Estimate 73,784-32,863 by first rounding each number to the nearest thousand
The Original Price of an item is $150.00. It is on sale for 30% off. You also have a store coupon for 10% off of the sale price. What will you pay?
Answer:
$94.50
Step-by-step explanation:
150 x .30 = 45, so you can $45 off.
105 x .1 = 10.5 so you can take another $10.50 off.
The final price would be $94.50
transforming quadratic graphs
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16Which one is greater 10.20 or 10.02?
Answer:
10.20 is the greater one
Answer:
10.20
Step-by-step explanation:
Becuase that has .18 more than 10.02. Hope this helps
i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.
Answer:
y-intercept: 5
slope: 1/2
Step-by-step explanation:
The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.
First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).
Which statement about the dilation of these triangles is true?
The scale factor is
The scale factor is 2
The scale factor is 3.
The scale factor is 4.
Answer
when 2 triangle scales are similar the ration reduces and become a scale factor
Answer:
The scale factor is 2
Step-by-step explanation:
Helppp me faststttttt plzzzzz
Answer:
Step-by-step explanation:
x + 25 + 4x + 10 = 180
5x + 35 = 180
5x = 145
x = 29
<1 = 29 + 25 = 54
<2= 4(29) + 10 = 116 + 10 = 126
What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?
The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
It is given that a point (6,-2) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (6,-2) is rotated 90° counterclockwise about origin.
Let's assume (6,-2) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
(6 , -2) = (-2,6)
So ;
The new point will be ;
= (-2 , 6)
Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
To learn more about rotation clockwise click here ;
https://brainly.com/question/12551582
#SPJ2
How are fractals developed
Answer:
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. ... Abstract fractals – such as the Mandelbrot Set – can be generated by a computer calculating a simple equation over and over.
Step-by-step explanation:
help please this is due in a few minutes!!
Jacob makes a scale drawing for a crate with a scale factor of 1:20 the dimitions of his scale drawing is 3 in long and 2 in wide the bulder creates a scale drawing of the crate with the scale factor of 1:10. What are the dimitions of the builders drawing?
Answer:
6 in long ; 4 in wide
Step-by-step explanation:
With a scale of 1:20
Scaled drawing is 3 in long ; 2 in wide
Actual dimension :
Length = 20 * 3 = 60 in
Width = 20 * 2 = 40 in
Hence, to make a scaled drawing using 1 :10
Dimension :
Length = (1/10) * 60 = 6 inches
Width = (1/10) * 40 = 4 inches
A similarity transformation consisting of a reflection
and a dilation is performed on a figure, and one point maps to itself. Explain how this can happen.
If the point in question is on the line of reflection, then the point won't move. Any point on a line of reflection stays where it is.
If that same point is the center of dilation, then it also doesn't move. The center of dilation is the only point that doesn't move in a dilation.
So the two conditions are:
The point must be on the line of reflectionThe point must be the center of dilationThese two facts mean that the line of reflection must go through the center of dilation.
2x+3y=12 Complete the missing value in the solution to the equation. (_,8) I NEED HELP QUICK
Answer:
-6 is the missing value.....
Answer:
(-6, 8); the missing value is -6
Step-by-step explanation:
First, you need to solve the given equation for x
1: 2x + 3y = 12 (Given)
2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)
3: x = -1.5y + 6 (Divide both sides by 2)
Now, you can solve for the missing x in the solution set (x, 8):
where x = -1.5y + 6 and y = 8,
x = -1.5(8) + 6
x = -12 + 6
x = -6
So, the missing value is -6
Consider the system
y= 4x-3
y= x+3
because she may be.sto probably ok so yeah
An architect draws a plan for a wheelchair ramp on the plan, the ramp is 2cm high and 24cm long what might the dimensions of the actual ramp be (use equivalent ratios)
Answer:
[tex]Height = 30cm[/tex]
[tex]Length = 360cm[/tex]
Step-by-step explanation:
Given
Scale Measurement
[tex]Height = 2cm[/tex]
[tex]Length = 24cm[/tex]
Required
Determine the possible actual measurement
First, calculate the equivalent ratio.
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{24cm}{2cm}[/tex]
[tex]Ratio = 12[/tex]
To do this, we pick a scale factor.
Assume the scale factor is 15.
The actual measurement will be:
[tex]Height = 2cm * 15[/tex]
[tex]Height = 30cm[/tex]
[tex]Length = 24cm * 15[/tex]
[tex]Length = 360cm[/tex]
When the scale ratio is calculated, we have:
[tex]Ratio = \frac{Length}{Height}[/tex]
[tex]Ratio = \frac{360cm}{30cm}[/tex]
[tex]Ratio = 12[/tex]
Note that both have the same equivalent ratios of 12.
So, whatever the scale ratio you use, the equivalent ratio will be the same
Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!
Answer:
its 12
Step-by-step explanation:
12 oz
Answer:
22.5/3
Step-by-step explanation:
Hey, the idea is to set up an equation that you can solve
36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left
Now just solve for how much tea is in each cup.
36-13.5 = 3(X)
3X = 22.5
x = 22.5/3
Is this correct?
:'(
Answer:
I think that's right cus I did this test
write an expression where h is doubled then increased by 20%
2h*0.2
2h is h doubled
20% becomes 0.2
Pls help quickly!!!!!!!!!!!!!!!
Answer:
hmm. I would say right.
Step-by-step explanation:
The angle when you flip your triangle is 90 degrees.
Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
What is the measure of
Answer:
The measure of ∠G is 59°
Step-by-step explanation:
When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.
In the given figure
∵ GT is a secant that intersects the circle at points H and T
∵ GE is a secant that intersects the circle at points F and E
∴ The intercepted arcs are HF and TE
∵ GT ∩ GE at G
∵ Point G is outside the circle
→ By using the rule above
∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)
∵ m arc TE = 175°
∵ m arc HF = 57°
→ Substitute them in the rule above
∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)
∴ m∠G = 59
∴ The measure of ∠G is 59°
-2.4x+3.8x-x please helpppp
Answer:
0.4x
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
-2.4x + 3.8x - x
Step 2: Simplify
Combine like terms: 1.4x - xCombine like terms: 0.4xi need help on this plz
a. b. c. d. ???
Answer:
I'm pretty sure the answer is B
In which diagram are angles 1 and 2 vertical angles?
Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6.
Answer:
- 35/78Step-by-step explanation:
The quotient of
5/6÷ (-13/7) =5/6×(-7/13) =- 35/78A kukura puzzle on my math homework plz help
Answer:
i have no clue ngl but online theres websites that will solve them for you
Step-by-step explanation:
if you want a link lmk lol
Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?
A bically orginally priced at 225 was marked down 30 % after a week, the bicycle was marked down another 15% off the sale price what are the sale prices of the bike after each discount
Answer:
Kapdweswq DAWFDGEADAEF DAC E FEWAFWED EW DCQFFF
Step-by-step explanation:
Sfweqrwrrf wqwf q fewqfwqefw f wqfqwefqw
Answer:
45% or -45% decrease
Step-by-step explanation:
Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
If 4 marbles are selected at random, what is the probability you will get exactly 1 purple?
*Note, write your answer as the most reduced fraction possible.
For example 1/3 NOT 6/18.
Answer:
3/4
Step-by-step explanation:
Please help me out!
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2