=(57.5×1.6)km

=92km

Answer:

12 17/50

Step-by-step explanation:

Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.

The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).

Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.

Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.

Hope this helps :)

Answer:

A)6, 2, -2,-6

Step-by-step explanation:

a(n) = a +(n-1)d

a(n) = a +dn-d

a(n) = a-d + dn

a(n) = 10 - 4n

So d=-4

to get a: (a-d)=10

             a=10-4=6

The first four  terms:

a(1) = 6 +(1-1)-4=6

a(2) = 6 +(2-1)-4=2

a(3) = 6 +(3-1)-4=-2

a(4) = 6 +(4-1)-4=-6

it will be A

hope this helps

Answer:

B.) 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x - y = -1

3x + 5y = 21

Step 2: Rewrite Systems

x - y = -1

Step 3: Redefine Systems

x = y - 1

3x + 5y = 21

Step 4: Solve for y

Substitution