Answer:
y=4(x-3)
Step-by-step explanation:
if x=3, subtract 3 from each side to get x-3=0
point (4, 4). That is, when x=4, y=4.
Plug those in and solve for a.
y=a(x-3)
4=a(4-3)
4=a(1)
4=a
Thus,
y=4(x-3)
Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.
Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
[tex]Scale = Length : Width[/tex]
For the painting,
[tex]Scale = 20: 16[/tex]
For the frame,
[tex]Scale = 15: w[/tex]
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
[tex]15 : w = 20 : 16[/tex]
Express as fraction
[tex]\frac{w}{15} = \frac{16}{20}[/tex]
[tex]\frac{w}{15} = 0.8[/tex]
Make w the subject
[tex]w = 15 * 0.8[/tex]
[tex]w = 12[/tex]
The width of the frame must be 12 inches i.e. 15in by 12in frame
Tom walks 2.12 km to the park he then walks a further 670 to the shop how many km has Tom walked in total
Answer:
672.12
Step-by-step explanation:
6.) Convert the following linear equation into slope-intercept form.
4x + 3y = 9
Answer:
[tex]y=\frac{-4}{3} +9[/tex]
Step-by-step explanation:
Slope-intercept form is y-mx+b. To find slope-intercept form solve for y.
First, subtract 4x from both sides,
3y=-4x+9
Then, divide both sides by 3,
y=-4/3x+3
3) Raeana is twice as old as Madeline, and Laura is 10 years older than Raeana.
If Laura is 50 years old, how old is Madeline? Let m represent Madeline's age in
years, and let r represent Raeana's age in years.
Answer:
M = 20; R = 40
Step-by-step explanation:
R = 2M
L = R + 10
L = 50
50 = R + 10
(Take away 10 from both sides)
50 - 10 = 40
40 = R
Remember, R = 2M
40 = 2M
(Divide both sides by 2)
40 / 2 = 20
20 = M
Mark and Henry win some money and share it in the ratio 4:3. Mark gets £9 more than Henry. How much did they get altogether?
what is the area of a circle with a radius of 10
Answer: A≈314.16
Step-by-step explanation: A=πr2=π·102≈314.15927
The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1
Answer:
The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.
Step-by-step explanation:
Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.
Which two equations are equivalent to: 3(3x - 2) = 5(2x + 4) 9x - 6 = 10x + 20
A:9x - 6 = 10x + 20
B:3x - 2 = 2x + 4
C:-26 = x
D:3x _ 4 = -26
Answer:
C. -26=x
Step-by-step explanation:
3(3x-2)=5(2x+4)
9x-6=10x+20
9x-10x=20+6
-x=26
-x/-1=26/-1
x= -26
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
Answer:
350 hours
Step-by-step explanation:
a yogurt shop offers 6 different flavors of frozen yogurt and 8 different toppings. how many choices are possible for a single serving of frozen yogurt with one topping.
the options are
A. 36
B. 48
C. 20,160
D. 64
Answer:
36
Step-by-step explanation:
yes it may be gets 48 flavoure
Select each expression that is equivalent to 4(x + 8)
4x + 32
4x + 8
2x + 4 + 2x + 4
4x + 8(4)
2(2x + 16)
Answer:
4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
Step-by-step explanation:
4(x + 8)
4 × x + 4 × 8
4x + 32
Thus, 4(x + 8) is equivalent to 4x + 32, 4x + 8(4),
2(2x + 16)
-TheUnknownScientist
What is the figure shown below?
N
м.
A...line
B..line segment
C..ray
Answer:
c its Ray I looked on goggle and I looked up Ray and it showed a picture of that
Answer:
Its a ray I didnt need to look it up cause I alr did this before
What is the volume of a rectangular prism
8 inches long, 5 inches wide, and 2 inches high?
Answer:
132 Cubic Inches, Search up how to find the the surface area for rectangular prism it helps!
What is the value of x if p(x)=-48. Please use this function: 3/4 x
u need to do 111111155151515151515151515151
Please helppppp me What’s the answer?
Answer:
She shaded above the line when she should have shaded below the line.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
anyone know if this is right?
Answer:
f(x) = 2(4^x)
Step-by-step explanation:
Look at x = 0 in the table. It corresponds to f(x) = 2.
Now look at your answer:
f(x) = 4^x
Use x = 0:
f(0) = 4^0 = 1, but the table has f(0) = 2, so your answer is not correct.
Notice the numbers in the f(x) column. They are 2, 8, 32, 128.
Notice that they are 2 times perfect squares.
2 = 2 * 1
8 = 2 * 4
32 = 2 * 16
128 = 2 * 64
Try
f(x) = 2(4^x)
Now you have
f(0) = 2(4^0) = 2 * 1 = 2
f(1) = 2(4^1) = 2 * 4 = 8
f(2) = 2(4^2) = 2 * 16 = 32
f(3) = 2(4^3) = 2 * 64 = 128
and all the given points work.
Answer: f(x) = 2(4^x)
help please
Lindiwe suspected that the relationship between temperature and electricity consumption is not linear for all temperatures. She collected data for peak temperatures down to 0°C as shown in the graph.
Which of the following projections is MOST accurate?
A.
When the peak temperature is 40°C, 35 units of electricity are used on average.
B.
When the peak temperature is 40°C, 72 units of electricity are used on average.
C.
When the peak temperature is 40°C, 48 units of electricity are used on average.
D.
When the peak temperature is 40°C, 120 units of electricity are used on average.
Answer:
B. When the peak temperature is 40°C, 72 units of electricity are used on average.Step-by-step explanation:
We see the relationship is closer to linear in the interval 30 to 40
Approximate points:
(30, 34) and (34, 54)The slope of the line:
m = (54 - 34)/(34- 30) = 20/4 = 5The line is:
y - 34 = 5(x - 30)y = 5x - 116At x = 40, the value of y would be:
y = 5*40 - 116 = 84The closet option is B
Can someone find the answer to this and not put a link out
Answer: B
Step-by-step explanation:
A glass prism on a chandelier is 57 millimeters long. A base of the prism is an
equilateral triangle with side lengths of 8 millimeters and a height of about 5.2
millimeters. What is the approximate surface area of the prism?
Pleasee help!!
Answer:
1410 mm²Step-by-step explanation:
Given triangle prism with:
a = 8mm, h = 5.2 mm, l = 57 mmTotal surface area:
S = Pl + ah = 3al + ah = a(3l + h)S = 8(3*57 + 5.2) = 1409.6 mm² ≈ 1410 mm²The measure of <E , the angle of elevation from point A to point B, is (3x+1)". The measure of <D.
the angle of depression from point B to pointA, is 2(x+8). Find the measure of each angle.
m<E = 22⁰, m<D = 30°
m<E = 15⁰, m<D=15°
m<E = 46°, m<D = 46°
m<E = 52⁰, m<D= 50°
Answer:
last answer choice
Step-by-step explanation:
The perimeter of a square P depends on the length of its sides S this can be written in function notation as P( s) what is the best interpretation of p(3)=12
Answer:
Step-by-step explanation:
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is side²
We have,
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
i.e
Since the function P is defined as the perimeter of the square in terms of its side length S,
We can substitute S = 3 into the function and get P(3) = 12.
This means that the sum of the four sides of the square when its length is 3 units is equal to 12 units.
Thus,
The best interpretation of P(3) = 12 is that if the length of the sides of the square is 3 units, then the perimeter of the square is 12 units.
Learn more about squares here:
https://brainly.com/question/22964077
#SPJ2
Which gives all the solutions of the equation x2 – 2x + 1 = 0?
Find the value of x*
(3x + 6)
48°
Answer:
48°+3x +6° = 90°
54°+x = 90°
x = 90°-54°
x = 36°
can someone help me with this prooblem
Answer:
9.85
Step-by-step explanation:
I hate these, LOL
We're going to draw a triangle on the graph paper to solve this. (in theory)
The top point is at 2 on the x axis, and the bottom is at 6. That's a difference of 4. Draw a line from the top dot over 4 spaces, so a line dropped from there could go straight to the bottom dot. We'll call this line/side of the triangle a, and a = 4.
Then we drop the line from there (6, 4) down to the second dot at (6, -5). That line is 9 places long. We'll call this line/side of the triangle b, and b = 9.
(This is so much easier to draw than type, I'll attach a picture).
Then we connect the two dots diagonally to form line/side c of our triangle. This is the length we don't know.
The pythagorean theorem says a^2 + b^2 = c^2
So a = 4, b = 9, c is unknown for our triangle
(4)(4) + (9)(9) = c^2
16 + 81 = 97
The square root of 97 = 9.8488, so if they have you round, I would say 9.85
Sorry if this just confused you more.
A triangle has three angles that measure 20 degrees. 60 degrees and
(3x - 25). What is the value of x? Please help due in 10 minutes
all triangles have 180 total degrees, we know this
80 degrees are accounted for, so there's 100 left
3x - 25 = 100
3x = 125
x = 41.67
(PLEASE HELP!! AND NO LINKS OR I WILL REPORT YOU!)
Answer:
10x + 15
Step-by-step explanation:
x - 1 = 1 (2).
x + 4 x 10x + 15 / 2.445
x + 4 (2) / 2.445 = x1 - 4
10x + 15
The original selling price of a jacket was s dollars. The selling price was then changed on two occasions by the store owner. Its price is now represented by 0.85(1.4s). Which expression could explain what happened to the price of the jacket
A)The price was increased by 40% and then decreased by 85%.
B) The price was increased by 40% and then decreased by 15%.
C)The price was increased by 40% and then decreased by 0.15%.
D) The price was increased by 140% and then decreased by 85%.
Answer:
D
Step-by-step explanation:
D) The price was increased by 140% and then decreased by 85%.
Answer:
B
Step-by-step explanation:
The price was only increased by 40% because for example, the starting price was 100, then if you increased it by 140% or $140, then the price would be 240.
next, the decreased by 15% and not 85% because 100% - 15% = 85%
simplify the expression
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-4 + (-1) - (-3) = -2
From 5x2 - 6x + 8, subtract 3x2 - 2x - 4.
A.
2x2 + 6x - 12
B.
2x2 - 6x + 12
C.
-2x2 + 4x - 12
D.
2x2 - 4x + 12
Answer:
D. 2x² - 4x + 12
Step-by-step explanation:
5x² - 6x + 8
-3x² - 2x - 4
-__________
2x² - 4x + 12
Jackie wants to save at least $16 a week from her paycheck. Which inequality can be used to solve how many weeks until she has saved $200?
Answer:
n ≥ 12.5 weeks
Step-by-step explanation:
Weekly savings = at least $16
n = number of weeks
At least in inequality means ≥
16n ≥ 200
n ≥ 200/16
n ≥ 12.5 weeks
12.5 weeks until she has saved $200