Answer:
The answer is 8
Step-by-step explanation:
f(-3) = 5 - (-3)
The two negatives cancel out
f(-3) = 5 + 3
f(-3) = 8
5. Suppose Sal’s total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different
Answer:
Given:
Profit of every sandwich = $2
Profit of every wrap = $3
x = sandwich
y = wrap
Last month: 2x + 3y = 1,470
Next month: 2x + 3y = 1,593
Based on the given equation:
Both still have the same profit. $2 for sandwiches and $3 for wraps.
The only reason why there is a difference in the total amount is the change in the number of sandwich or wrap sold in a given month.
Since, next month's total sale is higher than last month's total sale, it is safe to assume that the sale of sandwich or wrap is higher than last month's sale.
The graph of the functions for the two moths are similar because both conditions have same slope and they are different because they have different [tex]y-[/tex] intercept.
What is slope intercept form?
The graph of the linear equation is a line with [tex]m[/tex] as slope, [tex]m[/tex] and [tex]b[/tex] as the [tex]y-[/tex] intercept. This form of the linear equation is called the slope-intercept form, and the values of [tex]m[/tex] and [tex]b[/tex] are real numbers.
It is given that, the profit amount is [tex]$\$2$[/tex] for each sandwich and [tex]$\$3$[/tex] for each wrap and total profit is [tex]$\$1593$[/tex].
So, the equation is,
[tex]2x+3y=1593[/tex]
Change the equation in slope intercept form [tex]y=mx+b[/tex]
So,
[tex]2x+3y=1593[/tex]
Subtract [tex]2x[/tex] in both sides.
[tex]2x+3y-2x=1593-2x[/tex]
[tex]3y=1593-2x[/tex]
Divide each side by [tex]3[/tex].
[tex]$\frac{3y}{3}=\frac{1593}{3} -\frac{2x}{3}[/tex]
[tex]$\therefore y=-\frac{2x}{3}+531$[/tex]
So, the equation is,
[tex]y=-\frac{2x}{3}+531$[/tex]
The graph of the equation is shown below.
From the below graph, we will have two step down and three step right.
So, slope looks like rise over run.
So, the graphs represents, how many wraps and sandwiches were sold.
Both will have same slope, because if we will make the equation for this, it is like,
[tex]$2x+3y=1593$[/tex]
The calculation is follow for both condition is same.
Since, both conditions have same slope but different [tex]y-[/tex] intercept.
Hence, next month's total sale is greater than last month's total sale, it is safe to consider that the sale of sandwich or wrap is greater than last month's sale.
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A computer monitor has a width of 12 in. and a height of 9 in. What is the diagonal length of the monitor?
Answer:
15 in
Step-by-step explanation:
Using the formula d² = l² + w², we can substitute the numbers into their correct spots.
d x d = 9 x 9 + 12 x 12
d x d = 81 + 144
d x d = 225
Now we need to figure out what d is
15 x 15 = 225
So
15 squared = 9 squared + 12 squared
Meaning the answer is 15 in.
What is the Greatest Common Factor of the two monomials?
15a²b, 35ab2
Answer:
5ab
Step-by-step explanation:
To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.
Find the largest number of each element that can be divided by both.
Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)
Variable a: the GCF of a² and a is a
Variable b: the GCF of b and b² is b
Therefore, the GCF is 5ab.
Susan has 3/4 cup of raisins and she divides them into 3/8 cup servings. How many servings are there in 3/4 cup of raisins?
2 cups raisins
Step-by-step explanation:
3/4 divided by 3/8
3/4 x 8/3 = 2/1 = 2
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
There are two 3/8 cup servings in 3/4 cups of raisins.
The number of 3/8 cups of servings = 2 servings.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of cups of raisins Susan have = 3/4 cups
The number of 3/8 servings in 3/4 cups of raisins:
= 3/4 ÷ 3/8
= 3/4 x 8/3
= (3 x 8) / (4 x 3)
= 2 servings
Thus,
There are two 3/8 cup servings in 3/4 cups of raisins.
The number of 3/8 cups of servings = 2 servings.
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It took a car 3 days to travel 1068 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
Hello Everybody Love Pizza
Step-by-step explanation:
Answer: 15 mph if they go without stop
Step-by-step explanation:
Solve for y -3y-12=-4
Answer:
−8/3
Step-by-step explanation:
Step 1: Add 12 to both sides.
−3y−12+12=−4+12
−3y=8
Step 2: Divide both sides by -3.
−3y−3=8−3
y=−8/3
is 8.6x10^7 written in scientific notation
Answer:
86000000
Step-by-step explanation:
86000000
Move the decimal point 7 places to the left.
8.6000000*107
Answer:
8.6 x10^7
^So it's 86000000
Select the correct answer.
Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8
Answer is B: x≤-4
Step-by-step explanation:
-2(3x+6)≥4(x+7)
distribute
-6x-12≥4x+28
add 12 on both sides and subtract 4x on both sides
-10x≥40
divide by -10 on both sides. keep in mind that this flips the inequality sign.
x≤-4
Answer:B
Step-by-step explanation:
How much interest is earned on a principal of $900 invested at an interest rate of 13% for eight years?
Answer:
936
Step-by-step explanation:
13% of 900 is 117
117x8= 936
z=6x-y solve for x i need this for aleks
Answer:
(z+y)/6=x
Step-by-step explanation:
Solve for x: z=6x-y
Add y on both sides: z+y=6x
Divide by 6 on both sides (z+y)/6=x
Hope this helps plz mark brainliest if correct :D
The expression z = 6x - y can be written in terms of z and y as x = (z + y)/6, the answer is x = (z + y)/6.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
z = 6x - y
The linear expression is defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
To solve for x make the subject as x:
z + y = 6x
Divide by 6 on both sides:
x = (z + y)/6
Thus, the expression z = 6x - y can be written in terms of z and y as x = (z + y)/6, the answer is x = (z + y)/6.
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if correct ill give u brainlest
Answer:
12 is the answer
Step-by-step explanation:
12
Which is the solution to the inequality?
Answer:
the last one
Step-by-step explanation:
Factor the Expression. 8x - 40 *
(8x - 5)
8(x - 5)
8(x - 40)
Answer:
8(x-5)
Step-by-step explanation:
it would be 8(x-5). factoring means you take a common factor from them all, and put the remaining in parenthesis.
HELP PLEASE :) * giving brainliest*
Solve the system of equation. Write the solution as a coordinate point
Answer:
(2,16)
Step-by-step explanation:
y=-x+18
y=8x
8x=-x+18
8x+x=9x
-x+x=0
9x=18
9x/9=x
18/9=2
x=2
y=8(2)
y=16
Answer:
(2,16)
Step-by-step explanation:
Step 1: Substitute -x+18 for y in y=8x:
-x+18=8x Add X to both sides
9x=18 Divide 9 by both sides
x=2
y=8(2)Plug in the new value for x(which is 2) into one of the equations
y=16
(2,16)
Hope this helped, good luck!
Please help me! If you can show work :) will give brainliest
Answer:
9.8
Step-by-step explanation:
(4 + 5) + 12 = 4 + (5 + 12) Are the expressions equivalent? YES or NO 2) If yes, state the Property. If no, explain.
Answer:
Yes, they are the same.
Step-by-step explanation:
Associative Property
Janet types 584 words in 8 minutes. How fast can she type per minute?
Answer:
73
Step-by-step explanation:
584/8
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answer: f(x)=10+2x
Step-by-step explanation: x = the number of years. 10 represents the starting length . please tell me if i was right
Answer: f(n)=2n+10
Step-by-step explanation:
does anyone know the answers to this ? Pls help me out
Answer:
C. 4
Step-by-step explanation:
2x³+2x¹+2x+5+4/x-1
What is the slope of the line?
Answer:
its positive slope
Step-by-step explanation:
pls complete it (picture)
Answer:
35
Step-by-step explanation:
Roses are red vilots are blue am not that pretty but Dam look at u
Answer:
35 cm²
Step-by-step explanation:
5 cm * 7 cm = 35 cm²
What is the product of -12 and -4?
-48
-16
16
48
Answer:
48
Step-by-step explanation:
Multiply 12 and 4: 48.
Then there are two negatives that cancel out.
Hope this helps :D
Solve:
y = 2x -11
-3y = -6x -15
a - no solution
b - infinitely many solutions
c - (-1.5, -4)
d - (1.5, -4)
Answer:
d
Step-by-step explanation:
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
Group of answer choices
All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Answer:
It would be to ask all the students in the grade.
Step-by-step explanation:
Answer:
it D answer D and it will be correct I just did this test guys well if it isnt D then its all students in each grade I just did this test lol
Step-by-step explanation:
Let me knwo the answer! Will mark brainliest! eAsy 8th grade algebra!
Answer:
the answer is D
Step-by-step explanation:
i 1000000% surebthatś the answer:) don forget to brainllest:)
factor each:
x^8-13x^4+36=0
Answer:
Step-by-step explanation:
a = x^4
a^2 - 13a +36 = 0
(a-4)*(a-9)=0
a = 4, a = 9
so
x^4 = 4, x^4 = 9
x = + or - 4th root of 9 and 4
Select the correct answer. Which statement is true? A. As the risk of an investment decreases, the opportunity of gains increases. B. As the risk of an investment decreases, so does the potential for its return. C. As the risk of an investment increases, its market value increases. D. As the risk of an investment increases, the opportunity of gains decreases. E. As the risk of an investment increases, its market value decreases.
Answer:
The answer is C. As the risk of an investment increases its, market value increases.
Step-by-step explanation:
On a sunny day, if a 36-inch yardstick casts a 21-inch shadow, how tall is a tree whose shadow is 168 in.?
A.143 in.
B.196 in.
C.288 in.
Answer:
I'm pretty sure the answer is 288
The length of a room is 6.25 feet longer than the width, x. Write a expression that represents the perimeter of the room
Answer:
P=4x+12.5
Step-by-step explanation:
Step one:
given data
width W= x
Length L= (x+6.25)
We know that the perimeter of a rectangle is expressed as
P=2L+2W
P=2(x+6.25)+2(x)
P=2x+12.5+2x
collect like terms
P=2x+2x+12.5
P=4x+12.5
Hence the expression for the Perimeter is
P=4x+12.5
I need help now if baby yoda is to live in the next episode in Mandalorian
Answer:
1. 52*
2. 128* ( I think)
Step-by-step explanation:
