Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)
Answer:
(f + g)(- 2) = 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x - 3 + x² - x
= x² - 3
Thus
(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1
143cups + 1 1/3 cups
Answer: 144 1/3 cups
Step-by-step explanation: 143+1 1/3=144 and 1?3
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
3. Evaluate 7w – 52 + 9 + w) when w = 4 and z = 5
Answer:
45
Step-by-step explanation:
7 x 4 - 5 x 5 + 9 (2/3 + 4)
28 - 25 + 9 x 14/3
28 -25 + 3 x 14
28 - 25 + 42
45
Answer:
45
Step-by-step explanation:
Given
7w - 5z + 9([tex]\frac{2}{3}[/tex] + w) ← distribute parenthesis
= 7w - 5z + 6 + 9w ← collect like terms
= 16w - 5z + 6 ← substitute w = 4, z = 5 into the expression
= 16(4) - 5(5) + 6
= 64 - 25 + 6
= 45
FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
Answer:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line joining (5, 0) and (0, 300),
Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
Evaluate the given question.
Answer:
In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!
Step-by-step explanation:
Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?
Choose the equation to represent this situation.
Group of answer choices
-7a-3=18
Solve for A
Answer:
a = -3
Step-by-step explanation:
-7a-3=18
Add 3 to each side
-7a-3+3=18+3
-7a = 21
Divide each side by -7
-7a/-7 = 21/-7
a = -3
Answer:
a= -3
Step-by-step explanation:
[-7a - 3 = 18]
Add 3 to both sides
[-7a=21]
Divide both sides by -7
[a= -3]
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
Choose the correct equation for the line shown on the graph?
Answer:
Option 3
[tex]y=-\frac{1}{4} x-1[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
where m = slope, and b = y intercept
The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)
The slope is -1/4
That is because it goes up one, and right -4. That means it goes up 1 and left 4.
If k(x) = -2x2 – 7, find k(4)
Answer:
-39
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
You just plug in 4 for x. So it'd be -2(4)2-7
So, you have -8(2)-7
Then: -16-7, which gives you -23
Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
Need help please hehehehehe
Answer:
no help kid
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
I NEEP HELP PLS !!!!!!! UwU
Write an equation that has a slope of 4 and a y-intercept of (0,2)
Answer:
y=4x+2
I know this already i learned this 3 years ago
Answer:
The equation would be y=4x+2
Step-by-step explanation:
The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!
Answer:
16. H
17. C
18. G
what is the common difference between successive terms in the sequence
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Answer:
The common difference between 9, 2.5, –4, –10.5, –17, ...
Is –6.5
Step-by-step explanation:
Because,
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Help me plz!!!!!!!!!!!
Answer:
88%
Step-by-step explanation:
22/25 = .88 x 100= 88%
Answer:
88%
Step-by-step explanation:
First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.
What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?
Answer:
840
Step-by-step explanation:
840&*67---***&%%%%%:
3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to find the product of 840 and 4.6×10²
Eight hundred forty into four point six into ten to the power of two.
840× 4.6×10²
3864×10^2
Divide and multiply by 1000
3.864×10^5
Hence 3.864×10⁵ is the product of 840 and 4.6×10²
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What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
Learn more about standard form of polynomial here: https://brainly.com/question/15313798
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What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answer:
the third one
Step-by-step explanation:
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Which equation can you use to find the minimum and maximum
attendances?
Answer:
|x-65|=30
Step-by-step explanation:
You are expecting 65 people, but usually 30 people come.
This equation works best since you can find both the minimum and maximum.
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,
|x - 65| = 30
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
More about the absolute function link is given below.
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Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
Please help D: what’s the answer
Please help
8th grade pre algebra
Answer:
The 1st Graph: -4/1
2nd Graph 1/3
Step-by-step explanation: