An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
Please help me with this ASAP
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A line has a slope of 8 and a y-intercept of 5. What is its equation in slope -intercept form?
Answer:
y = 8x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 8 and c = 5
y = 8x + 5 ← equation of line
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
To know more about translation follow
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Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2
Answer:
Step-by-step explanation:
2/16
1/8
8/1=8
2/16=0.125 which is equal to 1/8
2/14=1/7
1/8=1/8 is 2/16 simplified so they are the same
14/2=7
Bob went on 8 hikes.
The hikes were: 2 miles, 5 miles, 1 miles, 5 miles, 1 miles, 2 miles, 3 miles, 4 miles
What was the range of the lengths of Bob's hikes?
2 miles
3 miles
4 miles
5 miles
The range is the difference between the longest hike and the shortest hike.
Longest = 5
Shortest = 1
Range = 5-1 = 4 miles
Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Find the volume of a right rectangular prism if the dimensions of the base are 4 centimeters by 9 centimeters and the height is 11 centimeters.
Answer:
396 cubic centimeters
Step-by-step explanation:
Given that
The dimension of the base is 4 centimeter by 9 centimeter and the height is 11 centimeter
We need to find out the volume of the right rectangular prism
We need to apply the following formula
As we know that
Volume = lwh
here
l denotes the length
w denotes the width
And, h denotes the height
= (4) (9) (11)
= 396 cubic centimeters
Answer:
A 396 cm^3 is correct
Step-by-step explanation:
Please help me with questions 3 and 4!!! It's really past due and I haven't been the best so far. Send help!!! (This is middle school math.)
Answer:
3.) 4
4.) 4j=44
4j/4=44/4
j=11
Pls mark Brainliest :)
Step-by-step explanation:
160 is what percentage of 40?
Answer:
400
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
If you meant what percentage 40 is of 160, its 25%
40/160= 1/4= 25%
160/40= 4/1= 400%
Pls help I will give branlist answer on the best one
Don’t explain it just strait up give me the answer for 1,2 and 3
Answer:
Plz explain how to do this. Do I put numbers or what?
Step-by-step explanation:
When you tell me, I'll answer! <3
Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+7 4(x + 7) = 38
Answer:
x = (-158)/87
Step-by-step explanation:
Solve for x:
38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38
Hint: | Multiply 7 and 4 together.
7×4 = 28:
38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38
Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).
Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):
28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38
Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.
38 x + 7 x + 7 x + 7 x = 59 x:
28 (x + 7) + 59 x = 38
Hint: | Distribute 28 over x + 7.
28 (x + 7) = 28 x + 196:
28 x + 196 + 59 x = 38
Hint: | Add like terms in 59 x + 28 x + 196.
28 x + 59 x = 87 x:
87 x + 196 = 38
Hint: | Isolate terms with x to the left hand side.
Subtract 196 from both sides:
87 x + (196 - 196) = 38 - 196
Hint: | Look for the difference of two identical terms.
196 - 196 = 0:
87 x = 38 - 196
Hint: | Evaluate 38 - 196.
38 - 196 = -158:
87 x = -158
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 87 x = -158 by 87:
(87 x)/87 = (-158)/87
Hint: | Any nonzero number divided by itself is one.
87/87 = 1:
Answer: x = (-158)/87
Quadrilateral A’B’C’D’ is a dilation of ABCD about point F.
Please Help. Urgent
What is the scale factor?
A. 0.4
B. 1.5
C. 2.5
D. 5
The answer to the equation is 2.5
Can someone plz help me with this one problem pls I really need to get to and 85 !!
Answer:
I think it’s 28.3
Step-by-step explanation:
Sorry If I’m wrong
Answer:
im guessing somwere around 27Please helpp ASAP
Plsss helpp ASAP
Extra 100 points and brainliest
Answer:
C
Step-by-step explanation:
I think
If thats not right I apologize
the average length of a doves egg is 7 1/2 inches. the average length of a ravens egg is 6/10 inches. about how many more inches is the doves egg to the ravens
Answer:
7 1/10 inch
Step-by-step explanation:
Write x^3- 7x + 7x^5 - 19 + x^2
in standard form.
A. -19 + 7x5 - 7x + x3 + x2
B. x3 – 7x + 7x5 – 19 + x2
0
C. 7x5 + x3 + x2 - 7x - 19
O D. -19 - 7x + x2 + x + 7x5
Answer:
C
Step-by-step explanation:
A polynomial in standard form is first term, variable with largest exponent followed by decreasing exponents to the last term, the constant
Given
x³ - 7x + 7[tex]x^{5}[/tex] - 19 + x² ← rearrange terms
= 7[tex]x^{5}[/tex] + x³ + x² - 7x - 19 ← in standard form → C
Using the graph below, calculate the average rate of change for f(x) from
x = 0 to x =2
1) -4
2) -2
3) 2
4) 4
Answer:
4
Step-by-step explanation:
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = 0,
f(a) = f(0) = -2 (from the graph given)
b = 2,
f(b) = f(2) = 5 (from the graph)
Plug in the values
Average rate of change = [tex] \frac{5 - (-2)}{2 - 0} [/tex]
[tex] = \frac{7}{2} [/tex]
= 3.5 ≈ 4 (approximated)
Find the distance between points.
Answer:
10
Step-by-step explanation:
Answer:
the answers is 10:))))))
What decimal is equivalent to the fraction 12/15?
A. 0.07
B. 0.08
C. 0.7
D. 0.8
A rabbit (primary consumer) was preyed upon and consumed by a fox (secondary consumer). Before being consumed, the rabbit had eaten leaves and berries. The leaves and berries contained 20 kJ of energy. How many kilojoules of the energy from the leaves and berries did the fox obtain after eating the rabbit?
Answer:
2kJ
Step-by-step explanation:
Use the 10 percent rule:
20kJ=20,000J
20,000J*0.10=2,000J=2kJ
What is the area of the parallelogram?
21 cm
15 cm
20 cm
O 82 cm
300 cm?
O 315 cm?
O 420cm
Complete Question
What is the area of the parallelogram?
Slant Height = 21 cm
Height = 15 cm
Base = 20 cm
Answer:
300cm²
Step-by-step explanation:
The formula for the area of the parallelogram = Base × Height
Base = 20cm
Height = 15cm
Area = Base × Height
= 20cm × 15cm
= 300 cm²
Therefore, the area of the parallelogram is 300 cm²
Answer:B!300 cm!
Step-by-step explanation:hope this helps!!happy Friday!
Write two numbers that multiply to the value on top and add to the value on bottom. -60−60 -4−4 \times× ++
Answer:
The two numbers are 6 and -10
Step-by-step explanation:
Given
[tex]Product = -60[/tex]
[tex]Sum =-4[/tex]
Required
Two numbers that satisfy the above
Let the two numbers be x and y.
So:
[tex]x * y = -60[/tex]
[tex]x + y = -4[/tex]
Make x the subject
[tex]x = -4 - y[/tex]
Substitute [tex]x = -4 - y[/tex] in [tex]x * y = -60[/tex]
[tex](-4 -y) * y = -60[/tex]
Open bracket
[tex]-4y -y^2 = -60[/tex]
Rewrite as:
[tex]y^2 + 4y - 60 = 0[/tex]
Split
[tex]y^2 + 10y - 6y - 60 = 0[/tex]
Factorize
[tex]y(y + 10) - 6(y + 10) = 0[/tex]
Factor out y + 10
[tex](y - 6) (y + 10) = 0[/tex]
Solve for y
[tex]y -6=0\ or\ y+10=0[/tex]
[tex]y =6\ or\ y=-10[/tex]
Recall that:
[tex]x = -4 - y[/tex]
So:
[tex]x = -4-6= -10[/tex]
or
[tex]x = -4--10= 6[/tex]
So:
[tex]y =6\ or\ y=-10[/tex]
[tex]x = -10\ or\ x =6[/tex]
The two numbers are 6 and -10
If right you’ll get brainliest
The temperature increased by 10°F.
Step-by-step explanation:
To solve this question, solve this equation:
[tex]-6+X=4[/tex]
Flip the equation so it is easier to solve:
[tex]4-(-6)=X[/tex]
Two negatives = A positive so:
[tex]4+6=X[/tex]
Then, add to solve the equation:
[tex]10=X[/tex]
The temperature increased by 10.
The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?
Answer:
88%
Step-by-step explanation:
First we multiply the mean by 5.
77.4 x 5 = 387
Then we add all of the test scores.
88 + 77 + 70 + 72 = 299
We subtract the total of the scores from 387, which we got from mulitplying the mean by 5.
387 - 299 = 88
Therefore, Tom's score on his fifth test was an 88%.
Hope this helps!
Help please I need the answer quick.
Answer:
d
Step-by-step explanation:
Which equation has the same solution as x2 + 16x – 11 = 4?
Answer:
x^2 + 16x - 15 = 0.
Step-by-step explanation:
x^2 + 16x – 11 = 4 Subtract 4 from both sides:
x^2 + 16x - 15 = 0 is one equation with the same roots.
Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:
3x^2 + 48x - 45 = 0.
help me please i cant get it
Answer:
Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.
The total cost of both games is:
X + Y
We know that both games cost just above AED 80
Then:
X + Y > AED 80
From this, we want to prove that at least one of the games costed more than AED 40.
Now let's play with the possible prices of X, there are two possible cases:
X is larger than AED 40
X is equal to or smaller than AED 40.
If X is more than AED 40, then we have a game that costed more than AED 40.
If X is less than or equal to AED 40, then:
X ≥ AED 40
Now let's take the maximum value of X in this scenario, this is:
X = AED 40
Replacing this in the first inequality, we get:
X + Y > AED 80
Replacing the value of X we get:
AED 40 + Y > AED 80
Y > AED 80 - AED 40
Y > AED 40
So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.
So we proven that in all the possible cases, at least one of the two games costs more than AED 40.
Please help me please I really need help please
Answer:
See attached
Step-by-step explanation:
Solution is in the attached picture