Answer:
4
Step-by-step explanation:
[tex]h(x)=x-7 \\\\g(x)=x^2 \\\\(g\circ h)(5)= (5-7)^2=(-2)^2=4[/tex]
Hope this helps!
Using composite functions, it is found that the equivalent expression at x = 5 is given by:
[tex](g \circ h)(5) = 4[/tex]
What is a composite function?A composite function is when a function is used as an input to another function, hence, that is:
[tex](g \circ h)(x) = g(h(x))[/tex].
In this problem, we have that the functions are given as follows:
h(x) = x - 7.g(x) = x².Then, the composite function is given by:
[tex](g \circ h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2[/tex].
We want to find the value of the composite function at x = 5, hence we have that:
(5 - 7)² = 4.
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At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?
Answer:
The maximum number of ride tickets is 4
Step-by-step explanation:
r = number of ride tickets
f = number of food tickets
r + f ≥ 16
4r + 2f ≤ 40
Using these as equations
f = 16 -r
Using this in the second equation
4r+ 2 (16 -r) = 40
4r +32 -2r = 40
2r +32 = 40
2r = 8
r = 4
The maximum number of ride tickets is 4
Answer:
a) 4
Step-by-step explanation:
edgen2020
I do not understand this math.
How are the equations of a parabola, ellipse, and hyperbola created?
Answer:
ellipses and hyperbolas as a simple form has the x-axis as principal axis and the origin (0,0) as center. If it's a circle, c = 0 so a2 = b2. And for the parabola, the standard form has the focus on the x-axis at the point (a, 0) and the directrix the line with equation x = −a.
(I'm sorry I got most of this from google) :(
The names of 5 boys and 5 girls are in a hat. What is the probability of first drawing a girl’s name and then a boy’s name from the hat?
Answer:
9/20
Step-by-step explanation:
The probability of drawing a girl's name is 0.5, since there are 5 girls in 10 kids here. If that girl's name is not replaced, then the probability of drawing a boy's name is 5/9, since there are still such names but the total number of names is now 9.
Thus, the probability of this joint event is (0.5)(9/10) = 4.5/10 = 9/20
Answer:
so drawing a girls name from the hat would be 5/10 since 5 girls are there out of 10 students in total. After, you pick the girls name the total number of student names would become 9 and since there are 5 guys, you get a 5/9 probability
The day after her birthday party 1/3 of Emma’s birthday cake is left is the remaining cake is shared equally among Emma her brother Owen and their mother and father what fraction of the original Kikoo each of them get
Answer:1/4
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1/3 ÷ 4
1/3 x 1/4 = 1/12
Four different positive integers have a product of 110.
What is the sum of the four integers?
Answer:32.09
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
To Find Out What are the four Positive Integers, Let's Prime Factorize 110:
110 = 1 × 2 × 5× 11
This means these are the four positive integers by multiplying which results in 110.
Now, The sum of these integers:
=> 1+2+5+11
=> 19
What is the decimal multiplier to increase by 99%?
Answer:To work out the multiplier, first add or subtract the percentage from 100, then convert to a decimal. Example: we want to add 20% to £110. To work out the multiplier, add 20 to 100, to get 120, and then change it to a decimal (divide by 100) to get 1.2.
Step-by-step explanation:
The decimal multiplier of a number to increase by 99% will be 1.99.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's consider the number x.
To increase it by 20% we need to find 20% of it so 0.20x
Now, add this 20% to x so that it will increase by 20% as,
0.20x + x = 1.20x
Thus,to increase the number by 20% we need to multiply 1.20
Similarly to increase a number by 99% we need to multiply with 1.99.
Hence "The decimal multiplier of a number to increase by 99% will be 1.99".
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Which expression is equivalent to -36 – 8?
Choose 1 answer:
A.36 + 8
B.-36 + (-8)
C.8 – 36
D.-8+36
Answer:B
Step-by-step explanation:
-36 – 8=-44
36+8=44
-36 + (-8)=-44
8 – 36=-28
-8+36=28
As you can see only B equals -44 just like the expression given,
Hope my explanation helps
What is the radius of the circle if it has a circumference of 153.86153.86153, point, 86 units.
Answer:
24.49 units
Step-by-step explanation:
The circumference of the circle is 153.86 units.
The circumference of a circle is given as:
C = 2 * pi * r
where r = radius of the circle
Therefore:
r = C / (2 * pi)
=> r = 153.86 / (2* pi) = 24.49 units
The radius of the circle is 24.49 units.
Answer:
24.49
Step-by-step explanation:
please trust me and make me brainliest :0
Simplify:
5x^3 + 4x^3
Answer:
9x^3
Step-by-step explanation:
5x^3 + 4x^3
Since these are like terms
x^3 (5+4)
9x^3
Answer:
[tex]9x^3[/tex]
Step-by-step explanation:
[tex]5x^3 + 4x^3[/tex]
Add the like terms.
[tex]=9x^3[/tex]
Suck at maths! HELP!
Answer:
Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.
-7/10+7/15+1/-20+-9/10+11/15+11/-20
what is the answer please help me .....!!!!
Answer:
-1
Step-by-step explanation:
-7/10+7/15+1/-20+-9/10+11/15+11/-20
= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20
= -16/10 + 18/15 + 12/-20
= -8/5 + 6/5 + -3/5
= (-8+6-3)/5
= -5/5
= -1
Help pls! I ended up getting the wrong answer, so an explanation would help! (:
Answer:
4p squared - 28pqStep-by-step explanation:
4p(p−7q)
=(4p)(p+−7q)
=(4p)(p)+(4p)(−7q)
=4p squared −28pq
Multiply.
11 x 2 =
Submit
Is it 22
Answer:
yes
Step-by-step explanation:
Answer:
Yes...yes it is.
Step-by-step explanation:
Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.
If g(x)=2x-1 and h(x)= swuare root x, find (g o h) (9)
Answer:
5
Step-by-step explanation:
To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)
h(9) = [tex]\sqrt{9}[/tex] = 3, then
g(3) = 2(3) - 1 = 6 - 1 = 5
could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
Can someone plz help me solve this problem I need help plz someone help me!
Answer: 25 < P < 36
15/4 < w < 26/4
35/4 < L < 46/4
Step-by-step explanation:
Perimeter is BETWEEN 25 and 36
25 < P < 36
Graph: O--------------O
25 36
Perimeter = 2L + 2w ; substitute L = w + 5
25 < 2(w + 5) + 2w < 36
25 < 2w + 10 + 2w < 36
25 < 4w + 10 < 36
15 < 4w < 26
[tex]\dfrac{15}{4}[/tex] < w < [tex]\dfrac{26}{4}[/tex]
[tex]3\dfrac{3}{4}[/tex] < w < [tex]6\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]3\dfrac{3}{4}[/tex] [tex]6\dfrac{1}{2}[/tex]
Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5
25 < 2L + 2(L - 5) < 36
25 < 2L + 2L - 10 < 36
25 < 4L - 10 < 36
35 < 4L < 46
[tex]\dfrac{35}{4}[/tex] < L < [tex]\dfrac{46}{4}[/tex]
[tex]8\dfrac{3}{4}[/tex] < L < [tex]11\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]8\dfrac{3}{4}[/tex] [tex]11\dfrac{1}{2}[/tex]
Note: Make sure you use OPEN dots when graphing.
which expression is equivalent to: -9x^-1y^-9/-15x^5y^-3
Answer:
3 / 5x^6y^6
Step-by-step explanation:
= -9x^-1y^-9/-15x^5y^-3
= -9y-9 / -15x^6y^-3
= -9 / -15x^6y^6
= 3 / 5x^6y^6
Answer:
b on edge
Step-by-step explanation:
Please help with this question thank you!
What is the measure of ∠R?
Answer:
∠ R ≈ 36.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos R = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus
∠ R = [tex]cos^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. place )
How many inches are in a square foot?
Answer:
144 inches.
Step-by-step explanation:
One foot = 12 inches
One square foot = 144 inches.
Answer:
144
Step-by-step explanation:
Foot=12 inch
Square foot= foot times foot
Square foot= 12 inch times 12 inch
Square foot= 144 square inch.
Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]
Answer: [tex]\frac{5x-29}{6}[/tex]
Step-by-step explanation:
To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.
[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]
Now that the fractions have the same denominator, we can distribute the numerator and subtract.
[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]
Find the area of the shaded region. Can I have the steps explained please?
Answer:
76.3 cm²
Step-by-step explanation:
step 1
area of circle= πr²= 3.14*5²= 78.6 cm²step 2
area of 60° sector= 60/360*area of circle= 1/6*78.6= 13.1 cm²step 3
Area of equilateral triangle = √3/4a²= √3/4*5²= 10.83 cm²step 4
Area of circle - area of sector + area of triangle= 78.6 - 13.1 + 10.8= 76.3 cm²Which value of x would make TV lI Q5?
3
8
10
11
Answer:
3
Step-by-step explanation:
because the TV is the wrong answer and
cos (x/2) = -sqrt2/2 in (0,360) looking for two values ?? Can someone please help me I can’t seem to figure out how to solve this problem, I’m looking at other examples but I’m still confused please help
Answer:
135° and 225°
Step-by-step explanation:
basically you want to find the value of x between 0 and 360 in this equation
cos x/2 = -(√2)/2
assume x/2 as n, so
cos n = -(√2)/2
n = 45°
then remember the quadrant system
0-90 1st quadrant, all is POSITIVE
90-180 2nd quadrant, only SIN has positive value
180 - 270 3rd quadrant, only TAN has positive value
270 -360 4th quadrant, only COS positive here.
so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)
so the value of x is
180 - 45 = 135° (2nd quadrant) and
180 + 45° = 225° (3rd quadrant)
Please help ASAP! Correct answer only! I need to finish this assignment today.
There are 9 college students running for student government class president. The candidates include 5 biology majors.
If 5 of the candidates are randomly chosen to give the first 5 speeches, what is the probability that exactly 3 of the chosen candidates are biology majors?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.4762
Step-by-step explanation:
There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...
60/126 ≈ 0.4762
__
nCk = n!/(k!(n-k)!)
I need help .... can y’all help me
6. C.
7. B.
8. B.
9. B.
10. C
factorise 32 x cube minus 8 y square
Answer: [tex]8(4x^3-y^2)[/tex]
Step-by-step explanation:
[tex]32x^3-8y^2[/tex]
[tex]8(4x^3-y^2)[/tex]
Mary is paid 7.5% commission on all of her sales. She had sales of $2300 for the month of December. How much commission did Mary make?
Answer: $172.50
Step-by-step explanation:
$2300 x 0.075 = $172.50
You can double check quickly because you know 10% of 2300 is $230, so 5% is $115. The answer is halfway between the 5% and 10% numbers, so you know it is reasonable.
Solve for x
x/5 + 1 = 7
Steps:
Step 1: Simplify both sides of the equation.
1 /5x+1=7
Step 2: Subtract 1 from both sides.
1/5x+1−1=7−1
1/5x=6
Step 3: Multiply both sides by 5.
5*(1/5x)=(5)*(6)
Description:
Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.
Answer: x=30
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Hope this helps.
The value of x from the given equation is 30.
The given equation is x/5 +1=7.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, x/5 +1=7
Transpose 1 to other side of the equation, we get
x/5 =7-1
x/5 = 6
Transpose 5 to other side of the equation, we get
x = 6×5
x = 30
Therefore, the value of x from the given equation is 30.
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