g(x)=1/5x² is the equation for blue graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation of the red quadratic graph is f(x)=x²
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph.
Recall that, when the scale factor is a fraction, such that 0<k<1 the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be k=1/5
Therefore the blue graph has equation g(x)=1/5x²
Hence, g(x)=1/5x² is the equation for blue graph.
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it took jose two-thrids of an hour to complete his math homework on monday,three- fourths of an hour on tuewsday , and two- fifths of an hour on wednesday. how many hours did it take jose to complete his homework altogether
Which of the following lists of side lengths represents a right triangle?
A. 7, 24, 25
B. 3, 6, 9
C. 5, 12, 14
D. 15, 16, 17
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The side lengths of Triangle representing a right angled Triangle is :
[tex]7,24,25[/tex]because , Pythagoras theorem is true for given Side lengths,
that is :
[tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]Answer:
7,24,25
Step-by-step explanation:
Use Pythagorean theorem
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]
[tex]\\ \sf\longmapsto 625=576+49[/tex]
[tex]\\ \sf\longmapsto 625=625[/tex]
[tex]\\ \sf\longmapsto verified[/tex]
The digit 6 in which number represents a value of 6?
Choose 1 answer:
1)906
2)644
3)565
Answer:
1) 906
Step-by-step explanation:
It's in the ones value making it represent the value of 6
Please help! I’ll give brianliest to the correct answer!
Answer:
y = 1.5x + 9
(y = height; x = number of cups)
Step-by-step explanation:
let x = number of cups
let y = height of the stack
the first cup will add 9 to the height (7.5 + 1.5)
so 9 is the y-intercept
for each additional cup, 1.5 will be added
so y = 1.5x + 9
Lindsey spent a total of $47 on her mother for her birthday. She bought a $35 box of chocolates and
some balloons for $4 each. What is x, the number of balloons that Lindsey bought for her mother's
birthday?
This is the math problem
35+4x=47
Explain why is correct the word problem
Answer:
3 ballons
Step-by-step explanation:
47-35=12
4x3=12
What is the cosine ratio of
Answer:
Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle
jack want to buy a coat that cost 74.95 the sales tax rate in his city 61/2% what is the total costfor the coat
Answer:
$79.7468
Step-by-step explanation:
ASAP PLZ
Melissa is driving on the highway at the legal speed of 65 mi/h. She notices there is an accident ahead approximately 200 feet away. Her reaction time is 0.75 of a second. Is she far enough away to bring the car to a safe and complete stop?
*Round your answers to 2 places after the decimal!
1 Reaction distance =
2 Breaking distance =
3 Total Stopping Distance =
4 yes or no
Answer:
You are asked to find the skid distance given the speed,
the drag factor, and the braking efficiency.
Step-by-step explanation:
Use the skid speed formula. S = √
_______
30Dfn
Substitute 50 for S, 1.2 for f,
and 0.9 for n. 50 =√
___________________
30 × D × 1.2 × 0.9
Simplify the expression under the radical. 50 = √
_______
32.4D
Write an equation for the line parallel to the given line that contains C.
C(-1,5); y = 8/9x+2
*
Answer:
y = 8/9x + 53/9
Step-by-step explanation:
5 = 8/9(-1) + b
45/9 = -8/9 + b
b = 53/9
Jerrold ran a race that was 3 5/8 miles long. What is 3 5/8 written as a decimal?
Answer:
3.625
step by step explanation :
I just simply searched it up
-2(x + 3) = -2(x + 1) - 4
Answer:
infinite solution
Step-by-step explanation:
-2 times x is -2x
-2 times 3 is -6
-2 times x is -2x
-2 times 1 is -2
the equation now looks like this:
-2x-6=-2x-2-4
Simplify
-2x-6=-2x-6
0=0
So this is an infinite solution
Hope this helps!
Is it
A) <1 and <3
B) <2 and <6
C) <1 and <2
D) <2 and <8
Answer:
B) Angles <2 and <6
Step-by-step explanation:
They are corresponding angles
Examine the following budget:
Monthly Budget
Budgeted Amount
Actual Amount
Income
Wages
Savings Interest
$1150
$25
$900
$25
Expenses
Rent
Utilities
Food
Cell Phone
Savings for Car
$400
$100
$250
$75
$200
$400
$80
$200
$75
$200
Net Income
$30
What is the actual net income for the month? What, if any, changes would have improved the budget for the month?
a.
The actual net income for the month is -$30. No changes to the budget are necessary.
b.
The actual net income for the month is $30. No changes to the budget are necessary.
c.
The actual net income for the month is $30. More money could have been spent on food.
d.
The actual net income for the month is -$30. Less money could have been spent on food.
Please select the best answer from the choices provided
A
B
C
D
Answer:
Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.
Step-by-step explanation:
Just took the test on Edg. 2021
write (n+4)(n+3)(n+2) as a permutation
Answer:
1267 456 578 123 679 333 5Step-by-step explanation:
yo
Given ∠A and ∠B are vertical angles with m∠A=50x+10 and m∠B=70x−10 .
What is x?
Enter your answer in the box.
10L is repacked into 6DL bottles. how many bottles are filled ??
Answer:
16
Step-by-step explanation:
1L=10DL
10L=100DL
100DL÷6DL=16.67
BRAINLIST!!! SHOW WORK!!!!!
Lines AB and CD are perpendicular to each other. If 3 measures (5x + 2)°, and 4 measures 13°, what is the value of x?
A.
x = 15
B.
x = 77
C.
x = 2
D.
x = 21
Answer:
A is the correct option.
Step-by-step explanation:
Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.
Then,
(5x + 2) ° + 13° = 90°
5x + 15° = 90°
5x = 75°
x = 15°
If f(x) = 3x +9 x when f(x) = 30
Answer:
[tex]x=5/2[/tex]
Step-by-step explanation:
When [tex]f(x)=30[/tex], we have [tex]3x+9x=30[/tex].
Combining like terms on the right side, we have [tex]12x=30[/tex].
Finally, dividing by [tex]12[/tex] we get [tex]x=30/12[/tex].
We note that [tex]30=6*5[/tex] and [tex]12=6*2[/tex], so [tex]30/12=5/2[/tex].
So, [tex]\boxed{x=5/2}[/tex] and we're done!
Help me please ?!?!?!?!?!
Answer:
option 3 left bottom corner
Step-by-step explanation:
PLZ HELP!!
Tim explained a function in words and Paul wrote an equation.
Tim
The amount of money in a savings account increases at a rate of $225 per month. After eight months, the bank account has $4,580 in it.
Paul
y−1,400=56(x+26)
Whose function has the smaller y-intercept?
Tim’s with a y-intercept of $2,700
Paul’s with a y-intercept of $2,856
Paul’s with a y-intercept of $2,800
Tim’s with a y-intercept of $2,780
Answer:
Tim's with a y-intercept of $2,780
Step-by-step explanation:
To find Paul's y-intercept, solve the equation y-1400=56(x+26) for y. Then use the standard format for a linear equation y=mx+b to determine the y-intercept which would be b.
Step 1. Get y by itself by adding 1,400 to both sides.
y-1400 + 1400 = y
56(x+26) + 1400 = 56(x+26) + 1400
New equation y = 56(x+26) + 1400
Step 2. Distribute 56(x+26)
56(x+26) = 56 * x + 56 * 26 = 56x + 1456
New equation y = 56x + 1456 + 1400
Step 3. Simplify.
y = 56x + 2856
Paul's y-intercept would be 2856 because when y=0 x=2856
To Find Tim's y-intercept, subtract 225 * 8 from 4580.
225 * 8 = 1800
4580 - 1800 = 2780
Answer:D or answer 4 or 2,780 dollars.
Step-by-step explanation:
test
What is the solution to this equation?
7- 3√2-x=12
The value of x is -(5 + 3√2).
what is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
7- 3√2-x=12
Now solving
7- 3√2-x=12
Subtract 7 from both side
7- 3√2-x - 7 =12 - 7
- 3√2-x = 5
Now, add 3√2 both side
-3√2 -x + 3√2 = 5 + 3√2
-x= 5 + 3√2
x= -(5 + 3√2)
Hence, the value x is -(5 + 3√2).
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May I please receive help?
Goyxrds?
Answer:
X = 22°
Step-by-step explanation:
A water storage tank is 4 m long, 3 m wide and 2 m deep. How many litres of water will it hold?
Answer:
24 liters
Step-by-step explanation:
2×3×4
guys pls help me!!!!!!!
what are the x and y intercepts of the equation -2x +3y=10
Answer:
Step-by-step explanation:
To find the x-intercept, let y = 0 and solve the resulting equation for x:
-2x + 3(0) = 10, or -2x = 10. This results in x = -5; the x-intercept is (-5, 0).
To find the y-intercept, let x = 0 and solve for y: -2(0) + 3y = 10, or y = 10/3.
The y-intercept is (0, 10/3).
2x/2 = 90/2 pls solve it it
Answer:
x=45
Step-by-step explanation:
2(45)=90
90/2=90/2
find the positive difference between 16 and -2
Answer:
14
Step-by-step explanation:
16-2= 14
Hope this helps!
Does anyone know what type of car this is?
Answer:
I think it is a Toyota I don't remember the model name.
Step-by-step explanation:
Which graph represents the solution to this system of inequalities?
y<-x-3
y> 2x-4
(Please set graph in 10x10 scale)!!(:
Answer:
Heres your answer graphed
Step-by-step explanation:
Factoring with Diagrams
A(x) = x3 – 7x² – 16x +112, You know that
(x-7) is a factor.
x-
х
+3
-7
-72
Check your work
Write A(x) as the product of linear factors.
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112