The vertex of the function f(x) = |x + 8| - 3 is (-8, -3).
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an absolute value function,
f(x) = |x + 8| – 3
For a function of the form,
f(X) = a |x - h| + k, the vertex of the function is the point (h, k).
Comparing the equation with the given one,
f(x) = |x + 8| – 3
f(x) = |x - (-8)| + (-3)
So we get, h = -8 and k = -3.
So vertex is (-8, -3).
Hence the vertex is (-8, -3).
Learn more about Absolute Value functions here :
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Solve the simultaneous equations
y – x = 3
y = 7x
Answer:
x=1/2, y=3 1/2
Step-by-step explanation:
substitute y=7x into y-x=3
7x - x = 3
6x = 3
x=1/2
y=7(1/2)
y=3 1/2
After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Alex pay total, including tax and the tip?
Alex's will pay a total of $99.86
Step-by-step explanation:
Tax Rate:
$78.00+8%
8% of $78.00=6.24
78.00+6.24=84.24
Tip:
20% of 78.00=15.6
Total:
(Bill+Tax) 84.24+(Tip)15.6=$99.86
Use the distributive property to expand (simplify): 5(12mu - 7v)
Answer:
60mu - 35vStep-by-step explanation:
You disturbute 5 into the 12 and add mu and your answer and distribute 5 into the 7 and keep the v with your answer.Hopes this works.[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{The \textbf{distributive property} states the following:}[/tex]
[tex].\qquad\bullet\sf{a(b+c)=ab+ac}[/tex]
[tex]\textsf{So we take a number or a variable \textbf{a} and distribute it by multiplying it times b and c}[/tex]
[tex]\textsf{Now we simplify.}[/tex]
[tex]\textsf{5(12mu-7v)=5*12mu-5*7v=60mu-35v}[/tex]
[tex]\Large\textsf{\textbf{Answer: 60mu-35v}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{Reflection - RoSe}}}^\star_\star[/tex]
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answer
32
Step-by-step explanation:
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the square below is being reduced by a scale factor of one-third. what is the perimeter of the new drawing
Answer:
one side = 3cm
Step-by-step explanation:
S.f=1/3
1 side=9÷3 = 3
please help with these problems!! It’s getting really late and they’re due !!
Answer:
b = 9 inches
Step-by-step explanation:
Given that,
The area of triangle LMN = 36 inch²
The height of the triangle, h = 8 inches
We need to find the base of the triangle. The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\b=\dfrac{2A}{h}\\\\b=\dfrac{2\times 36}{8}\\\\b=9\ inches[/tex]
So, the base of the triangle is equal to 9 inches.
please help !! urgent ! :(
Answer:
a = 15
Step-by-step explanation:
The formula to solve for the above diagram is given as:
Sum of the interior angles in a circle = 360°
(10a - 4)° + (6a - 2)° + (8a + 6)° = 360°
10a - 4 + 6a - 2 + 8a + 6 = 360
24a -6 + 6 = 360°
24a = 360
a = 360/24
a = 15
Find the pattern and use it to list the next two terms in the sequence.
-53, - 45, – 37, - 29,
-53, -45, -37, - 29,
-21, -13. the pattern is adding 8 . example: -37+8=-29
A rectangular prism has a width of 8inches a length of 15inches and a height of 6inches what is the volume ofprism
Answer: 720 inches
Step-by-step explanation:
To find volume of a rectangular prism, we need to multiply L x W x H , so we would do-
15 x 8 x 6 and get 720in
Answer: Fre.e points :^
Step-by-step explanation: Ty *bows* u-u
Answer plsss........
1. x+12
2. x-8
3. 3*x
4. x^(2)+5
5. (x/2)+7
6. 4*(x+6)
7. (1/2)*x
8. 2x+8
9. x^(2)+3
10. (x/3)+12
Additional activity
1. 2-50
2.20/4=5
3.100-50=50
4.three times two then add to four equals ten
5. the diffrence of eight and four
If a linear function has a slope of 3 and a y- intercept of -6 what is the equation of the graph of the function in slope - intercept form
Answer:
y=3x-6
Step-by-step explanation:
formula for alope intercept for is
y=mx+b
m is slope
b is y-intercept
Someone help me please!! It is Timed!!! Brainiest if answered correctly!!!! No link, reported if posted!!!!
A circular fountain has a drain in the center. The distance from the drain to the edge of the fountain is 3 feet. What is the circumference of the fountain? Round your answer to the nearest tenth of a foot.
Answer:
18.8 feet
Step-by-step explanation:
Since the drain is in the center, the distance between the drain and the edge is the radius of the circular fountain.
Use the circumference formula: C = 2[tex]\pi[/tex]r, and plug in 3 as r (the radius).
C = 2[tex]\pi[/tex]r
C = 2[tex]\pi[/tex](3)
Solve for C:
C = 6[tex]\pi[/tex]
C = 18.8
So, the circumference of the fountain is approximately 18.8 feet
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below. What is the volume of Zara's sandwich? Show your work.
B. What is the surface area of Zara's sandwich? Show your work.
C. Zara cuts her sandwich in half down the middle, dividing it into two equal pieces. She then stacks one half of the sandwich on top of the other, as shown below.
which of the following has no solution
7. In the box plot below, which quarter of the data has the greatest spread of numbers?
A. 1st
B.2nd
C.3rd
D.4th
Answer:
Step-by-step explanation: number 1
PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.
Answer:
Step-by-step explanation:
This is very easy watch
x^2-16x+ __
what do we do to find the blank?
We divide 16 by 2 to get 8
then we take the square of 8
which is 64
so this would be x^2-16x+ 64 = 64
REMEMBER 64 goes to BOTH sides of equation
Please help answer these, thank you
Please help I have been stuck for a while now
Answer:
D
Step-by-step explanation:
The line-of best fit is where a line would be drawn if there was one. The line goes through the majority of the dots and doesn't touch the outliers. Also the line is strait.
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
Which would be the next step?
Answer:
∠ABD =∠DBC (CPCTC)
∠ABC is composed of ∠ ABD and ∠DBC . Since they are equal, BD bisects the ∠ABC
Find the area of a parallelogram. If base = 24 cm; height= 15 cm
Find the area of a rectangle. If length = 12 cm; height= 3 cm.
Find the area of a rectangle. If length = 25 cm; height= 4 cm.
Find the area of a square. If one side measures 16 cm. *
6. Find the area of a square. If one side measures 100 cm. *
7. Find the area of a triangle. If base is 24 cm; height = 3. *
8. Find the area of a circle. If the diameter is 10 cm . *
9. Find the area of a circle. If the radius is 7 cm . *
10 . Find the area of a semicircle. If the radius is 4 cm . *
Answer:
1. 360 , 2.36, 3.100, 4.256, 5.10000 , 6.72,
After 6 days, the mass m, in grams, of
100 grams of a certain radioactive
element is given by the function
m(t) = 100(0.97). To the nearest percent,
what is the weekly decay rate of the
element?
A 3%
C 21%
B 19%
D 81%
Answer:
3%
Step-by-step explanation:
Sorry I have no step by step explanation at this time.
Find the approximate perimeter of the trapezoid? PLSSS HELPPP
Answer:
49
Step-by-step explanation:
side 1 = |18-3|= 15
side 2 = |12-3| = 9
side 3 = |16-4| = 12
side 4: [tex]\sqrt{(18-12)^2 + (4-16)^2} \\ \sqrt{36+144} \\ = \sqrt{180} \\ = 13,4[/tex]
perimeter = 15 + 9 + 12 + 13,4= 49,4 = 49
Are the expressions equivalent? Select all that apply.
A:3n + 2 - 4n and 2 - n
B:5(3x + 2) and 15x + 10
C:2(r×r×r) and 6r
D:-8(2z – 3) and -16z - 3
y varies directly as x if y is 2 when x is 8 then the constant of variation is 1/4
a.true
b.false
Answer:
a. True.
Step-by-step explanation:
y = kx
y = 2 when x = 8 gives:
2 = 8 * k
k = 2/8 = 1/4.
Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?
Answer:
I think it's 38
Roger decides to buy a new printer. He wants a printer which prints the most pages per minute (ppm). Printer A can print up to
33
pages per minute, which can be modeled with the equation
p
=
33
m
where
p
represents the number of pages and
m
represents the number of minutes passed. The rate at which the second printer functions is shown in the table.
Which printer should Roger choose, and how many more pages a minute will he be able to print?
Printer A;
5
more pages per minute
Printer A; 5 more pages per minute
Printer B;
2
more pages per minute
Printer B; 2 more pages per minute
Printer B;
5
more pages per minute
Printer B; 5 more pages per minute
It does not matter; both printers print at the same rate.
It does not matter; both printers print at the same rate.
Answer:
That's alot of words its kinda hard to understand
Which of the following expressions is this one equivalent to?
(x4 – 2x3 – x+2) / (x3 - 1)
A. X-2
O B. x2-1
O c. x2+x+1
O D. x2 + 3x + 2
Answer:
option A
Step-by-step explanation:
(X - 2) is the answer
hope it helps
Help with this pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease lol
Answer:
6- D
4- A
3- A
Step-by-step explanation:
Answer:
6. = D
4. = A
Step-by-step explanation:
6. 2(2.5)= 5
4(2.5)= 10
6(2.5) =15
9(2.5) is not 21 its 22.5
4. 125÷5 = 25