Answers
Answer:
[tex]\large \boxed{ \sf y=-0.3\left|x-0\right|-7}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -7)
As the graph opens downward, take negative/fall coordinates.
Two points: (0, -7), (10, -10)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-10-(-7)}{10-0} \ = -0.3[/tex]
Put them together: [tex]\bf y = -0.3|x - 0| -7 \ \ \ \approx \ \ y = -0.3|x| - 7[/tex]
Answer:
[tex]g(x)=-\dfrac{3}{10}|x|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
From inspection of the graph, the transformed function has been reflected in the x-axis.
[tex]\implies -f(x)=-|x|[/tex]
The vertex of the parent function is the origin (0, 0). The vertex of the transformed function is at (0, -7). Therefore, there has been a translation of 7 units down.
[tex]\implies -f(x)-7=-|x|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies -a\:f(x)-7=-a|x|-7[/tex]
The line goes through point (10, -10)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies -a|10|-7=-10[/tex]
[tex]\implies -10a=-3[/tex]
[tex]\implies a=\dfrac{3}{10}[/tex]
Therefore,
[tex]\implies g(x)=-\dfrac{3}{10}|x|-7[/tex]
Related Questions
How to solve the square root of x - 1.
Answers
Answer:
I know i'm late but I think this might be right, I don't know, I used a website-
Step-by-step explanation:
When
√x-1
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√x-1 = 0
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√x-1)2 = ()2
After squaring
x-1 =
STEP
3
:
Solve the linear equation
Rearranged equation
x -1 = 0
Add 1 to both sides
x = 1
A possible solution is :
x = 1
STEP
4
:
Check that the solution is correct
Original equation
√x-1 =
Plug in 1 for x
√(1)-1 =
Simplify
√0 = 0
Solution checks !!
Solution is:
x = 1
also, want to talk and be friends?
~Dreamer1331~
i need help with 7th grade math please 30 points need help ASAP
Answers
Answer:
Area = 657 ft^2
Step-by-step explanation:
Heron's Formula: [tex]S=\frac{a+b+c}{2}[/tex] ,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]s=\frac{20+21+29}{2}=\frac{70}{2} =45 ft[/tex]
[tex]Area=\sqrt{45(45-20)(45-21)(45-29)}\\\\=\sqrt{45(25)(24)(16)}\\\\=\sqrt{432000}[/tex]
= 657.267069
Area = 657 ft^2
Answer:
210 ft²
Step-by-step explanation:
Take the base and height of the triangle.
Base = 21 ft.Height = 20 ft.Solving for area :
A = 1/2 x base x heightA = 1/2 x 21 x 20A = 10 x 21A = 210 ft²if the area of a square is 32f^2 how long is its diagonals?
Answers
8f
Side:
√32 = 4√2
Diagonal of the square:
√2 X side = √2 X 4√2 = 8f
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
Answers
The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.
Then the measure of angle ACB will be
We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.
Then we have
2∠ABC = ∠AOB
2∠ABC = 80°
∠ABC = 40°
More about the circle link is given below.
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A baker made two cakes of the same size.
At the end of the day, there was 2/3 of a chocolate cake left.
There was 5/6 of a strawberry cake left.
The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.
How much larger was the chocolate cake pieces than the strawberry pieces?
Answers
Your question seems to be incomplete
what is the second term in the sequence: 5, 10, 15, 20?
A. 5. B. 11 C. 15 D. 20
Answers
Answer:
a ............,....
Step-by-step explanation:
....
....,,
Find the area of the shaded figure.
Answers
Answer: 12
Step By Step Explanation:
What is 48 times 22 1/2 times 32 equal to?
Answers
Which of the following does NOT contribute to global warming?
A. Oil
B. Gas
C. Nuclear power
D. Coal
Answers
(C) Nuclear power
Explanation:
It does not produce green house gas
Wyatt bought $40 worth of materials to make braided keychains. If Wyatt Sells his keychains for $2.50
each, how many keychains must he sell to earn a profit?
Answers
Inequalities help us to compare two unequal expressions. Wyatt needs to sell at least 17 keychains.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given Wyatt bought $40 worth of materials to make braided keychains. Also, it is given that Wyatt Sells his keychains for $2.50 each. Therefore, the minimum number of keychains he should sell to make a profit are,
Number of keychains>(40/2.50)
Number of keychains > 16
Thus, Wyatt needs to sell at least 17 keychains.
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Answer:
Step-by-step explanation:
17
after a 15% discount an item cost22.27 what was the origanl price
Answers
Answer:
26.2
X = 22.27/(1 - 0.15)
X = 22.27/0.85
X = 26.2
How do you put x=y-1
into word form
Answers
Answer:
x equals y minus one
Step-by-step explanation:
= means equals
- is minus
x and y cannot be put into any other (word) form
hope this helps:)
What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=
Answers
The roots of this equation equation are:
x1 = 4
x2 = 8
This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.
Equation given: x² - 12x + 36 = 4
First, let's multiply the 12 and 36 term into factors (factoring):x² - 12x + 36 = 4
12x ➯ 2x . x6
36 ➯ 6²
x² - 2x . x6 + 6²
( x - 6 )² = 4
Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:( x - 6 )² = 4
x - 6 = ±√4
x - 6 = ±2
We will organize the equation in two forms, being: positive and negative:x - 6 = ±2
x - 6 = -2
x - 6 = +2
Finally, let's calculate the first degree equation:x - 6 = -2
x = -2 + 6
x = 4
x - 6 = +2
x = 2 + 6
x = 8
Therefore, the correct results of this equation, will be:
x1 = 4
x2 = 8
4.) Which of the following correctly describes the line y = 5?
(1) It is parallel to the x-axis
(2) It is parallel to the y-axis
(3) It is diagonal with a slope of
(4) It has no y-intercept
Answers
Answer:
It is parallel to the x-axis
Step-by-step explanation:
................
A pair of shoes usually sells for $68. If the shoes are 20% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answers
Answer:
[tex]Total\ Price = \$57.12[/tex]
Step-by-step explanation:
Step 1: Determine the discounted price
[tex]Discount=Original* (Total\ percent - Sale\ percent)[/tex]
[tex]Discount=\$68 * (1 - 0.2)[/tex]
[tex]Discount=\$68 * (0.8)[/tex]
[tex]Discount=\$54.4[/tex]
Step 2: Determine the total with tax
[tex]Total\ Price = Discount * (Total\ percent + Tax\ percent)[/tex]
[tex]Total\ Price = \$54.4*(1+0.05)[/tex]
[tex]Total\ Price = \$54.4*(1.05)[/tex]
[tex]Total\ Price = \$57.12[/tex]
Answer: [tex]Total\ Price = \$57.12[/tex]
Hope this helps! Let me know if you have any questions
Which statement about the graphs is true?
O Graph A is a valid density curve because the part of
the graph from 2 to 6 is below the horizontal axis.
O Graph A is not a valid density curve because the
part of the graph from 1 to 2 is above the horizontal
axis.
O Graph B is not a valid density curve because part of
the horizontal axis has negative values.
O Graph B is a valid density curve because the curve
is above the horizontal axis, and the area under the
curve is 1.
Answers
The statement about the graphs is true is: Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Statement about the graph that is trueGraph curve is above the horizontal axis.
Let determine the area under the curve using this formula
Base of left and right triangle
Left
Base = -3 - (-5)
Base= 2
Right
Base= 3 - (-3)
Base= 6
Right and left height
Height= 0.25
Hence:
Total area=(base× height)/2
Total area=[ (2×0.25)/2] + (6×0.25)/2
Total area=0.25+0.75
Total area=1
Therefore Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
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The function (x)-47x
represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 15 minutes?
Answers
Given the function, j(x) = 47x, the number of jumps you can do in 15 minutes is: 705.
What is a Function?A function models the relationship between an input value and its corresponding output value.
Given the function, j(x) = 47x, number of jumping jacks you do in 15 minutes, is:
j(15) = 47(15)
j(15) = 705
Number of jumping jack in 15 minutes is: 705.
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9. 144^14/144^2
A. 144^16
B. 144^12
C. 144^28
D. 144^14/2
Answers
The correct result of this expression is 144¹²
This question is related to the division of potentiation of equal basesPotentiation is a multiplication of equal factors. When dividing bases or equal numerator and denominator - just keep the bases and subtract the exponents.
= 144¹⁴ / 144²
= 144¹⁴‐²
= 144¹²
So, the correct answer will be 144¹²
If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?
Answers
Answer: 452.16
Step-by-step explanation:
which digit is in the hundredths place of the decimal number 6.537?
Answers
HELP ASAP PLEASE !!
What is sum n = 1 to 4 5 ^ n equal to?
Answers
Answer: 50
Step-by-step explanation: hello the answer is 50
How do you solve for x?
Answers
..........................
A surveyor needs to determine the distance between two points that lie on opposite banks of a river. Two points, A and C, along one bank are 250 yards apart. The point B is on the opposite bank. Angle A is 64º and angle C is 51°. Find the distance between A and B to the nearest tenth of a yard. • Write your answer as a number only. • Round answer to one decimal place.
Answers
Answer:
does anyone know
Step-by-step explanation:
That is hard
Need urgent help! Right answer
Answers
Answer:
2,772 m^2
Step-by-step explanation:
First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.
Solve for x, please show work!
Answers
Answer:
x = 3°
Step-by-step explanation:
The external angle where secants/tangents meet is half the difference of the intercepted arcs.
__
Here, that means ...
18x = (1/2)(194° -86°)
18x = 1/2(108°) = 54° . . . . . simplify
x = 3° . . . . . . divide by 18
PLEASE HELP 20 POINTS!!
Answers
Answer:
D) x² - y = 10x + 25 + y
Step-by-step explanation:
A relation only becomes a function if each x-value only has a single y-value as the answer.
Evaluating
A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-valueIf f(x) = 3x+2, find f(f¹(14))
Answers
Answer:
f(f¹(14)) = 134
Step-by-step explanation:
Given :
f(x) = 3x + 2Find the value of f(14) :
f(14) = 3(14) + 2f(14) = 42 + 2f(14) = 44Therefore, f(f¹(14)) = f(44).
Solving :
f(44) = 3(44) + 2f(44) = 132 + 2f(f¹(14)) = 134Draw the graph of the equation 2x - y = 10.
Answers
Answer:
see attached
Step-by-step explanation:
The graph of a linear equation can be drawn using any of several methods. Here, we are given the equation in standard form. We notice that the variable coefficients are both divisors of the constant, which means the x- and y-intercepts will be integer values. It will be convenient to draw the graph using those points.
__
The x-intercept is the x-value when y = 0.
2x -0 = 10
x = 10/2 = 5 . . . . . . (5, 0) is a point on the line
__
The y-intercept is the y-value when x = 0.
0 -y = 10
y = -10 . . . . . . . (0, -10) is a point on the line
__
The graph can be drawn by plotting these points and drawing the line through them. This is shown in the attachment.
Solve for Unknown: x/10=43/46.
Do not put variable, only put the number value to the nearest whole number
Answers
Answer:
9
Step-by-step explanation:
x= 430/46
x=9.35 approximately 9( nearest whole number)
2. There are 42 persons in a mathematics class, and everyone of them drinks either coffee or grape milk at
breakfast. If eighteen persons drink grape milk and ten persons drink both grape milk and coffee, how
many persons drink grape milk only, and how many drink coffee only? Draw a Venn diagram to support
your answers.
Answers
Answer:
1. 8
2. 24
Step-by-step explanation:
The number of persons that drink grape milk only :
18 - 10 = 8
The number of persons that drink coffee :
42 - 8 = 34
The number of persons that drink coffee only :
34 - 10 = 24
