if h(x) = [tex]x^{2} -5x+7[/tex] so the value of [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex].
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that result in equality is the first step in solving an equation with variables. The variables that must be included in the equation are also known as the unknown.
we have h(x) = [tex]x^{2} -5x+7[/tex]
So, substitute the value [tex]x=-8[/tex] in the equation,
h([tex]-8[/tex]) = [tex](-8)^{2} -5(-8)+7[/tex]
= [tex]64+40+7[/tex]
= [tex]111[/tex]
And now we shall multiply it with [tex]\frac{1}{3}[/tex],
we get, [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex]
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A manufacturing company produces 355 units per day currently. The company's goal is to increase the number of units manufactured per day by 35 each year. If the company meets the goal how many units will it be producing per day 4 years from now?
James ran 80 miles, xavier ran 0.75 of the total number that james ran. How many miles did Xavier run?
Answer:
60 miles
Step-by-step explanation:
Jerome’s parents want to make sure he keeps reading for the summer. So they made deal, for every 7 minutes of reading he earns one minute of game time. How many minutes of video game time will he earn if he reads for 147 minutes?
Answer:
21 minutes of game time.
Step-by-step explanation:
Since its every 7 minutes he reads he gets one minute of game time and reads fir 147 minutes you would divide 147 by 7 to get 21 minutes of game time. hope this helped :)
In quadrilateral ABCD shown below it is known that BC is perpendicular CD, angle A=5x+12, and angle C=7x-36. Given this information, which of the following is the degree measure of angle A?
Answer:
m∠A = 102°
Step-by-step explanation:
In quadrilateral ABCD, BC is perpendicular to CD
m∠BCD = 90°
(7x - 36) = 90°
7x = 90 + 36
7x = 126
x = 18
Since, m∠A = (5x + 12)
Therefore, m∠A = (5×18) + 12
= 90 + 12
= 102°
Measure of angle A = 102°
³√3²×5²×2³√3×5 help me plz
Answer:
750
3000 6^√3= 3602.8109
Step-by-step explanation:
i cant tell for the middle part if its
2. ³√3 or 2³. √3
so the first answer is for the first one and the second is for the second one
answerrr pleaseeeeeeeeeeeee
Translate the quadrilateral W(-2, 2), X(-3, 3), Y(-6, 5), Z(-6, 3) using the transformation
(x-2, y + 3)
Answer: W (-4, 5) X(-5, 6) Y (-8, 8) Z (-8, 6)
Given the parent function f(x)=x^2 in red, write the equation for the transformed function g(x) in green.
Answer:
g(x) = 2x² + 1
Step-by-step explanation:
The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.
Your full equation would look like this: g(x) = 2x² + 1
Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.
3(x - 2) - 2x + 3 = -12
Sorry I have another question lol
Answer:
Solve for
x by simplifying both sides of the equation, then isolating the variable.
x = − 9
Answer:
x+9
Step-by-step explanation:
Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age they think they will become financially independent. The responses of 944 teenagers who answered this survey question as follows:
Age Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Consider the experiment of randomly selecting a teenager from the population of teenagers aged to 14 to 18.
Required:
a. Compute the probability of being financially independent for each of the four age categories.
b. What is the probability of being financially independent before the age of 25?
c. What is the probability of being financially independent after the age of 24?
Answer:
(a) Shown below
(b) 0.68
(c) 0.32
Step-by-step explanation:
The frequency distribution is:
Age Group Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Total 944
(a)
Compute the probability of being financially independent for each of the four age categories as follows:
[tex]P(\text{16 to 20})=\frac{151}{944}=0.159958\approx 0.16\\\\P(\text{21 to 24})=\frac{487}{944}=0.515890\approx 0.52\\\\P(\text{25 to 27})=\frac{244}{944}=0.258475\approx 0.26\\\\P(\text{28 or older})=\frac{62}{944}=0.065678\approx 0.06[/tex]
(b)
Compute the probability of being financially independent before the age of 25 as follows:
P (Financially Independent before 25) = P (16 to 20) + P (21 to 24)
= 0.16 + 0.52
= 0.68
Thus, the probability of being financially independent before the age of 25 is 0.68
(c)
Compute the probability of being financially independent after the age of 24 as follows:
P (Financially Independent after 24) = P (25 to 27) + P (28 or older)
= 0.26 + 0.06
= 0.32
Thus, the probability of being financially independent after the age of 24 is 0.32.
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8 and children are seated at tables of exactly 18. What is the minimum number of children attending?
Answer:
LCD=72, but technically 0 because who said any kids were attending
Step-by-step explanation:
You are finding the Least common denominator I assume,
So, keep multiplying 18 by a number until you can find 8 multipled by a different number that matches the answer
18*4=72
8*9=72, hurray you done did it
The minimum number of children attending the dinner party will be 72.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8, and children are seated at tables of exactly 18.
Let 'x' and 'y' be the number of tables for adults and children. Then we have
8x = 18y
x / y = 18 / 8
x / y = 9 / 4
The minimum number of children attending the dinner party will be given as,
⇒ 4 x 18
⇒ 72
The minimum number of children attending the dinner party will be 72.
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x - 2y = 10
3x - 5y = 4
Answer:
y = -26
x = -42
Step-by-step explanation:
3x - 5y = 4
x - 2y = 10
x - 2y = 10
x = 2y + 10
3x - 5y = 4
3(2y + 10) - 5y = 4
6y + 30 - 5y = 4
y + 30 = 4
y = -26
x - 2y = 10
x - 2(-26) = 10
x + 52 = 10
x = -42
Check:
x - 2y = 10
(-42) - 2(-26) = 10
-42 + 52 = 10
10 = 10
Which number is the coefficient in the following equation
300x + 45 = 760
Answer:
300
Step-by-step explanation:
The number that is the coefficient in the equation 300x + 45 = 760 is 300
How to determine the coefficient?The equation is given as:
300x + 45 = 760
Consider the following expression:
bx + a
b in bx represents the coefficient, x represents the variable, and a represents a term
Using the above as a guide in 300x + 45 = 760;
The coefficient in the equation 300x + 45 = 760 is 300
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What is the least common denominator for 1/2 & 2/3 ?
Answer: 6
Step-by-step explanation:
1/2 = 3/6
2/3 = 4/6
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
2.333333333
Step-by-step explanation:
divide 3 into 7 and it's is repeating
Answer:
Step-by-step explanation:
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answer:
$76.80
Step-by-step explanation:
120/80 equals how many times the next route is larger than the first one. Which is 1.5 times larger.
Take the first earning of 51.20 and multiply by 1.5 to get 76.80
120/80=1.5
51.20*1.5=76.8
On the next route the truck driver earns $76.80.
Answer:
The truck driver will be making $76.80 on his next route.
Step-by-step explanation:
First, you calculate the amount of money he makes per mile by dividing $51.20 by 80 miles. Then you take that pay rate, and multiply by 120 miles.
01:37:35
What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10
Answer:
35
Step-by-step explanation:
47-12=35
Which multiplication equation could represent the area model?
5.03×2.02=10.165 point 0 3 times 2 point 0 2 is equal to 10 point 1 6
3.05×2.02=6.163 point 0 5 times 2 point 0 2 is equal to 6 point 1 6
2.2×5.3=11.662 point 2 times 5 point 3 is equal to 11 point 6 6
2.2×3.5=7.72 point 2 times 3 point 5 is equal to 7 point 7
Answer: y
Step-by-step explanation:
Write a ratio for the following situation: For every 5 female teachers, there are 2 male teachers
Answer:
the answer would be 5:2
Write an equation for the line that goes through the point (7,1) and has a slope of -1
Answer: y = -x + 8
Step-by-step explanation:
Use the slope given and Substitute the y and x-values from the given coordinate into the equation and solve for b
y = mx + b
1 = -1(7) + b
1 = -7 + b
8 = b
Rewrite the equation without the y and x values, substitute the value of b
y = -x + 8
(1 disappears, as 1 is implied in multiplication but keep the negative sign)
Casey buys a bracelet. She pays for the bracelet and pays $0.72 sales tax. The sales tax rate is 6%, percent.
What is the original price of the bracelet, before tax?
Answer:
12$
Step-by-step explanation: 100/6 then multiply it by .72=12$
Answer
$12
Step-by-step explanation:
theres a picture on how I did it that I linked.
convert a repeating decimal to a fraction
Answer:
Step-by-step explanation:
Convert a Repeating Decimal to a Fraction
Create an equation such that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
Subtract the second equation from the first equation.
Solve for x.
Reduce the fraction.
Answer:
2/3 = 0.66 repeated
Step-by-step explanation:
The Indian Ocean covers 2.808 x 10^7 square miles. Colorado covers 1.04 x 10^5 square miles. How many times bigger than Colorado is the Indian Ocean?
Approximately 2.7 times bigger
Approximately 27 times bigger
Approximately 270 times bigger
Approximately 27000 bigger
Answer:
Approximately 27 times bigger
Step-by-step explanation:
wat is the answer to [x l 2 < x < 2]
Answer: the empty set
Step-by-step explanation:
There are no real numbers x such that x>2 and x<2, simultaneously.
Answer:
x= -0.7667
Step-by-step explanation:
8^x = 2
What is X
Thank you :))))
Answer:
1/3
Step-by-step explanation:
What is the length of segment LM?
thank you :)
Answer:
length of segment LM is 23.
Xavier exercises by riding his bike. During his first week of training, he rides a total of 15 miles. Each week he increases the number of miles biked by 0.4 miles. How many total weeks will it take Xavier to first bike more than 500 miles total? 8 15 19 26
Answer:
I believe the answer is D) 26.
Step-by-step explanation:
Xavier will need 26 weeks to first bike more than 500 miles.
Arithmetic ProgressionAn arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the successive terms is the same.
Sum of n terms of an arithmetic progressionThe distance biked by Xavier during his first week of training is 15 miles.
The increase in the distance biked each week is 0.4 miles.
And we have to find the number of weeks required to first bike more than 500 miles total.
The given situation represents an arithmetic progression (AP) in which,
First term, a = 15
The common difference, d = 0.4
And the sum of n terms, Sn = 500
The formula to find the sum of n terms of an AP is,
[tex]\text{S}_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
How to check which option is correct?We will check which option is correct by putting them in the above equation.
For n = 8, we have
[tex]\text{S}_n = \dfrac{8}{2}[2\times15+(8-1)0.4][/tex]
Sn = 4[30+2.8]
Sn = 131.2
Which is not more than 500, so option (A) is incorrect.
For n = 15, we have
[tex]\text{S}_n = \dfrac{15}{2}[2\times15+(15-1)0.4][/tex]
Sn = 7.5[30+5.6]
Sn = 267
Which is not more than 500, so option (B) is incorrect.
For n = 19, we have
[tex]\text{S}_n = \dfrac{19}{2}[2\times15+(19-1)0.4][/tex]
Sn = 9.5[30+7.2]
Sn = 353.4
Which is not more than 500, so option (C) is incorrect.
For n = 26, we have
[tex]\text{S}_n = \dfrac{26}{2}[2\times15+(26-1)0.4][/tex]
Sn = 13[30+10]
Sn = 520
Which is more than 500, so option (D) is the correct answer.
Hence, Xavier would bike more than 500 miles in 26 weeks.
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Please help!!
If KL NM and KN ≈ KM, find NM and mMKN.
A. NM = 6; mK=70°
B. NM = 9; mK=35°
C. NM = 12; mK=55
D. NM = 12; mK=70
Answer:
It's D. NM = 12; mK=70
Step-by-step explanation:
i just did it on edge but this for people who need it now. bc it's been a year 4 u.
Anyone know the question?
Helpp !
Answer:
[tex]-\frac{1}{2}[/tex] is the slope value.
Step-by-step explanation:
By using the definition of slope (Δy/Δx), we can reason that the slope is:
[tex]\frac{-1}{2} = -0.5[/tex]
please look at the picture below
Answer:
A
Step-by-step explanation:
domain is the input and range is the output