Select the correct answer. Consider functions fand g. f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7) Which expression is equal to f(x) + g(x)? A. 4x2 – 3x + 4 B. -10r2 + 41 – 3 C. -10,2 – 3x + 4 D. –332 – 3x - 3
Answer:
Correct Answer:
Option (B) -10r2 + 41 - 3
Step-by-step explanation:
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The expression is equal to f(x) + g(x) is -10x^2 - 3x + 4, the correct option is C.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division. An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The expression f(x) = -3x^2 + 4x + 4 g(x) = x(-7x – 7)
Now,
To find f(x) + g(x), you can add the two functions term by term. This gives you:
f(x) + g(x) = (-3x^2 + 4x + 4) + (x(-7x – 7))
f(x) + g(x) = -3x^2 + 4x + 4 - 7x^2 - 7x
f(x) + g(x) = -10x^2 - 3x + 4
Therefore, by the given expression the answer will be -10x^2 - 3x + 4.
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What is the value of this expression when X equals 8? 4X -6+ X +3
Answer:
32-6+8+3
37
Step-by-step explanation:
Answer:
32 - 6 + 8 + 3 = 37
Step-by-step explanation:
Since we have the x-value, we can plug it in.
4(8) -6 +(8) +3
32 - 6 + 8 + 3
26 + 11
37
Сумма пяти последовательных натуральных нечетных чисел равна 9975 Найдите эти числа
The figure shown consists of a rectangle and quarter circle ?
Answer:
Can I have the numbers???
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest hundredth. 3 in
Answer:
28.27 or 28 rounded up.
Answer:
7.07 in²
Step-by-step explanation:
Diameter = 3 in ( shown in figure )
Radius = 1/2( diameter) = 1/2 (3) = 1.5 in
Area of a circle = πr²
Area = (3.14)(1.5)²
Area = (3.14)(2.25)
Area = 7.065 in
Area = 7.07 in² ( round off)
me pueden ayudar a resolver la ecuaciones
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answer:
1. 2,160ft^3
2. multiply the total volume by 2.5
3. 5,400 BTUs
Step-by-step explanation:
hope this helps
Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
(10x - 4)=20
Question: What value of x makes the equation true
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
Find Equivalent Expression 1/2 (4x + 4)
Answer:
2x+2
Step-by-step explanation:
1/2(4x)+1/2(4)=2x+2
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
hope this helps:)))
Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40
shots, how many would she have scored if she takes 60 shots? (Round your answer down to the nearest point
scored)
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Answer:
She would have scored 75 points.
Step-by-step explanation:
Points scored in a basketball game vary directly with shots taken.
This means that this question can be solved by proportions, using a rule of three.
How many would she have scored if she takes 60 shots?
Using a rule of three:
50 points - 40 shots
x points - 60 shots
Applying cross multiplication:
[tex]40x = 50*60[/tex]
Dividing both sides by 40
[tex]x = 50*1.5 = 75[/tex]
She would have scored 75 points.
Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31
Answer:
mean=28.8
median=31
Step-by-step explanation:
mean=sum of all values/number of all values
mean=40+45+7+21+31+40+45+7+21+31/10
=288/10
mean=28.8
Median
arrrange in order
7,7,21,21,31,31,40,40,45,45
in case of even ungrouped data median is the average of middle two values
= (31+31)/2
median =31
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
the first one, QPN and OPS
Explanation:
they're intersecting and opposites
hope that helped :)
Answer: OPN AND QPN I think (I’m so sorry if I’m wrong)
Step-by-step explanation:
The question is down below.
AB=
Answer:
Step-by-step explanation:
This time we use the sin identity.
I am too lazy to write it out again but the answer is 6.97
anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug
Answer:
36 feet :P
Step-by-step explanation:
4x9=36 habe a wonderful day love
Answer:
0.44. ??
Step-by-step explanation:
How would the imaginary number 7/2i be written as a complex number?
Answer:3.5? i’m not sure sorry
hope that kinndaaaa helps if xxo
Step-by-step explanation:
The representation of (7/2)i in complex number will be 0 + (7/2)i thus option (C) will be correct.
What is a complex number?Complex numbers are helpful in finding the square root of negative numbers.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The general form of a complex number is a + ib where the first part a called real and the ib is called imaginary.
The complex number is written as a + ib where a is said to be the real part while bi is the imaginary part.
As per the given (7/2)i here real part is missing thus, put a = 0
0 + (7/2)i will be the correct.
Hence "The representation of (7/2)i in complex number will be 0 + (7/2)i".
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One angle of a right triangle measures 60°. What is the measure of the other acute angle?
Answer:
30 degrees
Step-by-step explanation:
triangles have 180 degrees
right triangles have a right angle which is 90 degrees
180-90=90
90-60=30
Answer:
30 degrees
Step-by-step explanation:
A triangle has three sides that should add up to 180.
Since it is a right triangle a side has to be 90°.
90°+60°+_30°_ = 180°
What are the solutions to the system?
A. (0, 5.6) and (0, 13)
B. (0, 13) and (16, 1)
C. (4, 10) and (7, 7.75)
D. (16, 1) and (10,0)
Answer:
(4, 10) and (7, 7.5) are the solutions to this system.
Step-by-step explanation:
You can see this by observing the two given points where the line and the parabola intercept. Those are the only two points where that will happen.
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
Is 2/5 greater than 2/3?
Answer:
no because 2/3 is greater
Answer:
no
Step-by-step explanation:
2/5 and 2/3 can be turned into 6/15 and 10/15. you can clearly see 10/15 (2/3) is higher in value than 6/15.
The diameter of one red blood cell is about 2.95E-4 of an inch. It would take about 5.35E12 red blood
cells laid end to end to span the circumference of the earth.
What would be the length of this chain of red blood cells?
Answer:
1.578 × 109 inches
Step-by-step explanation:
Multiply the diameter of one red blood cell by the number of red blood cells to determine the length of the chain.
First, write both numbers in scientific notation.
Now, multiply using the product property of exponents.
Since the first term of a number written in scientific notation must be greater than 1 and less than 10, rewrite 15.78 × 109 as 1.578 × 109.
So, the length of the chain of red blood cells would be about 1.578 × 109 inches long.
What is c/6=9 equals to
c = 54
!!!_!£((£2((2)1)1)1
Parallel to y = 2x – 5
going through (-6, 1)?
Answer:
y=2x+13
Step-by-step explanation:
Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.
Therefore the gradient of the other line will also be 2.
Introduce another point (x,y) and then equate using the gradient as follows:
y-1/x--6=2
y-1/x+6=2
Cross multiplication;
(y-1)=2(x+6)
y-1=2x+12
y=2x+12+1
y=2x+13
Solve the given proportion 2/4 = 5/x
The solution to the proportion 2/4 = 5/x is x = 10.
To solve the given proportion 2/4 = 5/x, we can cross-multiply and then solve for x.
Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and then multiplying the denominator of the first fraction with the numerator of the second fraction.
Using the given proportion:
2/4 = 5/x
Cross-multiplying:
2 * x = 4 * 5
Simplifying:
2x = 20
To isolate x, divide both sides of the equation by 2:
(2x)/2 = 20/2
Simplifying:
x = 10
Therefore, the solution to the proportion 2/4 = 5/x is x = 10.
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T
|3x°
--
V
W
Find the measure of angles T and V.
mZT=
o
mZV=
Answer:
∠T = 67.5
∠V = 22.5
Step-by-step explanation:
Angles of a triangle rule: The angles of a triangle should add up to equal 180
That being said we create an equation to solve for x
180 = 3x + x + 90 ( there is a right angle indicated by the square at the bottom right of the triangle. A right angle has a measure of 90 degrees so that is where the 90 cam from )
Now that we've created an equation we want to solve for x
180 = 3x + x + 90
step 1 combine like terms
3x + x = 4x
now we have 180 = 4x + 90
step 2 subtract 90 from each side
180 - 90 = 90
now we have 90 = 4x
step 3 divide each side by 4
4x / 4 = x
90 / 4 = 22.5
we're left with x = 22.5
Now we want to find ∠T and ∠V
To do so we replace x in the given expressions with 22.5
for ∠V
∠V = x so ∠V = 22.5
for ∠T
∠T = 3x
* replace x with 22.5 *
3 (22.5) = 67.5
Hence ∠T = 67.5
Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $34,000 in 9 years?
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get answer
Answer:
21880
Step-by-step explanation:
ON DELTA MATH
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
What is the length of side x and y? *????????????????????????
What is the length of the diagonal of a cube with a side length of 5 cm? Round to the nearest tenth.
O 7.1
O 8.7
O 21.3
O 26.7
Answer:
8.7
Step-by-step explanation:
formula
d = sqrt(s^2 + s^2 + s^2)
d = sqrt(3*5^2)
d = sqrt(75)
d = 8.7
Where did I get the formula? If the cube sits on one of its faces then the diagonal of that face is sqrt(s^2 + s^2) = sqrt(2s^2)
Now to get the third s^2, you have to realize the the diagonal you calculated in the previous remark is one of the legs for the cube's corner to corner diagonal. The other leg is the height squared which is also s^2.
Answer:
hello love! your answer is 8.7cm :)
Step-by-step explanation:
i got it right on edge !