Answer:
h(x + 2) = x² + 2x
Step-by-step explanation:
The base function is :
⇒ h(t) = t² -- 2t
⇒ h(t) = t (t - 2)
Substitute x + 2 in place of t :
⇒ h(x + 2) = (x + 2) (x + 2 - 2)
⇒ h(x + 2) = (x + 2)(x)
⇒ h(x + 2) = x² + 2x
[tex]h(t) = t^2 -2t\\\\h(x+2) = (x+2)^2 - 2(x+2)\\\\~~~~~~~~~~~~=x^2 +4x + 4 -2x -4\\\\~~~~~~~~~~~~=x^2 +2x[/tex]
What is the constant of proportionality between y and a in the graph below?
2
10
1 2 3 4 5 6 7 8 9 10
86
7
6
5
4
3
2
1
0
Xeno
X
1/2
21/3
|
3/2
The constant of proportionality between y and x in the graph is 3/2 option third is correct.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have a graph shown in the picture.
As we can see, the given graph shows a line, which passes through (0, 0)
y = ax
a is the constant of proportionality.
We have two points (0, 0) and (6, 9) (from the graph)
From the above two points, we can find the equation of a line.
y = (9/6)x
y = (3/2)x
The value of the constant of proportionality is 3/2
Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.
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The sum of two numbers is 27 and their product is 50. Find the numbers.?
Answer:
a + b = 27
=> a = 27 - b
ab = 50
So, (27 - b) x b = 50
27b - b^2 = 50
b^2 - 27b + 50 = 0
Solving, b = 25, 2
Hence,
Case 1: b = 25, a = 2
Case 2, b = 2, a = 25
Answer:
2, 25
Step-by-step explanation:
Let the numbers be x and y :
x + y = 27xy = 50Rearrange the first equation so it is equal to one variable :
y = 27 - xSubstitute the value in the second equation :
x(27 - x) = 5027x - x² = 50x² - 27x + 50 = 0(x - 25)(x - 2) = 0x = 2, 25an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?
Answer:
73947.52
Step-by-step explanation:
the equation would be 100000 * (0.988)^25
since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.
A scanner scanned 72 photos in 8 minutes. If it scans photos at a constant rate, it can scan ___ photos in 23 minutes.
Answer:207
Step-by-step explanation:
First divide 72/8 to find how many photos the scanner scans per minute which is 9
Then you multiply 9 by 23 = 207
find x and y…………….????????
Answer:
[tex]let \: \alpha \: be \: the \: 45 \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(45) = \frac{x}{3 \sqrt{2} } \\ 1 = \frac{x}{3 \sqrt{2} } \\ x = 3 \sqrt{2} \\ by \: using \: pythagoras \: therom \\ {y}^{2} = {3 \sqrt{2} }^{2} + {3 \sqrt{2} }^{2} \\ {y}^{2} = 18 + 18 \\ y = \sqrt{36} \\ y = 6[/tex]
Step-by-step explanation:
hope this will help you
A 30cm ruler sometimes measures inches on the other side.
How many feet are approximately same as 30cm ?
1inch = 2.5cm
1foot = 12inches
1inch = 2.5cm
∆ 30cm
1inch x 30cm \2.5cm =?5cm =2inch
so 30cm=12inchFind the output for the graph
y=-3x +11
when the input value is -4.
y = [?]
Answer:
Y = 23
Step-by-step explanation:
In the equation (y = -3x + 11) the X is the input value. When you replace this by -4 you will multiply -4*-3 which will give you 12 and then you will want to add 11 as that is your y intercept. Giving the value of your Y a 23, or the point would be (-4,23)
what is the height of a lamp whose two radii are 20 cm and 30 cm and slant height is 40 cm?
Answer:
38.73 cm
Step-by-step explanation:
Given:
R = 30 X = 20 S = 40Solution:
S² = (R - r)^2xh^2
(40)^2=(30-20)^2+h^2
1600=(10)^2+h^2
1600-100=h^2
h=√1500
h=10√15
h=38.73 (rounded to the nearest tenth)
How do I solve this!! Quick and urgent (23. Is the number for the equation)
Answer:
Independent: Time
Dependent: Views
Step-by-step explanation:
Independent variables are the things that are purposefully altered.
Dependent variables are the things that change in response to the independent variables being changed.
As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.
help me pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
d. 0.771.
Step-by-step explanation:
This probability is equal to the area other than the green triangle divided by the total area of backyard.
Total area = 120^2 = 14400
Area of green triangle = 1/2 * 120 * 55 = 3300
So area of the part of yard not covered by the triangle = 14400 - 3300
and the required probability = (14400 - 3300) / 14400
= 0.771.
Answer:
d. 0.771
Step-by-step explanation:
What is probability?
Probability is the likelihood of the occurrence of something.
In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.
Understanding the question
Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.
So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle
Finding the areas
Area of square
Area of square = (side length)²
the square shown has a given side length of 120ft
So area = 120² = 120 × 120 = 14400
Area of triangle
Area of a triangle = (base length × height) / 2
Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet
So area would = ( 120 × 55 ) / 2 = 3300
Finding the probability
Again we want to find the probability that a ball thrown in the square will not land in the triangle
This can be calculated using the probability formula we created earlier
probability = ( area of square - area of triangle ) / area of square
we have area of square = 14400 and area of triangle = 3300
so probability = (14400 - 3300) / 14400
==> subtract 3300 from 14400
probability = 11100 / 14400 = 0.771 ( rounded )
And we are done!
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I WILL GIVE BRAINLIEST! Draw the line of reflection that reflects ABC onto ABC prime
Answer:
put the line on y= -2
Step-by-step explanation:
The figure ABC is reflected along the line y = -2 and the new coordinated will be A(-2, -4), B (3, 0), and C (-2, -7).
What is reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Given:
The coordinates of the figure of ABC is given as A(-2, 0), C(-2, 3), and B(3, -4),
The new coordinates of A'B'C' are A(-2, -4), B(3, 0), and C(-2, -7),
If the given figure is reflected as y = -x,
Then, the coordination will change like (-y, -x),
Thus, the new coordinates of ABC will be A(-2, -4), B (3, 0), and C (-2, -7).
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Which best describes the solutions to the inequality x greater than 10? 10 and every whole number greater than 10 a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10 11 and every whole number greater than 11 a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10
Answer:
option A infinite rational values of x greater than 500
Step-by-step explanation:
i just finished the quiz on edge
6 of 6
An equilateral triangle with side length 17 cm is shown in the
diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
cm²
Answer:
125.1 cm^2 to 1 D.P.
Step-by-step explanation:
We could use Heron's formula to do this
Area = √(s(s-a)(s-b)(s-c) ) where s is the semi-perimeter and a b and c are the lengths of the 3 sides
So we have:
s = (17+17+17) / 2 = 25.5
and Area = √(25.5)(25.5 - 17)^3)
= √15660.1875
= 125.14 cm^2
please help! 7th grade math
Answer:
q 3 = 3/12.2/9 q4 = 15/40.14/39
Tomas bought 2.4 pounds each of apples and pears. The apples cost $1.65 a pound and the pears cost $2.25 a pound. Tomas split the cost of the apples and pears evenly with his 3 siblings. How much should each of them pay for the apples and pears?
Answer:
$2.34
Step-by-step explanation:
The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.
__
The distributive property can be used to simplify the problem.
total cost = cost of apples + cost of pears
share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))
share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)
share cost = $2.34
Each of them should pay $2.34 for the apples and pears.
Which, if any, of the following are solutions to the equation
y = 3x + -2?
A. (0,2),
B. (1.5)
C. (2,0)
D. (2,3)
E. (3,2)
F. (5,1)
G. None are solutions
Answer:
I think none are solutions
Find the volume of the solid :)
answer key
78.4
Step-by-step explanation:
Multiply 7 x 4 =28
Then Multiply 28 x 2.8 = 78.4
That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞ hope that helps out
Watch help video
ruby was out at a restaurant for dinner when the bill came. her dinner came to $27.
after adding in a tip, before tax, she paid $34.29. find the percent tip.
Answer:
I think it's 21.26%
Step-by-step explanation:
tip: 34.29-27=7.29$
the percent tip: (7.29×100)/34.29=21.26 (approximately)
What fraction of a clock is represented if the hands are at the 12 and 3
Answer:
fraction :4
Step-by-step explanation:
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into each
bottle?
A.
bol.co
x
5 6 7 8 9
R.
O B.22
OC.
O D. 2
090
mmo
Answer:
The answer choices are garbled.
Step-by-step explanation:
(18 pints)/(8 bottles) = (9/4) pint/bottle
2 and 1/4 pints per bottle
Please help I have no idea what I am doing
Answer:
16 more games
Step-by-step explanation:
4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get
16
B. If one of the data points at 15 were moved to 10, how could you change another data
point to keep the mean the same?
Answer:
Below.
Step-by-step explanation:
You have a data point 5 to the left.
So you would move another data point 5 units to the right - like for example 14 to 19.
If the volume of sphere is 4574.9 cubic inches is the radius?
Answer:
10.3
Step-by-step explanation:
Volume of a sphere
V = 4/3 pi r^3
4574.9 = 4/3 (3.14) r^3
r= 10.3 in
How much is 30 pounds if the price per pound is 3.50.
Which describes the process of finding the volume of a cylinder? (Help ASAP)
The stem-and-leaf plot shows test scores for students in Math 7. How many students earned more than a 65 on their test? Key 4|5 = 45 A) 58 students B) 28 students C) 60 students D) 65 students
Answer:
68 studentsStep-by-step explanation:
Count the number of scores greater than 65
60's ⇒ 8 (2 of 66, 4 of 68, 2 of 69)70's ⇒ 18 (4 of 72, 2 of 74, 2 of 75, 2 of 76, 2 of 78, 6 of 79)80's ⇒ 10 (2 of 81, 2 of 85, 2 of 86, 2 of 87, 2 of 88)90's ⇒ 22 (6 of 90, 2 of 92, 2 of 93, 2 of 94, 6 of 95, 2 of 98, 2 of 99)Total number is
8 + 18 + 10 + 10 + 22 = 68Note: none of answer choices reflect this
Answer:
68 student hope that helps
Write an algebraic expression for each word expression:
A number h divided by 4.2
Answer:
h ÷ 4.2
Step-by-step explanation:
#83 will give brainliest with best response!
Answer:
[tex]\frac{31x-159}{168y}[/tex]
Step-by-step explanation:
[tex]\frac{x-4}{7y}[/tex] - [tex]\frac{x+7}{8y}[/tex] + [tex]\frac{x+3}{6y}[/tex]
the LCD of the denominators is 168y , then
[tex]\frac{24(x-4)-21(x+7)+28(x+3)}{168y}[/tex] ← distribute and simplify numerator
= [tex]\frac{24x-96-21y-147+28x+84}{168y}[/tex]
= [tex]\frac{31x-159}{168y}[/tex]
Answer:
[tex]\frac{31x - 159}{168y}[/tex]
Step-by-step explanation:
First we need to find a common denominator between 7y, 8y, and 6y. And the smallest common denominator is 336y, which I got by multiplying 7*8*6 and since they all share y, we can just keep the y without multiplying it.
Now, we need to multiply each fraction by the correct number on the top and bottom to reach 336. When we do this, we get [tex]\frac{x-4}{7y} (\frac{48}{48} ) - \frac{x+7}{8y}(\frac{42}{42}) + \frac{x+3}{6y}(\frac{56}{56})[/tex]. OMG. Well, now we need to expand the numerators...[tex]\frac{48x - 192}{336y} - \frac{42x + 294}{336y} + \frac{56x + 168}{336y} = \frac{62x - 318}{336y}[/tex]. Another OMG. But now we need to simplify...so we get [tex]\frac{31x - 159}{168y}[/tex]. Done.
Hope this helps! :)
Without considering other forces such as friction what is the net force in this problem?
Answer:
25 N to the left
Step-by-step explanation:
The net force is equal to the differences in magnitudes of the forces acting on it.
Take the left direction to be positive (+) and right direction to be negative (-).
Solving :
Net Force = Force (left) - Force (right)
Net Force = 10 + 20 - 5
Net Force = 30 - 5
Net Force = 25 N to the left
F_net
F1+F2+F310+20-530-525NIn a class of 25 students, 6 are female and 8 have an A in the class. There are 13
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?
The probability that a student chosen randomly from the class is a male who does not have an A is 0.52
How to determine the probability?The given parameters are:
Students = 25Female = 6Students with A = 8Male students without A = 13The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:
P = 13/25
Evaluate
P = 0.52
Hence, the probability is 0.52
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