[tex]y = a |x - h| + k[/tex]
The structure or equation is similar to a quadratic function.
The value of a determines the slope of graph.
Tthe value of h determines the horizontal shift of graph.
The value of k determines the vertical shift of the graph.
From the given equation,
[tex]f(x) = |x - 2| - 7[/tex]
We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).
Answer[tex] \large{(2,-7)}[/tex]
Erica buys a new backpack that has an original price of $50. She uses a coupon that saves her 20% off the original price. How much money did she save? SHOW YOUR WORK!
plsss ined help. 1 what is the common difference and the next thre terms of the sequence. 4, 7, 10, 13, 16, ...
Answer:
They all increase at a rate of 3 (but aren't multiples) and the next 3 are 19, 22, 25
Step-by-step explanation:
To be honest, I don't know a better way to put this than to look at where it starts with 10 and it keeps progressing by 3.
What ratio in simplest form. 36:12
Erica watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 3 of the movie left to watch. How much of the movie did Erica watch at night?
Answer:
1/6 of the movie
Step-by-step explanation:
A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?
Answer:
A
Step-by-step explanation:
Is the correct answer
The perimeter of the polygon after dilation = 27 unit
What is dilation factor?The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.
The perimeter of polygon = 18 unit,
Since, the scaling factor is 3/2,
So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,
Perimeter of polygon = 18×3/2
= 27 unit
The perimeter of the polygon after dilation = 27 unit
To know more about Dilation factor on:
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21x+6y=42
7x+2y=14
For this case we have the following system of equations:
We multiply the second equation by -3:
Thus, we observe that the second equation is equivalent to the first, if we add both we get:
The equality is fulfilled. The lines are on top of each other.
Answer:
Infinite solutions
a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!
Answer:
True
Step-by-step explanation:
opposite is irrational number
WILL GIVE BRAINIEST!!!!
Answer:
A
Step-by-step explanation:
I graphed it
Answer:
The answer is 6y - 7x = 48
If you graph it you will see it is 6y - 7x = 48
Hope this helps!
What is problem number 2??
Answer:
QR
Step-by-step explanation:
The question is just trying to see if you can read the order of the lines.
PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ
Answer
YZ is the second and third letters of xyz.
QR are the 2nd and 3rd letters of PQR
HELP ME PLEASEEEEEEE
Answer:
Step-by-step explanation:
cos o = adjacent side /hypothenuse = OQ / PO
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.
Answer:
874
Step-by-step explanation:
The length of j from the given triangle JKL is 550 cm.
What is cosine rule?The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.
Using cosine rule
j²=k²+l²-2kl.cosJ
j²=430²+590²-2×430×590·cos117°
j²=184900+348100-507400×0.4539
j²=533000-230308.86
j²=302691.14
j=√302691.14
j=550 cm
Therefore, the length of j from the given triangle JKL is 550 cm.
Learn more about the cosine rule here:
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Fill in the blank:
The function is _________ over the interval [3,1].
A. increasing
B. decreasing
C. constant
Answer:
increasing
Step-by-step explanation:
its increasing because it goes back up at a fast rate
Differentiation
Please help me!
Answer:
[tex] \frac{dy}{dx} = - 1 \frac{5}{9} [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
☆ [tex]\frac{1}{x} = x^{ - 1} [/tex]
What is the exact area of a circle having diameter 3 in.?
Answer:
2.25π square inches
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
Show all work:
Write the problem
Inverse operation
Solve
Check
Solve
m - 7 = -10
Answer:
m=-3
Step-by-step explanation:
m - 7 = -10
Ok so,
in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.
m=-3
To check you just need to plug in -3 into the question
Hope this helps! Have a good day
Which of the following correctly graphs the system of equations?
{y=x−3
y=−2x+3
The third one
This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)
explain why 1/12 + 1/2= 7/12
Answer:
1/12 + 1/2 = 1/12 + 6/12 - 1+6/12 = 7/12
Step-by-step explanation:
hope this makes sense
Step-by-step explanation:
1/2 of 12/12 is 6/12.
So, this means: 1/12 + 1/2 = 7/12
is
1/12 + 6/12 = 7/12
what is the best lofi chill song for study
Answer:
"Chilling in a Quiet Park Outside the City" by Cat Paw.
Step-by-step explanation:
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where I is length and w is width. If the length is 2/5 unit and the width is 1/5 a unit, what is the perimeter of the rectangle in units?
3/5
1
1 1/5
2 3/5
Answer:
I think it is 1
Step-by-step explanation:
I am sorry if it is not correct
Four times a number plus three times the number is the same as 14 more than
5 times the number. Find the number.
Answer: Number equals 7
Step-by-step explanation:
4x+3x=5x+14
7x=5x+14
-5x -5x
2x=14
x=7
are 1/2 and 8/16 equivalent rates?
Yes.
8/16 is 1/2 of 16/16
what is the measure of Angle C
Answer:
59
Step-by-step explanation:
(2x-1)+(3x+1)+x=180
6x=180
x=30
((2×30)-1)= 59
Which situation CANNOT be represented by this equation?
- 1x + 15 = 9
Explanation:
The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.
Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.
A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.
Answer:
$169803
Step-by-step explanation:
Given data
rate of decrease = 5.4%
time = 2009-2021= 12years
P= $331,000
Let us apply the compound interest formula
A=P(1-r)^t----------------note the minus sign because this is a decrease
A= 331000(1-0.054)^12
A= 331000(0.946)^12
A= 331000*0.513
A=$169803
Hence the value in 2021 is $169803
The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?
Please help me!!
Answer:
k=1 k= -1
Step-by-step explanation:
hello :
here is an solution
2 Which expression is equivalent to -6(- + 2x)? )? 0 -4- 12x O-4+ 2x 04-12x 0 4+ 12x
Answer:
4+12x
Step-by-step explanation:
basically just adding and subtracting
The expression which is equivalent to -6((-2/3) + 2x) is; 4 - 12x.
Equivalent expressionsThe given expression is;
-6((-2/3) + 2x)Hence, upon expansion and elimination of the parenthesis;.
= -6(-2/3) -6(+2x)Hence, the equivalent expression is; 4 - 12x.
Read more on equivalent expressions;
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sqrt(y^6) = -y^3
y=?
Answer:
they answer is y^6=−y^3
Step-by-step explanation:
Answer:
y^6=−y^3
Step-by-step explanation:
Which of these cannot represent the lengths of the sides of a right triangle?
A.)3 ft, 4 ft, 5 ft
B.)6 in., 8 in., 10 in.
C.)16 cm, 63 cm, 65 cm
D.)8 m, 9 m, 10 m
can you try to solve this plz
Answer:
50 dgrees
Step-by-step explanation:
staruight line is 180 so 180 minus 130 is 50