Step-by-step explanation:
f(x) = 9 - 2|x + 2|
When x = 7, f(-7) = 9 - 2|(-7) + 2|
= 9 - 2|(-5)|
= 9 - 2(5)
= 9 - 10
= -1.
9514 1404 393
Answer:
-1
Step-by-step explanation:
Put -7 where x is and do the arithmetic.
f(-7) = 9 -2|-7+2|
= 9 -2|-5| = 9 -2·5 = 9 -10
f(-7) = -1
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3
Answer:
[tex]m = -\frac{3}{2}[/tex]
Step-by-step explanation:
Given
x 2 4 6 8
y 1 -2 -5 -8
Required
Determine the slope
First, pick any two corresponding x and y values.
[tex](x_1,y_1) =(2,1)[/tex]
[tex](x_2,y_2) =(8,-8)\\[/tex]
The slope (m) is then calculated using:
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Substitute in, the x and y values
[tex]m = \frac{1 - (-8)}{2- 8}[/tex]
[tex]m = \frac{1 +8}{-6}[/tex]
[tex]m = \frac{9}{-6}[/tex]
[tex]m = -\frac{9}{6}[/tex]
Divide numerator and denominator by 3
[tex]m = -\frac{9/3}{6/3}[/tex]
[tex]m = -\frac{3}{2}[/tex]
Hence, the slope is -3/2
Answer:
Is -3/2.
Step-by-step explanation:
I just took the test!
HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]
Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxIf a relation has more numbers in its range than in its domain, what has to be true?
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.
Answer:
60 cups
Step-by-step explanation:
Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.
From the above question:
1 gallon of juice = 16 cups
Then:
4 gallons of juice = c
Cross Multiply
1 × c = 4 × 16 cups
c = 64 cups of juice
Hence, 4 gallons of juice = 64 cups of juice
We are told that :
After the party, 4 cups of juice were left over.
The cups of juice people drank at the party is calculated as:
Total cups of juice - Number of cups of juice left over.
64 cups of juice - 4 cups of juice
= 60 cups of juice
If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n
Answer:
C. 15²π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Diameter: d = 2rArea of a Circle: A = πr²Step-by-step explanation:
Step 1: Define
d = 30 m
Step 2: Find Area
Substitute [D]: 30 m = 2rIsolate r: 15 m = rRewrite: r = 15 mSubstitute [AC]: A = π(15 m)²Rearrange: A = 15²πhelpp meee pleaseeee
Answer:
I think its b:/ srry if I'm wrong
Simplify 7 + (−3). (1 point)
Question 5 options:
Answer:
4
Step-by-step explanation:
7+ (-3)= 4 lol not sure if thats what you wanted but thats what i understood from your question
Simplify
2x( x^3-3x^2+5x-8)
Answer: =2x^4−6x^3+10x^2−16x
Step-by-step explanation:
What is 1.33 x 10^6 in scientific notation?
Help please:):):):):):)
do eat popcorn in a tub
:)
poopy face
Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.
Account A will pay 5.5% simple interest until the account is closed.
Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.
If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.
Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase's house? What is Chase's likely error?
Answer:
1/10
Step-by-step explanation:
A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.
The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).
Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10
Hence the coordinate of chase house is 1/10(one tenths).
The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get 3 and one tenth.
Are 5 and 0.5 Equal to Each other?
Answer:
no
Step-by-step explanation:
5 is a whole number 0.5 doesn't equal to 1 it is half of 1
What can you do if your struggling in Volume in Math?
Answer:
Study Harder
Step-by-step explanation:
Which line has a slope of 1/2 and passed through (2,-4)
A demon possessed woody and turned him into a monster!
He now hunts children aged 7-16 because he likes his meals chewy.
His head turns 360 degrees to spot prey.
If you look at the picture he will rise out of your sheets and put snakes in your shoes.
And he's right behind you.
Answer:
Ë
Step-by-step explanation:
Im literally going to poop my pants that is SO scawwwy. I deserve compensation for this. My lawyers are coming after you
Answer:
i looked behind me and yes i did see a monster, my brother
Step-by-step explanation:
What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5
Answer:
3 is the correct answer
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8*x-6-(12+2*x)>0
6x - 18 = 6 • (x - 3)
The value of the inequality is x > 3 , which is 5
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
8x - 6 > 12 + 2x
Subtracting 2x on both sides , we get
6x - 6 > 12
Adding 6 on both sides , we get
6x > 18
Divide by 3 on both sides , we get
x > 3
So , the value of x is numbers greater than 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ7
Help me and I’ll give brainliest to u
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!
what is an equation for the line that passes through the points (-2,3), and (2,1)
Answer:
yes
Step-by-step explanation:
no
please help me this is turned in a couoke of minutes!!!!!!!!!!
Answer:
mince is the answer
Easy question? Please help I’ll give brainliest! :( Please provide small explanation like instructions it’s okay if not though
Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe
Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.
If the 3 cans cost 0.78 how much will 2 cans cost
Answer:
.52
Step-by-step explanation:
math ting
Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers. y =
Answer:
Step-by-step explanation:
given: (2,1) & (5-8)
first find the slope,
m= (Y2-Y1) / (X2-X1)
m=(-8-1)/(5-2)
m=(-9)/(3)
m=-3
we have y=-3x+b
use any point to sub in x and y
1=-3(2)+b
1+6=b
b=7 therefore, y=-3x+7 is the equation
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ), then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
7 × (-5) is equivalent to?
2
-35
35
-12
Answer:-35
Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35
Answer:
-35
Step-by-step explanation:
whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.
in this case 7 is positive and 5 is negative so your anwers is -35
hope i helped!
:)
which is not a justification for the proof
a. pieces of right triangles similarity theorem
b. side side side similarity theorem
c. substitution
d. addition property of equality
Answer: B.Side side side similarity theorem
Step-by-step explanation:
Hope this helps <3
^^^^ B.Side side side similarity theorem is correct
i just took the test and it was right!
HELP PLEASE REEEEEEEEEEEE!! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
72 is what percent of 480? Write and solve an equation to solve the problem.
Answer:
Step-by-step explanation:
480 = 100%
72 = ? you can find it doing (72(100))/480
72(100)= 7200
7200/480= 15
the answer is 15%
have a nice day :)
Neglecting air resistance, the distance s(t) in feet traveled by a freely falling object is given by the function s(t) = 16+, where t is time in seconds. The height of a certain tower is 1092 feet. How long would it
take an object to fall to the ground from the top of the building?
seconds
(Round to two decimal places as needed.)
Answer:
I don't really know it but good luck!
How much change from a $50 bill would you receive if you bought
items costing $13.95, $6.08, and $24.35?
Answer:
$5.62
Step-by-step explanation:
Add all of the cost of the items and then deduct that answer from 50.
Answer:
$5.62
Step-by-step explanation:
50−(13.95+6.08+24.35)
=50−(20.03+24.35)
=50−44.38
=5.62
what is the slope of the graph
Answer:
- 5/3
Step-by-step explanation:
Line is passing through the points (0, 2) & (3, - 3)
Slope of the graph = (- 3 - 2)/(3 - 0) = - 5/3