Answers
Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
Algebra I
Composite FunctionsCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
Step 2: Find g(f(x))
Substitute: g(f(x)) = (x² + 6x + 7) + 2Combine like terms: g(f(x)) = x² + 6x + 9Related Questions
The difference between two whole numbers is 9. Twice the smaller number is 6 more than the larger. What is the smaller number?
Answers
Explanation:
27/3= 9
3x2= 6
The smaller number is 15
let
the larger number = x
the smaller number = y
Therefore,
The difference between the two whole numbers is 9 can be express as follows:
x - y = 9Twice the smaller number is 6 more than the larger. Therefore,
2y = x + 6Combine the equation.
x - y = 9
-x + 2y = 6
y = 15
x - 15 = 9
x = 9 + 15
x = 24
Therefore,
The larger number = 24
The smaller number = 15
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Tia dilated the rectangle below by a scale factor of 7/2. What is ther perimeter of the new rectangle?
A
64 inches
B
220 inches
C
2695 inches
D
224 inches
Answers
Answer:
D. 224 inches
Step-by-step explanation:
Length of the new rectangle after dilation = 22 × ⁷/2 = 77 inches
Width of the new rectangle after dilation = 10 × ⁷/2 = 35 inches
Perimeter of rectangle = 2(length + width)
= 2(77 + 35)
= 2(112)
Perimeter = 224 inches
What is the slope and y-intercept of these equations?
y=-2/3x-6
y=3x-6
Answers
Answer:
slope=-2/3 y inter= -6
slope= 3 y inter= -6
Step-by-step explanation:
f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.
Answers
Answer:
x = 2Step-by-step explanation:
These are equations of lines with different slopes, so there is only one point of their intersect.
The point of intersect is where f(x) = g(x).
2(x - 1) - 5 = - 2x + 1
+2x +2x
2x - 2 - 5 + 2x = 1
+7 +7
4x = 8
÷4 ÷4
x = 2
Answer: x = 2
Explanation:
From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!
Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.
Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.
Part A
Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50?
Answers
Answer:
25 more
Step-by-step explanation:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answers
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
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what is the value of AC
Answers
18% of the cars in the parking lot are blue. If there are 150 cars in the parking lot , how many cars are blue ?
Answers
Answer:
27 cars are blue
Step-by-step explanation:
if you have 150 cars and 18% are blue, you will have to multiply 0.18 x 150 and that equals to 27, so 27 cars are blue
9. A certain color paint should have a mix of blue and green in a ratio of 5:2.
needs to use 8 gallons of green paint, how many gallons of blue paint sho
order to obtain the right color?
Answers
Answer:
20 gallons of blue paint
Step-by-step explanation:
The ratio is blue to green right?
5:2
You already know the green
8
divide 8 by its part of the ratio.
8/2
4
Times 5 by 4
20
20 blue paints and 8 green paints.
18 55 -101 196 55 18 22 X-22 57 88
Calculate the missing data value X from the given average (arithmetic mean) of 38 and the known data values in the table.
A)
-38
B) the
-32
0
D
32
E
38
Statistics and Probability
Answers
Answer:
maybe a that's my answer
Evaluate. X/4-y^2 + 3 1/4 x= if 12 and y=3
Answers
Answer:
− 17/4 or −4.25
hope it helps
Find the slope please help!
Answers
Answer:
4.5 is the answer 9/2=4.5
Step-by-step explanation:
Which of the following is a proportional relationship? SELECT ALL THAT APPLY
A)
[tex] \frac{2}{3} = \frac{8}{12} [/tex]
B)
[tex] \frac{6}{7} = \frac{12}{13} [/tex]
C)
[tex] \frac{15}{20} = \frac{9}{12} [/tex]
D) None of the above
Answers
Answer:
a
Step-by-step explanation:
gajansvxhchcjwiqaau
CAN SOMEONE PLEASE HELP ME??!!
Answers
Answer:
Step-by-step explanation:its ratxrat
...
The zeros of the divisor,
x-3=0,x=3
f(3)=4(3)²-3-3=30
The remainder is 30
PLEASE EXPLAIN STEPS
Answers
Answer:
C. m<C = m<F
Step-by-step explanation:
this is because in their triangle names, they are in the same spot (third letter of the name)
if they are in the same spot, they have to be congruent
same goes for the other letters, <A has to be congruent to <D and <B has to be congruent to <E
the radius of a circle is 7 kilometers. What is the circle’s area?
Answers
solve k/2 - 2k + 1=7
Answers
Answer:
=
−
4
Step-by-step explanation:
2
−
2
+
1
=
7
Answer:
Ok that other answer is invalid the actual answer is = -4
Step-by-step explanation:
If you need a step by step let me know :)
Please help! I will give brainliest to the correct answer!
Answers
Answer:
Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D
Step-by-step explanation:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can identify the lines by the sign of the slope and the value of the y-intercept. Each point of interest is at the intersection of a line with positive slope and a line with negative slope. So, you can identify the pair of lines by their two different y-intercepts.
Clockwise from lower left (3rd quadrant), the pairs of y-intercepts associated with the intersection of interest are ...
2, -1 . . . . 2 is associated with positive slope2, 22, -1 . . . . 2 is associated with negative slope2, -3-1, -3If the answer choices are designated A–E, left to right, the corresponding list is (again, clockwise from lower left) ...
DCBAEHow much of a circle does a 100-degree angle turn through?
1. 1
2. 100/180
3. 50/360
4. 100/360
Answers
0.55
0.13
0.00027
PLEASE HELP! CORRECT ANSWERS ONLY!
Answers
is 9.68888888... a rational number
Answers
Answer:
rational
Step-by-step explanation:
because of the dec
anna worked 3 hours a day for seven days. she made a total of 94.50. how much did she make per hour?
Answers
Answer:
31.5
Step-by-step explanation:
just divide the numbers
1) Which pair of triangles is congruent by Side - Side - Side?
Answers
all sides are congruent, so it has side-side-side congruence :)
The pair of triangles that is congruent by Side-Side-Side rule of congruency is option 4 .
Required:
The option with a pair of triangles that congruent by Side-Side-Side SSS rule of congruency.
Solution;
The given information in option [1] are;
A pair of congruent alternate interior angles, and a pair of angles in option [1] are congruent by Angle-Side-Angle rule of congruency.Option [2]
The information given in option [2] are two angles and an adjacent side, therefore;The length of the triangles in option [2] are congruent by Angle-Angle-Side rule of congruencyOption [3]
From the given parameters, the rule of congruency for option [3] is Side-Angle-Side congruencyOption [4]
The triangles have a common side that is shared.3 tic marks and 2 tic mark indicating that the corresponding sides are congruent are placed on the other two sides.Therefore, b of one triangle are congruent to the corresponding three sides of the other triangle, indicating that triangles are congruent by Side-Side-Side rule of congruency.
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PLEASE ANSWER MY QUESTION I BEG I GIVE BRAINLIEST FAST EXTRA POINTS PLSPSLPLSPLS IMAGE INCLUDED
Answers
The y-intercept of any function is the value of the function when x = 0.
The y-intercept of f(x) is f(0) = 4(0) - 1. This is equal to -1.The y-intercept of g(x) is g(0), which we can see from the graph is 2.The y-intercept of h(x) is h(0), which is cos(0 + 2pi). This is equal to 1.Therefore, g(x) has the greatest y-intercept.
The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?
Answers
10x= 45
x= 4,5
girl= 6*4,5= 27
a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected local households from 8am to 5pm during the week and finds that 56% of them bake at least twice a week
Answers
Answer:
Step-by-step explanation:
The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.
What’s the answer to the problem Help me
Answers
Answer:
$2000 can get 250000 sheets of papers
Step-by-step explanation:
[tex]500/4=125[/tex]
[tex]125*2000=250000[/tex]
Jake has a piece of rope that is 5.5 yards long. What is the length, in inches, of Jake's rope?
O 180.5 inches
O 187.2 inches
O 186 inches
O 198 inches
Answers
Compare rational numbers
Which of the following inequalities are correct?
Choose all answers that apply:
0 >
3
7
P
Te
Report a problem
Stuck? Watch a video or use a hint.
2 of 7 -OOOOOO
Check
Answers
Answer:
[tex]0 > - \frac{3}{7} \\ - \frac{2}{7} > - \frac{3}{7} [/tex]
Step-by-step explanation:
Only the third option is wrong.
Need help for geometry.
Answers
Answer: The first.
Step-by-step explanation: If you draw out a triangle and lable the points on each point with values from each triangle, you get J=M, K=N, and L=O. The first is the only one that proves it.