The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively
How to transform the function?The function is given as:
f(x) = 2x² - 1
When the function is translated 7 units left, the transformation rule is:
(x,y) -> (x + 7, y)
So, we have:
g(x) = 2(x -7)² - 1
A quadratic function is represented as:
g(x) = a(x -h)² + k
By comparison, the values of h and k are 7 and -1, respectively
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What is the slope of the line that passes through the points ( − 5 , 6 ) and(−9,−6)? Write your answer in simplest form.
Answer:
-3
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1 so put you numbers in and you get
-6-6/-9+5
-12/4
and then -3
Answer:
-3
Step-by-step explanation:
[tex]y=mx+b[/tex] is equation of a straight line.
Here, the slope is m.
[tex]m=\frac{y_{2}-y_{1} }{{x_{2}-x_{1}}} =\frac{-6-6}{-9-(-5)} =\frac{-12}{-4}=-3[/tex]
Pretty please help me
Answer:
15 percent
Step-by-step explanation:
just look up 180 plus each percentage
pls help I really need to do this due today!!!!!!
Answer:
B She is correct because the shape is a quadrilateral with at least one pair of Parallel sides.
Step-by-step explanation:
The side on the top is parallel with the side on the bottom.
It could not be A because there is only one pair of parallel sides.
It can’t be C or D because the shape is a trapazoid.
Answer:
B
Step-by-step explanation:
!! She is correct because the shape is a quadrilateral with at least one pair of parallel sides.
##Have a lovely day today ^^!
Three times the sum of a number, y, and 5 is at most 36.
Answer:
7
Step-by-step explanation:
3(y+5)=36
divide both sides by 3
y+5=12
minus 5
y=7
Three times the sum of a number y, and 5 is at most 36 is equivalent to y = 7
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that three times the sum of a number y, and 5 is at most 36.
⇒ 3(y+5)=36
Divide both sides by 3
⇒ y + 5 = 12
Subtract by 5 in the equation
⇒ y = 7
Hence, three times the sum of a number y, and 5 is at most 36 is equivalent to y = 7
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what is the simplified answer to 1/2(x+1)-1/3(x-1) ???
Answer:
.5x+.5-1/3x-1/3
Step-by-step explanation:
You then would combine like terms and get x
helppppppppppppppppppppp
Answer:
Perimeter =28 units.
Area = 45 unit^2.
Step-by-step explanation:
The length of first side (joining first 2 points) = 5 - (-4) = 9 (as y coordinates are both -5)
The line joining the 2nd and third points = 0 - (-5) = 5
The line joining the 3rd and 4th points = 5 - (-4) = 9.
The line joining the first and 4th points = 0 - (-5) = 5
So the perimeter = 2(5) + 2(9)
= 28 units.
Area = 5*9 = 45 unit^2.
Answer:
See below ~
Step-by-step explanation:
Finding Area
Area = Length x BreadthArea = (5 - (-4)) x (0 - (-5))Area = 9 x 5Area = 45 square unitsFinding Perimeter
Perimeter = 2(Length) + 2(Breadth)Perimeter = 2(Length + Breadth)Perimeter = 2(9 + 5)Perimeter = 2(14) = 28 unitsThe body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body
let a be aluminum and g be gold and k how many times:
2*10⁻¹mg a+ 6*10¹mg g= 154 lb
so a=kg
k=a/g
k=2*10⁻¹/6*10=1/300
a=1/300g
so Aluminum is 1/300 of gold.
A little more help???
Answer:
12.7
Step-by-step explanation:
9^2+9^2=162
square root of 162 equals roughly 12.7
Use the pythagorean theorem
Mia plans to build a fence to divide her rectangular garden into two triangular areas. use the diagram to find the length of fence she will need to divide the garden. round up to the nearest hundredth. mia will need a fence that is meters long.
Answer:
Mia will need a fence that is 9.22 meters long.
Step-by-step explanation:
Answer:
If the square root is not a perfect square, then an approximation of the root often makes more sense in the context of the problem. For real-world problems, you would want an approximation, so you have an estimate of the length you are looking at.
Step-by-step explanation:
edg 2022
evaluate the expression 4x for each value of x
The dimensions of the rectangular prism are shown on the net below. Which of the following is closest to the total surface area of the figure?
A. 101.6 cm^2
B. 203.2 cm^2
C. 285.1 cm^2
D. 178.7cm^2
The area of a 2D form is the amount of space within its perimeter. The total surface area of the rectangular prism is 203.2 units².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilaterals, multiply its length by its width.
The total surface area of a rectangular prism is given by the formula,
Total Surface Area = 2[(Length×width) + (Length×height) + (height×width)]
Given the length of the rectangular prism is 9cm, the width of a rectangular prism is 7.6 cm, and the height of the prism is 2 cm. Therefore, the total surface area can be written as,
[tex]\text{Total Surface Area} = 2[(9 \times 7.6) + (9 \times 2)+(2 \times 7.6)][/tex]
[tex]\rm = 2(68.4+ 18 + 2 \times 15.2)\\\\= 203.2\ cm^2[/tex]
Hence, the total surface area of the rectangular prism is 203.2 units².
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Find the measures of all of the angles.
1. ∠ABC =
2. ∠BCA =
3. ∠CAB =
Answer:
1. ∠ABC =60
2. ∠BCA =90
3. ∠CAB =30
Step-by-step explanation:
3 angles will equal 180 deg.
the right angle is 90 degrees, always.
so (90) + (5x) + (9x+6) = 180
combine like terms
14x + 96 = 180
move like terms to isolate x
14x = 180-96
14x = 84
divide both sides by 14 to isolate x
x = 6
∠CAB = 5x replace 6 for x, = 30
∠ABC = 9x+6, replace 6 for x = (9*6) + 6, = 60
2
Find the are of the following circle with radius 2xy?
Area of a circle is A=r
2
=
Answer:
2πxy^2 unit^2
Step-by-step explanation:
area of circle=πr^2
=π×2xy^2
=2πxy^2
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/3 pizzas.
Step-by-step explanation:
AddingL
5/6 + 3/6 = 8/6
= 1 2/6
= 1 1/3 pizzas.
Can you help my sister with fractions while I'm studying. I need to review on my exams
Answer:
4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
We have 4 whole circles and half a circle so 4 + [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{1}{2}[/tex]
What percent of the buildings are no taller than 345 meters?
Answer:
the answer is 75%
each dot represents 25% of the data
Below 345 meters are 3 points
so, 3 * 25% = 75%
There is a map of the world on the wall in
Mr. Smith's classroom. The scale on the
map
lists 1 inch to 400 miles. On his map,
Mr. Smith measured 13 inches between the
United States and Europe. How many
miles is the distance from the
United States to Europe?
[? ] miles
The distance from the United States to Europe is 5200miles.
We have given that the,
There is a map of the world on the wall in Mr. Smith's classroom.
The scale on the map
lists 1 inch to 400 miles.
On his map, Mr. Smith measured 13 inches between the United States and Europe.
What is the value of one inch?
The value of one inch is 400 miles.
We have to determine the 13 inches in miles
We have given that
1inch=400miles
Therefore multiply both side by 13 so we get
13inches=13(400)miles
=5200miles
Therefore we get, the distance from the United States to Europe is 5200miles.
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Answer:
5200
Step-by-step explanation:
If the scale on the map is 1 inch to 400 miles, and Mr. Smith measured 13 inches between the United States and Europe, we can find the distance in miles by multiplying the number of inches by the scale:
Distance in miles = Number of inches * Scale
Distance in miles = 13 inches * 400 miles/inch
Distance in miles = 5200 miles
Therefore, the distance from the United States to Europe, based on Mr. Smith's map, is 5200 miles.
Which expression is equivalent to ? Prove your choice is correct.
[tex]\\ \rm\Rrightarrow \dfrac{(11^6.6^9)^2}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{6(2)}.6^{9(2)}}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{12}.6^{18}}{11^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{11^{12-3}6^{18}}{}[/tex]
[tex]\\ \rm\Rrightarrow 11^96^{18}[/tex]
Answer:
B
Step-by-step explanation:
[tex]\sf Given \: expression\: :\dfrac{(11^6 \cdot 6^9)^2}{11^3}[/tex]
[tex]\sf Apply\:exponent\:rule\quad (a^b)^c=a^{bc} :[/tex]
[tex]\sf \implies \dfrac{11^{6 \times 2} \cdot 6^{9\times2}}{11^3}[/tex]
[tex]\sf \implies \dfrac{11^{12} \cdot 6^{18}}{11^3}[/tex]
[tex]\sf \implies \dfrac{11^{12}}{11^3} \cdot 6^{18}[/tex]
[tex]\sf Apply\:exponent\:rule\quad \dfrac{a^b}{a^c}=a^{b-c} :[/tex]
[tex]\sf \implies 11^{12-3} \cdot 6^{18}[/tex]
[tex]\sf \implies 11^{9} \cdot 6^{18}[/tex]
HELPL ME PLEASE I HAVE THE IMAGE READ IT !!!!!
Answer:
494
Step-by-step explanation:
931-437=494 :)
PLEASE HELP
last choice: Olga did not make a mistake
Answer:
Step 3
Step-by-step explanation:
They divided, they should have multiplied
Solve for x in 41n(x-7)=8
Answer:
Simplifying
41n(7x) = 8
Remove parenthesis around (7x)
41n * 7x = 8
Reorder the terms for easier multiplication:
41 * 7n * x = 8
Multiply 41 * 7
287n * x = 8
Multiply n * x
287nx = 8
Solving
287nx = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '287x'.
n = 0.02787456446x-1
Simplifying
n = 0.02787456446x-1
Step-by-step explanation:
what is the number for x
5= x over 6
Answer:
x=30
Step-by-step explanation:
5=x/6
30=x
Mrs. Sloan is purchasing 3.4 pounds of trail mix that costs $4.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20.00?
Answer:
she should get in change $5.55
Which expression is equivalent to (8x+6)+(10x−30)?
18(x−24)
9(2x−24)n
18x−3618
6(3x−4)
How to solve 12 1/2 x 4 in area model?
Hey there!
12 1/2 * 4
= 12 1/2 * 4/1
= 12 * 2 + 1 / 2 * 4/1
= 24 + 1 / 2 * 4/1
= 25/2 * 4/1
= 25(4) / 2(1)
= 100 / 2
= 100 ÷ 2 / 2 ÷ 2
= 50 / 1
= 50
EASIER UNDERSTANDING….
= 25 + 25 + 25 + 25 / 2 + 0
= 50 + 50 / 2 + 0
= 100 / 2
= 100 ÷ 2
= 50
Therefore, your answer is: 50
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please help! Will mark brainlyest.
Answer:
It would be the last one
Step-by-step explanation:
doing a practice test, what is -7/2-(5/8+1/4) ?
Answer:
4.375
Step-by-step explanation:
Answer:
-4.375
Step-by-step explanation:
7/2=3.5
1/4=0.25
5/8=0.625
5/8+1/4=0.875
-7/2-(5/8+1/4)= -4.375
A $55 shirt is on sale for 35% off what is the sale price?
Answer:
$35.75
Step-by-step explanation:
35%=35/100
35/100x55=19.25
55-19.25=35.75
According to the line plot, what is the total weight gained by the dogs that gained 1/8 f a pound or 3/4 of a pound?
A. 2 1/2 pounds
B. 3 1/2 pounds
C. 5 pounds
D. 3 1/8 pounds
According to the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound is C. 5 pounds.
What is a line plot?A line plot is a graph that uses check marks above a number line, to show the frequency of each value.
In this line plot, the addition of the weights gained by dogs that gained ¹/₈ of a pound or ³/₄ of a pound shows the total.
The quantity of weight in pounds gained by the dogs that gained ¹/₈ of a pound = 1
The quantity of weight in pounds gained by the dogs that gained ¹/₄ of a pound = 2
The quantity of weight in pounds gained by the dogs that gained ³/₈ of a pound = 2
The quantity of weight in pounds gained by the dogs that gained ¹/₂ of a pound = 3
The quantity of weight in pounds gained by the dogs that gained ³/₄ of a pound = 4
Thus, based on the line plot, the total weight gained by the dogs that gained ¹/₈ of a pound or ³/₄ of a pound = 5 (1 + 4)
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What is the answer to 25% of 50
Answer:
12.5
Step-by-step explanation:
.25 x 50= 12.5