A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 50 large boxes and 70 small boxes. If the truck is carrying a total of 4000 pounds in boxes, how much does each type of box weigh?

The option that is the graph of (g – f)(x) is; On a coordinate plane, a straight line with a positive slope goes through points (negative 2, negative 6), (0, 0), and (2, 6).

We are given the function as;

f(x) = -x

Now, the line passes through the points (0,0),(-6,6) and (6,-6) is;

The function given as; g(x) = 2x

This line passes through the points (-3,-6),(0,0) and (3,6).

Before we graph (g - f)(x), we have to first simplify it to get;

The graph of of (g - f)(x)

(g - f)(x) = g(x) - f(x)

= 2x - (-x)

= 3x

At x = 0, we have;

(g - f)(0) = 3(0) = 0

At x = 2, we have;

(g - f)(2) = 3(2) = 6

At x = -2, we have;

(g - f)(-2) = 3(-2) = -6

At x = -6, we have;

(g - f)(-6) = 3(-6) = -18

Looking at the options, option C is true

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Answer:

An equation is a proposition of two expressions that are equal.

Step-by-step explanation:

The linear function f with  f(0) = 7 and f(3) = 1 is  y = -2x + 7

Linear equation can be represented in slope intercept form as follows:

y = mx + c

where

Therefore,

f(0) = 7 and f(3) = 1

Using linear equation

7 = m(0) + b

b = 7

1 = m(3) + 7

1 - 7 = 3m

-6 = 3m

m = - 6 / 3

m = -2

Therefore, the linear function is y = -2x + 7

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[tex]a=\frac{6}{5}[/tex].

[tex]a+\frac{4}{5} =\frac{1}{\frac{1}{2} }[/tex]

[tex]a+\frac{4}{5} =1*\frac{2}{1} \\ \\a+\frac{4}{5} =2[/tex]

[tex]a+\frac{4}{5}-\frac{4}{5} =2-\frac{4}{5}\\ \\a=\frac{2}{1}-\frac{4}{5}\\\\a=\frac{2*5}{1*5}-\frac{4}{5}\\ \\a=\frac{10}{5}-\frac{4}{5}\\ \\a=\frac{10-4}{5} \\ \\a=\frac{6}{5}[/tex]

[tex](\frac{6}{5} )+\frac{4}{5} =\frac{1}{\frac{1}{2} }\\ \\\frac{10}{5} =2\\ \\2=2[/tex]

[tex]a=\frac{6}{5}[/tex].

Answer:

chocolate- 2 dollars walnuts- 4

Step-by-step explanation:

2 x3=6. 14-6=8

8÷2=4

Answer:

snap to solve

Step-by-step explanation:

u can use snap to solve to get ur answers

Answer:

Step-by-step explanation:

cost price = $640

sell price = $940

percentage = ?

Rate * Base = Amount

Percent * Sell Price = Cost Price

P * 940 = 640

P940 = 640

P940/940 = 640/ 940

P = 0.66666667

Percent = (0.66666667 × 100)/100 = 66.666667

Correct Answer is 66 2/3%

Answer:

191=266+109x

Step-by-step explanation:

It says 191 is the same as 266 added to the product of 109 and _____. i am guessing you meant to say a variable.

Answer:

13.5

Step-by-step explanation: that's the minimum of dimensions for the box

Answer: As x approaches infinity, f(x) approaches infinity.

As x approaches -infinity, f(x) also approaches - infinity.

Step-by-step explanation:

You can either graph this function on an online graphing (such as desmos. com) calculator to see the end behavior, or you can try inputting some numbers in. You could put in the number 1,2,3 and see that the graph will keep on increasing to positive infinity, and input the numbers -1,-2,-3 to see that the numbers will decrease to negative infinity.

The number of ways the digits of the given number can be arranged would be = 5,040

Factorials are mathematical expressions that are used to show the number of ways a variable can be arranged in a data set.

The number of digits found in the number 7,550,000 = 7

The number of ways the digits can be arranged would be the factorials of 7 (7!) ;

= 7×6×5×4×3×2×1

= 5,040

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Answer:

2 + (-10) = 12

Step-by-step explanation:

The great answers. Thank you. I hope for help to you.

Answer:

1

Step-by-step explanation:

Replace the variable letter with the number.

t + d / 8 - 6

6 + 8 / 8 - 6

6 + 1 - 6

7 - 6

1

The slope of the line shown in the graph is 4.5 .

In the question ,

it is given that ,

the amount of grapes is represented on x axis . and

the cost for that grape in the grocery store is represented on y axis .

to find the slope we need two points on the line ,

from the graph we can take two points as (1 , 4.5) and (2 , 9) ,

the slope can be calculated using the formula

slope = (change in y coordinate)/(change in x coordinate)

slope = (9 - 4.5)/(2 - 1)

slope = 4.5/1

slope = 4.5 .

Therefore , The slope of the line shown in the graph is 4.5 .

The given question is incomplete , the complete question is

The graph below shows the cost of grapes at a grocery store. What is the slope of the line?

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Answer:

Only Julia's Question.

Step-by-step explanation:

Julia: 8÷[tex]\frac{1}{4}[/tex]

Tanveer: 8*1/4

The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

In the question ,

it is given that ,

the function f(x) = √(x+2) and the function g(x) = ax + b

also given that

fog(1) = 2

f(g(1)) = 2

f(a + b) = 2         .... because g(1) = a + b

√(a + b +2) = 2

Squaring both the sides

a + b + 2 = 4

a + b = 2      .......(1)

also given that

g(-1) = 2

a(-1) + b = 2

-a + b = 2         .....(2)

Adding equation (1) and (2) , we get

2b = 4

b = 2

Substituting b = 2 in the a + b = 2 , we get

a + 2 = 2

a = 2 - 2

a = 0

Therefore , The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

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Answer: 24.5

Step-by-step explanation: 3.5 x 7 = 24.5

Answer: 24.5 ounces

Step-by-step explanation:

3.5 times 7 = 24.5 ounces

If you have trouble try

3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5

The solution to this inequality in interval notation is {-∞, -3} and it goes to the left on the number line.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data such as integers, and variables in an equation based on any of the following inequality symbols:

From the information provided, we have the following inequality:

4.2y ≤ -12.6

Dividing both sides of the inequality by 4.2, we have the following:

y ≤ -12.6/4.2

y ≤ -3

In conclusion, a solution to this inequality is equal to {-∞, -3} as shown in the number line (graph) attached below.

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From the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

As given in the question,

For the given graph of a function,

Number of points represented on the graph are 5

Points are a, b, c, d, e

Point a, c, e are on the x-axis.

Relative extreme value representing the maximum and minimum value of the graphed function.

For the given graph,

Maximum value represented by point d.

Minimum value represented by point b.

Number of points representing relative extreme values are 2 ( b and d).

Therefore, from the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

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Answer:

y + 4 = -(x - 8)

Step-by-step explanation:

The point-slope form equation is y - y1 = m(x - x1)

Since we're given m and since they use the 4 from (8, -4) as y - (-4) = y+4, we simply need to plug in 8 into the RHS of the equation and you can check the math.

If you substitute 8 and -4 for y and x, you have:

-4 + 4 = -1(8 - 8)

0 = -1 * 0

0 = 0

You'd get -2 on both sides if you used -6 and 10, but having an equal equation means our math is true/accurate.

Answer:

x> 2

Step-by-step explanation:

18< 9x  Divide both sides by 9

2<x  or x > 2  All the numbers greater than 2 is a solution.

Answer:

I believe the answer is c

Answer:

slope is m=1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: use the slope formula to find the slope m

Withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

What do you mean by simple interest and compound interest?

Simple interest can be defined as the amount that is paid back using borrowed money over a period of time.

simple interest:

Simple interest can be defined as the principal of a loan or deposit that an individual puts into a bank account.

Compound interest:

Compound interest is interest that accrues on the principal and accrues interest.

Given:

Principal, P = $710000

Rate of interest, r = 8.25%

Time period, t = 20 years

withdrawal at the end of 20 years , A = [tex]P(1+r)^{t}[/tex]

A = [tex]710000(1+8.25/100)^{20}[/tex] = [tex]710000(1+0.0825)^{20}=710000(1.0825)^{20}[/tex]

Therefore, withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

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The length of the line is 10ft  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse in familiar algebraic notation, a2 + b2 = c2

Given that A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow

We have to find a third side

By using Pythagoras' theorem. a^2+b^2=c^2

8^2+6^2=c^2

64 +36 = c^2

c^2= 100

c^2= 10

Therefore the length of the line is 10ft

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Answer:

p = 5.8

Step-by-step explanation:

12 = p + 6.2  Subtract 6.2 from both sides.  Ling subtracted 6.2 from the right, but added it to the left side.

5.8 = p

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

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The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

Answer:

C

Step-by-step explanation:

4(n-5)<3(n+11)

4n-20<3n+33

4n-3n<33+20

n<53

n is not 53 but less than 53.

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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Answer: (y - 1) = 4(x + 8)

Step-by-step explanation:

The point-slope form is (y - y₁) = m(x - x₁), where:

So, the point-slope of this line would be (y - 1) = 4(x + 8).