Answer:
7x - 10
Step-by-step explanation:
f(x)= 5x - 7
g(x)= 2x - 3
f(x) + g(x)
= 5x - 7 + 2x - 3
= 7x - 10
The sum of f(x) and g(x) is 7x - 10.
To find the sum of f(x) and g(x), you simply need to add the two functions:
f(x) + g(x) = (5x - 7) + (2x - 3)
Now, combine like terms:
f(x) + g(x) = 5x + 2x - 7 - 3
f(x) + g(x) = 7x - 10
Therefore, the sum of f(x) and g(x) is 7x - 10.
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Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3
Answer:
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3[/tex]
solving the expression
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}[/tex]
combine the fractions i.e [tex]\frac{7}{3}-\frac{2}{3}=\frac{5}{3}[/tex]
[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}[/tex]
add similar elements i.e [tex]\sqrt{3}-3\sqrt{3}=-2\sqrt{3}[/tex]
[tex]=\frac{5}{3}-2\sqrt{3}[/tex]
Thus,
[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]
Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?
Answer:
Step-by-step explanation:
2/12 = 1/6
24 * 1/6 = 4
or
12/24 = 2/x
12 x = 48
x = 4
or the original width was twice the length
twice 2 is 4
The company in the example on page 301 decides to increase the capacity of its large bottles from 32 fl oz to 40 fl oz. It plans to keep the ratio of capacity to cost the same. How much should the company charge for a bottle that holds 40 fl oz
Answer:
Cost of new bottle = 1.25a
Step-by-step explanation:
Given:
Volume of old bottle = 32 fl oz
Volume of new bottle = 40 fl oz
Computation:
Assume price ratio of old bottle = a
So,
Price ratio of new bottle [Compare by capacity] = [40/32]a
Cost of new bottle = 1.25a
Solve -2 x + 6 = -20.
Answer:
x = 13
Step-by-step explanation:
Subtract 6 from both sides: -2x = -26
divide both side by -2 to isolate x: x = 13
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
-2x + 6 = -20
Step 2: Solve for x
Subtract 6 on both sides: -2x = -26Divide -2 on both sides: x = 13Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -2(13) + 6 = -20Multiply: -26 + 6 = -20Add: -20 = -20Here we see that -20 does indeed equal -20.
∴ x = 13 is the solution to the equation.
Ezra has two weeks to sell popcorn to earn money for camp. For each unit of popcorn that he sells, Ezra will earn $5. He wants to earn at least $250
. During the first week he earned $105.
How many units of popcorn must Ezra sell in the second week to earn at least $250 in the two weeks combined?
The number of units that needs to be sold to earn at least $250 is 20.
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The minimum amount that needs to be earned = $250
One unit cost = $5
The amount earned in the first week = $105
Number of units = x
The number of units to sell in the second week.
150 + 5x ≥ 250
5x ≥ 250 -150
5x ≥ 100
x ≥ 20
Thus,
20 units need to be sold to earn at least $250.
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Which of these is an example of driving at an average rate of 20 miles per hour?
A. driving 10 miles in 2 hours.
B. driving 15 miles in 5 hours.
C. driving 25 miles in 5 hours.
D. driving 40 miles in 2 hours.
Answer:
D
Step-by-step explanation:
40/2=20
Answer:
give the other guy the thing
Step-by-step explanation:
What is the rate of change in the table for 2.6(x-7)^2 + 16, please.
Answer:
the rate of change is negative 0.93 since x is 1 and u subtract 0.07 u get my answer. trust me im learning this im right
Step-by-step explanation:
Can you help me with this plzzzzzzz
Answer:
E: x = 13
F: x = 1.5 or 3/2
Step-by-step explanation:
This is for E:
x + 2/3 = 5
All you do is first multiply 5 * 3
and you will get 15
x + 2 = 15
Then you subtract from 15
15 - 2 = 13
So x = 13
This is for F:
10(x - 1) = 5
So all you do is distribute the 100 with x -1
10 * x = 100x
10 * -1 = 100
10x - 10 = 5
Then you add 10 to 15 because the number is -10
5 + 10 = 15
10x = 15
Now you divide by 10 on both sides
10x/10 = 15/10
10x/10 = x
15/10 = 3/2
So the answer for F is 3/2 or 1.5
The Statue of Liberty, Grand Canyon, and Empire State Building are all examples of __________ good.
A.
private
B.
public
C.
industry
D.
consumer
Please select the best answer from the choices provided
A
B
C
D
Answer:
its c im pretty sure
Step-by-step explanation:
i got it right on my quiz
Can yall help me? I will give out brainliest!!!
Can yall find the area of the shape? I'm so confused. Please HELP
Answer:
The total area is 29 cm2
Step-by-step explanation:
The area of the first rectangle (left side) is 4 * 2 = 8
Second rectangle ( right side ) 4 * 3 = 12
The triangle is 3 * (4 + 2) * 1/ 2 = 9
Total area is 29 cm2
franklin is thinking of two numbers. the sum of the two numbers is 40.the first number x, is 11 less than twice the second number, y. which system of equations can be used to find the two numbers? A) xy=40, x=2y-11 B) x+y=40, x=11-2y C) x-y=40, x=11-y D)x+y=40, x=2y-11
Answer: d) x+y =40
x=2y -11
Step-by-step explanation:
Some one help pleaseeeee its very easy
Answer:
the last one 5/6
Step-by-step explanation:
Answer:
5/6
I hope this helps!
how much more time in hours did Allen spend Listening to music than playing tenis
f.2.88 hours
g.0.48 hours
h.2.40 hours
j.0.12 hours
Answer:
She spent 48 more min listening to music
Your answer is g 0.48 hours
Step-by-step explanation:
I hope this helps
a 12" original sized at 75%, the new size=
Answer:
9"
Step-by-step explanation:
12 = 100%
? = 75%
cross multiply
= 9"
If f(x)=3x^5+2x^4+5, then what is the remainder when f(x) is divided by x−1?
Answer:
The remainder is 10
Step-by-step explanation:
The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder
∵ f(x) = 3[tex]x^{5}[/tex] + 2[tex]x^{4}[/tex] + 5
∵ f(x) is divided by x - 1
∴ g(x) = x - 1
→ Equate g(x) by 0 to find x
∵ g(x) = 0
∴ x - 1 = 0
→ Add 1 to both sides
∵ x - 1 + 1 = 0 + 1
∴ x = 1
→ Substitute x in f by 1
∵ f(1) = 3[tex](1)^{5}[/tex] + 2[tex](1)^{4}[/tex] + 5
∴ f(1) = 3(1) + 2(1) + 5
∴ f(1) = 3 + 2 + 5
∴ f(1) = 10
∵ The remainder is the value of f(1)
∴ The remainder is 10
A French class has a total of 26 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Answer:
Step-by-step explain:
total-females=males
26-6=20
there are 20 males in the class.
I got subtraction because it says less females.
(4,5);y=3/2x+3 write an equation of the line that passes through the given point that is parallel to the given line
Answer:
2x-3/y-5/37=0
Step-by-step explanation:
here, given equation of line is
y=3/2x+3
or,y(2x+3)=3
or,2x+3=3/y
or,2x-3/y+3=0...eqn(i)
equation of any line parallel to line (i) is
2x-3/y+k=0.. eqn(ii)
since, the line passes through (4,5)[replacing x=4 and y=5 in eqn(ii), we get]
2*4-3/5+k=0
or,8-3/5+k=0
or,40-3/5+k=0
or,k=-5/37
substituting the value of k=-5/37 in eqn(ii)
2x-3/y-5/37=0 is the required equation of line.
What is Value of x in the equation 3x+9/2 = x-4/3
Answer: Exact Form:
x= −35/12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A ball is thrown straight up from the top of a building that is 280 feet high with an initial velocity of 48 ft/s. The height of the object can be modeled by the equation s(t)=−16t2+48t+280.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation. Then, determine the time.
Answer:
i hope it helpful
thank you
Answer:
Answer in interval notation is (3, 5.94].
Step-by-step explanation:
First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94
seconds.
Answer in interval notation is (3, 5.94].
ASAP PLZ HELP ME WILL MARK AS BRAINLIST IF RIGHT ANSWER
Answer:
28
Step-by-step explanation:
AB
4(7)=28
Answer:
3/4 BC or 3/2 CD
Step-by-step explanation:
AB = 3
BC = 4
4 x 3/4 = 3
CD = 2
2 x 3/2 = 3
What is the slope of the line that passes through the points -16,0 and -8,2?
Answer:
1/4
Step-by-step explanation:
0 - 2 = -2
-16 - -8 = -8
-2/-8 = 1/4
Whats 100 divided by 25
4 is the quotient of 100 divided by 25.
Here, we have,
given that,
100 divided by 25
now, we have to find the quotient of 100 divided by 25.
so, we get,
100 ÷ 25
now, using the rule of division,
so, we get,
100/25
=> 20/5
=> 4/1
=> 4
Hence, 4 is the quotient of 100 divided by 25.
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What is the solution to the equation? 3(x + 2) - 4 = 2(x - 1) + 5 O A. x = 1 B. X = 2 O C. X = 5 OD. x = 6
PLEASE HELP
Complete the proofs below using the most appropriate method, SSS or SAS.
7. Given: AM = CP, CM = GP, C is the midpoint of AG
Prove: A4CM = ACGP
G
M
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
answer
AM= CP-given
CM=GP-given
C is the midpoint of AG-given
AC=CG- definition of midpoint
ACM=CGP- SSS
The complete proof is as follows:
[tex]\mathbf{AM = CP}[/tex] -- Given[tex]\mathbf{CM = GP}[/tex] -- GivenC is the midpoint of AG -- Given[tex]\mathbf{AC \cong CG}[/tex] --- Definition of Midpoint[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSSThe given parameters are:
[tex]\mathbf{AM = CP}[/tex] [tex]\mathbf{CM = GP}[/tex] C is the midpoint of AGThis means that, the above statements would represent the first three blanks, and their respective reason is "Given"
Because of (3), above
4. [tex]\mathbf{AC \cong CG}[/tex] --- midpoint definition
(1), (2) and (4) imply that:
The three sides of both triangles are congruent by SSS
Hence, the last statement would be:
[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSS
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who else is bummed that the exam has 50 questions on edge
Answer: ME
Step-by-step explanation:
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
a. 2.50(y)=x
b. 2.50+y=x
c. 2.50(x)=y
d. 2.50+x=y
Answer=__________
Please I need this now!!!!!!!!!!!!!
Date : 12/11/2020
Answer:
the answer is letter c 2.50(x)=y
HELP ASAP!!!
When completing an autobiography template, you should never include which of the following? Accomplishment, Experiences, Family roots, Fictional dates
Answer:
Hello The answer is D
Step-by-step explanation:
Why would you submit FICTIONAL dates for a autobiography about
your REAL life.
Ryan goes the mall with his friends after school. At the mall he purchases four pairs of basketball shorts and a pair of sneakers for $100 if he spends a total of $200 how much money did he spend on each pair of basketball shorts?
Answer:
$25.00
Step-by-step explanation:
200-100=100
100/4=25
please help me i need help asap
Answer:
-6
Step-by-step explanation:
Add the positive numbers first which is nine then add a negative like -8 and you get then add -7 which is -6