The function f(h) = 45h + 80 of the computer repair is a linear function
45 represents the hourly rate80 represents the base costThe value of h means 3 hoursWhat 45 and 80 represents?A linear function is represented as:
f(h) = mh + c
Where:
m represents the rate; m = 45b represents the base cost or y-intercept; y = 80By comparison;
45 represents the hourly rate and 80 represents the base cost
How to calculate h?
We have:
f(h) = 45h + 80
When f(h) = 215, the function becomes
45h + 80 = 215
Subtract 80 from both sides
45h = 135
Divide both sides by 45
h = 3
Hence, the value of h means 3 hours
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Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2
units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6
Answer:y=x^2 translated 3 to the right gives
y=(x-3)^2, the vertex shifts from (0,0) to (3,0)
translate it 4 up by adding 4
y=(x-3)^2 + 4, this shifts the vertex up to (3,4)
f(x) = (x-3)^2 + 4 or call it
g(x) = (x-3)^2 + 4 if you want to distinguish it from the original f(x) function
Step-by-step explanation:In this question we have been given a function f(x) = |x|
When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|
And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2
Therefore the given graph in option B is the correct option.
Find the sum of the first 21 terms of the arithmetic progression.
−7, −11, −15, . . .
We are given with an AP (Arithmetic Progression) with first term being -7, and the common difference being the difference between any succeding term from any term and the term itself, so common difference = -11 - (-7) = -11 + 7 = -4, so now before finding the sum of 21 terms, let's recall that ;
[tex]{\boxed{\bf{S_{n}=\dfrac{n}{2}\{2a+(n-1)d\}}}}[/tex]Where, d is the common difference, a is the first term, and n is the number of terms and [tex]{\bf S_n}[/tex], being the sum of n terms, so putting all the values in the formula, we will have ;
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}\{2\times -7+(21-1)-4\}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21}{2}(-8+20\times -4)}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-8-80)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=\dfrac{21(-88)}{2}}[/tex]
[tex]{:\implies \quad \sf S_{21}=-21\times 44}[/tex]
[tex]{:\implies \quad \boxed{\bf{S_{21}=-924}}}[/tex]
in addition to the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS criterion?
A . AC=DE
B. m
C.BC=EF
D. m
Answer:
BC = FE
Step-by-step explanation:
given ,
BA = FD and the measure of angle ABC = the measure of angle DFE
If we have BC = FE then according to the SAS criterion the two triangles are congruent
If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?
O -1
O 3/2
O 41/8
O23
Answer:
the answer is 3/2........
Mai and her sister are planting a garden.They made 2 plant beds.one was 4 feet by 3 feet and the other 5 feet by 5 feet.they want to outline the beds with bricks that are 1foot long.How many bricks will they need to outline both beds?
Answer:
27 bricks
Step-by-step explanation:
find the perimeter of the first one, 4 x 3 = 12. Then the perimeter of the second one, 5 x 5 = 25. Therefore 12 + 15 = 27. Meaning you need 27 bricks
Area of each triangle
Answer:
I only know the answer to second triangle only
As area is equal to half base * alltitude
So put the value in the formula
We get
24
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
4. There are two numbers that add together and the result is 63. If you subtract the same number together, the result is 28.
a) Create two equations from the statement above. Make sure to specify what each variable means.
b) Solve the system of equations by Elimination.
Answer:
45.5 and 17.5
Step-by-step explanation:
a)
Let Number 1 be X and Number 2 be YX + Y = 63X - Y = 28b)
From adding 1. and 2. ,2X = 91X = 45.5Y = 63 - 45.5 = 17.5Park
Avenue
Describe the lines that intersect at Park Avenue and Hawthome Boulevard. Explain.
Answer:
make it clearer
Step-by-step explanation:
14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data
Answer:
Mean: 12.9
Mode: 14,15
Median: 14
Step-by-step explanation:
i need help 100 points for a question
Answer:
34.28 ftStep-by-step explanation:
Find the length of semicircle
C = πd, circumference of circleC/2 = πd/2 = 3.14*4/2 = 6.28 ftFind the perimeter
P = 4 + 6.28 + 2*12 = 34.28 ftFor rectangle
L=12B=4Perimeter:-
2(L+B)2(12+4)2(16)32ftFor semicircle:-
radius=r=4/2=2ftPerimeter:-
πr2π6.28ftTotal:-
6.28+32-438.28-434.28ftwhat is the median mean mode and range of 1,3,5,8,10?
Answer: median: 5
mode: 5.4
Range: 9
Step-by-step explanation:
Median: middle of the numbers
Mode: Add them all together and divide by number of terms
Range: Most minus least
solve for the missing side
please be quick
Answer:
x=5
Step-by-step explanation:
12^2+x^2=13^2
144+x^2=169
x^2=169-144
x^2=25
x=5
Answer:
5in
Step-by-step explanation:
Sides known=12,13
According to Pythagoras theorem
H²=P²+B²
(13)²=(12)²+(x)²
169=144+x²
169-144=x²
25=x²
x=√25
x=5in
PLS MARK IT AS BRAINLIEST
1 point
2. Three boards are unloaded into the factory.
А
B
С
Board A is three times the length of board C, plus 5 inches. Board B is two
times the length of board C, plus 3 inches. The total length of all three boards
is 104 inches. How long is each board?
Your answer
??
which has a greater magnitude 17 ft above sea level or 11 ft
Answer:
1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.
Step-by-step explanation:
Hope This Helps
5 divided by 2 1/7
Simplest form
Answer: 2 1/3
Step-by-step explanation:
We first convert this to mixed number: 5/1 / 15/7
Then cross cancel and factor to get 7/3.
Lastly we convert this back to a mixed number.
So we get 2 1/3 or 0.667 (decimal)
can someone help me really please
Answer:
5/6
Step-by-step explanation:
since there already is a common denominator all you have to do is add the numerators
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer:
The slope of the line is -1
Step-by-step explanation:
You need to use the slope formula
Slope Formula: y2 - y1 / x2 - x1
**The numbers represent subscripts but the subscripts aren't on computers**
Your Coordinate Points:
(7, -3) and (3, -7)
Do -7 - (-3) / 3-7
First, do -7 - (-3)
The negatives cancel to an addition problem.
-7 + 3
Now do -7 + 3. This is a subtraction problem that should be negative.
-7 + 3 = -4
Next, do 3 - 7
That should be 4
-4/4 is what we have right now.
Do -4 divided by 4 which has to contain a negative.
That is simply -1.
The slope of the line is -1
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain and show your work.
ANSWER BOTH PARTS YOU MAY GET EXTRA POINTS!
Step-by-step explanation:
1) if the initial figure ABCD, then the figure A'B'C'D' is reduction of the initial one.
2) the scale factor is 0.5: the ratio of all the corresponded coordinates is 2:1 [D(8;4) - D'(4;2); C(4;0)-C'(2;0); B(0;-2)-B'(0;-1) and A(-4;4)-A'(-2;2)].
Mark the quadrilaterals ABcD and A'B'C'D'
The image is reduced in size hence it's reduction
Take 2 sides two calculate scale factor
AD=12unitsA'D'=6unitsScale factor:-
6/121/2HELP ME OUT PLS!!!!!!!
1) Why was the narrator surprised when she walked to the carnival?
A) She heard noises coming from the park.
B) She saw shadows on the walls of the tent.
C) The moonlight lit up the streets in the town.
D) It seemed as if she was alone on the streets.
Solve for x: 3 (square root2-2x)+1=13
Answer:
x=7
Step-by-step explanation:
3√(2-2x) + 1 = 13
subtract 1 from both sides
3√(2-2x) = 12
Divide 3 from both sides
√2-2x= 4
square both sides
2-2x = 16
subtract 2 from both sides
2x= 14
x=7
A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600?
Answer:
$ 62 244
Step-by-step explanation:
Commission = .09 * 691600 =
HELP!Use elimination method to solve the system of equations please fast
Answer:
x=1/4 Y=-1/2 z=1/3
Step-by-step explanation:
due to large fractions the answer is explained in the image above
Enter the solution (x, y) to the system of equations shown.
y=4x−3
y=−x−13
Answer:
x=-2
y=-11
Step-by-step explanation:
4x-3=-x-13
5x-3=-13
5x=-10
x=-2
y=4(-2)-3
y=-11
What is the area of the obtuse triangle given below?
6, 18
Answer:
54
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (6)(18)
A = 1/2 (108)
A = 54
Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.
A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.
The area of triangle is 1/2×Base×Height
Half base times of height
Area of triangle=1/2×6×18
=54 square units
Area is 54 square units.
Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
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Using the formula S = P(1 + r)t, where P is the original principal, r is the annual interest rate, and t is the number of years, what is the investment savings, S, if P = $14,500.00, r = 7.5%, and t = 5 years?
[tex]~~~~~~ \textit{Savings Earned Amount} \\\\ S=P\left(1+r\right)^{t} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$14500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years\dotfill &5 \end{cases} \\\\\\ S=14500\left(1+0.075\right)^{5}\implies S=14500(1.075)^5\implies A\approx 20816.63[/tex]
express secA in terms of tanA
Answer:
[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Step-by-step explanation:
[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
if p + 2q = 40 find Q when p = 16
Plug in the value of p:-
16+2q=40
Subtract 16 from both sides:-
2q=40-16
2q=24
Divide both sides by 2:-
q=12 ✓
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Find the slope of
the line.
[?]
Give your answer as
a fraction in simplest
form.
Answer:
hi
7/14
I am sure is that
Answer:
slope is 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives up y=1/2x
giving branly to the frist one to answer and give the best and right answer
Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0, 6).
Explain Paul’s mistake and write the
correct ordered pair for the new location of............................ your answer
Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Initially, researching the problem on the internet, it is found that the market is at position (3,8).
Then, it was shifted 2 units left and 3 units down, hence the new position is given by:
(3 - 2, 8 - 3) = (1,5).
His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).
More can be learned about translation concepts at https://brainly.com/question/4521517
Last year, Handy Hardware
Store sold 45,078 bolts and
5,011,542 nails. How many more
nails did the store sell than bolts?
Answer:
5,011,542 nails - 45,078 bolts = 4,966,464 more nails sold than bolts
Step-by-step explanation:
