Answer:
B
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=-2x^2-5x+1\text{ and } h(x)=3(x+3)^2-11[/tex]
And we want to find:
[tex]h(f(-1))[/tex]
So, find f(-1) first. Substitute -1 into f(x):
[tex]f(-1)=-2(-1)^2-5(-1)+1[/tex]
Square:
[tex]f(-1)=-2(1)-5(-1)+1[/tex]
Multiply:
[tex]f(-1)=-2+5+1[/tex]
Add:
[tex]f(-1)=4[/tex]
Now, substitute this into h(f(-1)):
[tex]h(f(-1))=h(4)[/tex]
So, substitute 4 into h(x):
[tex]h(4)=3(4+3)^2-11[/tex]
Add:
[tex]h(4)=3(7)^2-11[/tex]
Square:
[tex]h(4)=3(49)-11[/tex]
Multiply:
[tex]h(4)=147-11[/tex]
Subtract:
[tex]h(4)=136[/tex]
So, our answer is B.
And we're done!
A skater having a mass of 80 kg is skating with a velocity of 70 m/s when he hits another skater who is not moving. After colliding, the skaters start to drift together with a velocity of 40 m/s. Find the mass of the skater who was not moving.
Answer:
the mass is 75 kg
Step-by-step explanation:
80 KG
70m/s times forty=2800 divided by 80=35 +40=75
Can someone please please pleaseee helppp
Step-by-step explanation:
Hey there!!!
Here,
The point is, (-3,1).
Using one point formula.
(y-1)= m(x+3)....1st equation.
It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.
Now, the equation with y = mx + c.
We get slope (m2) = 1/3.
Now,
As per the condition of perpendicular lines,
[tex]m1 \: \times m2 = - 1[/tex]
[tex]m1 \times \frac{1}{3} = - 1[/tex]
Simplifying them we get,
m1 = -3.
Therefore the slope is -3.
Hope it helps...
What is X? Show your work
Answer:
x=-3/7
Step-by-step explanation:
multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7
please I need help with both problems .( also show work plz)
Answer:
4. x = 50
5. x = 5
Step-by-step explanation:
For question 4:
Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50For question 5:
Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5Answer:
4) x= -50
5) x= 5
Step-by-step explanation:
Number 5
Simplifying
-3x + -2 = -17
Reorder the terms:
-2 + -3x = -17
Solving
-2 + -3x = -17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2
Combine like terms: -17 + 2 = -15
-3x = -15
Divide each side by '-3'.
x = 5
Simplifying
x = 5
Number 4
x/5+7 = -3 // + 3
x/5+3+7 = 0
1/5*x+10 = 0 // - 10
1/5*x = -10 // : 1/5
x = -10/1/5
x = -50
x = -50
The ratio of toucans to macaws at the zoo was 5 to 7. If there were 60 total birds, how many were macaws?
Answer:
5+7=12
12=60
7=?
cross multiply
7×60/12
35macaws
Write 10 3/8 as a decimal
Answer:
10.375
Step-by-step explanation:
3/8ths equal 0.375 and then you have ten as the whole number therefore you add the lower number onto the whole number and then you get your answer.
please help!! first answer will get brainiest!! evaluate m*p if m= -150 and p= -15
Answer:
2,250
Step-by-step explanation:
negative times a negative equals a positive.
Answer:
-150-15= - - =+ so,-150-15=165-
Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628
Answer:
648 floors.
Step-by-step explanation:
Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !
Ally's hair grew from 10 10 \frac{3}{4} 4 3 inches to 13 13 \frac{1}{4} 4 1 inches over 5 months. At what rate did Ally's hair grow per month?
0.5 inches a month.
I believe you subtract 13 1/4 by 10 3/4 = 2 1/2.
Then you divide by 5.
Please Help!!! 30 Points!
Answer:
ABC is congruent to A' B'C'
Step-by-step explanation:
All three sides are equal on triangle ABC and they are equal to the sides on A'B'C'
All three angles are equal on triangle ABC and they are equal to the angles on A'B'C'
We know that since the sides and the angles are equal
ABC is equal to A'B'C'
ABC is congruent to A' B'C'
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'
Answer:
I think that it would be -40
Step-by-step explanation:
I think this because they had to go back 40 spaces because 8 x 5 = 40.
The required number is 40 which represents that player's movements for those 5 turns.
Given that,
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that player's movements for those 5 turns.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,
Total spaces back = 5 * 8
= 40
Thus, the required number is 40 which represents that player's movements for those 5 turns.
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What ratios are equivalent to 7:3|. 12:9, 14:6, 11:7, 4:2,| PLZ HELP
Answer:
14:6 is the same as 7:3
Step-by-step explanation:
both variables seven and three are multiplied by the same number (2) just like with division if you do the same thing to both sides it's still equal
Answer:
14:6
Step-by-step explanation:
When 2 is divided by the two numbers, 14 and 6, it will be 7:3.
Abraham purchased a living room set for $3,742 using an 18-month deferred payment plan with an interest rate of 18.79%. What is the balance after the deferment period if no payments are made?
a.) $4,844.77
b.) $4,949.50
c.) $3,742.00
d.) $4,445.12
What is 1.8b + 4.5b?
The Moon is 4,530,000,000 years in scientific notation
Answer:
4.53 * 10⁹
Step-by-step explanation:
4530000000 = 4.53 * 10⁹
Solve for x: x / 24= 3/8 (the / means its a fraction)
Answer:
[tex]x=9[/tex]
Step-by-step explanation:
[tex]\frac{x}{24}=\frac{3}{8}[/tex]
Multiply both sides by 24:
[tex]\frac{24x}{24}=\frac{3\times24}{8}[/tex]
[tex]x=\frac{72}{8}[/tex]
[tex]x=9[/tex]
(PLZ ANSWER ASAP) Which is an estimate of √41?
In the decimal form, 6.4
Answer:
6.4 in decimal form
Step-by-step explanation:
6.4 ×6.4 is nearly 41
Can anyone help me?
Joseph Cheyenne is earning an annual salary of $24,895. He has been offered the job in the ad. How much more would he earn per month if he is paid:
a. the minimum?
b. the maximum?
The correct option will be the option b i.e., the maximum.
It is given that Joseph is earning an annual salary of $24,895. Later he is offered with an ad.
We have to choose the correct option i.e., the minimum or the maximum he would earn per month if he is paid.
What would be the value if x is added to 40 ?
The value will be 40 + x.
Let's assume Joseph is paid $ x for the ad.
Annual salary of Joseph $24,895.
The salary which he will get after the ad offer will be ;
= 24895 + x
So , the annual salary get's increased after the addition of salary of ad offer.
Thus , the maximum Joseph would earn per month and the correct option is option b.
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Rearrange the variables to write the equation, LaTeX: V=\frac{8T}{P}
V
=
8
T
P
, to solve for temperature, T, as a function of volume and pressure, V and P. Write out your work on paper and submit a picture.
Answer:
T = VP/8Step-by-step explanation:
Given formula
V = 8T/PSolving for T
V = 8T/P ⇒ multiply both sides by TVP= 8T ⇒ divide both sides by 8VP/8 = TT = VP/8 ⇒ answerMarisol earns overtime pay when she works more than 9 hours in a day. So far, she has worked 4 hours today. Write, and solve an inequality to show the values of x that will allow Marisol to earn overtime this shift.
PLSS HELP ASAPPP URGENT GOOD AND REAL ANSWERS ONLY
find hundred 2 raise to 3 using suitable identity
Answer:
102^3 = (100+2)^3
= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*
{2^2})
= 1000000+8+60000+1200
= 1061208
Big D decided to lose a few pounds and began
training for a triathlon. At first, he began
walking and eating a cheeseburger but soon
realized that wouldn't work too well. Months
went by and he built up his endurance so that
over the course of one particular week, he ran
seven times as much as he swam and biked
three times as far as he ran. At the end of the
week he realized he went a total of 232 miles!
How many miles did Big D train for each for the
week?
Answer:
NO
Step-by-step explanation:
The product (x + 3y)(3x – y) =
Answer: 3x²-3y²+8xy
Step-by-step explanation:
When you multiply two factors, you want to use the FOIL method.
First
Outer
Inner
Last
(x+3y)(3x-y) [distribute by FOIL]
3x²-xy+9xy-3y² [combine like terms]
3x²+8xy-3y² [rewrite]
3x²-3y²+8xy
Now, we know the product is 3x²-3y²+8xy.
I WILL MARK YOU BRAINLIEST JUST HURRY PLZ
Answer:
(-4 ,3)
Step-by-step explanation:
Point a lies on -4
Point B lies in between 2 and 4 so lets call it 3
Answer:
ITS BBBBB
Step-by-step
hope this heLPS
What is the missing statement and the missing reason in step 5? A 2-column table with 7 rows. Column 1 is labeled statements with the entries measure of angle A D E = 60 degrees and measure of angle C D F = (3 x + 15) degrees, angle A D E and angle C D F are vertical angles, angle A D E is-congruent-to angle C D F, measure of angle A D E = measure of angle C D F, question mark, 45 = 3 x, and, 15 = x. Column 2 is labeled reasons with the entries given, definition of vertical angles, vertical angles congruent, definition of congruency, question mark, subtractive property, division property. Statement: 60 = 3x + 15; Reason: substitution Statement: x = 15; Reason: subtraction property of equality Statement: 60 = 3x + 15; Reason: transitive property Statement: x = 15; Reason: subtraction and division properties of equality
Answer:
Statement: 60 = 3x + 15; Reason: substitution
(aka A)
Step-by-step explanation:
The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
Here,
We have to find the missing statement and missing reason.
What is Substitution method?
Substitution method is algebraic method to solve the linear equations .
Now,
Column 1 and column 2 are labeled here as;
Angle A D E = 60 degrees ( entries given)
Angle C D F = (3 x + 15) degrees
Angle A D E and Angle C D F are vertical angles. (definition of vertical angles)
Angle A D E is-congruent-to Angle C D F. ( definition of congruency)
Measure of angle A D E = Measure of angle C D F.
⇒ 60 = 3x + 15 ( substitution )
⇒ 45 = 3 x ( subtractive property )
⇒ 15 = x ( division property )
Hence, The missing statement and the missing reason in step 5 is;
Statement: 60 = 3x + 15; Reason: substitution
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hey mm, i’m lost idk what to do •__•
please help me?????/!!!!!!!!
Help please! I will give brainliest!!
What is the area of a square in terms of x & y, if one side is 2x-y?
Answer: (2x-y)^2
Step-by-step explanation:
The area of a square is given by the formula A = s^2.
We know that the length of one side is s = 2x-y. We can substitute this into our area equation:
A = (2x-y)^2
If you need to multiply out the answer:
A = (2x-y)(2x-y)
A = 4x^2-4xy+y^2
The area of the football field is 57,600 square feet. If the width of the field is 4/9 the length,what is the length of the football field ?
Answer:
360 feet.
Step-by-step explanation:
Let x = length, then the width is 4x/9 feet.
So we have the equation:
x * 4x/9 = 57600
4x^2 / 9 = 57600
4x^2 = 57600 * 9
x^2 = 57600 * 9 / 4
x = √57600 * 3 / 2
x = 240* 3/2
x = 360 feet.