Write an equation for the line in point-slope and slope-intercept forms.
Passes through (2, -4) and has a slope of -1.
Answer: It should be -(x - 2)
Step-by-step explanation:
the reason is this right here
y - y1 = m(x - x1)
y1 = 4
x1 = 2
m = -1
y - 4 = -(x - 2)
point-slope form: y-y₁ = m (x-x₁)
=============
y -(-4) = -1(x-2)y + 4 = -1(x-2)slope-intercept form: y = mx + b
============
y + 4 = -1(x-2)y + 4 = -x + 2y = -x + 2-4y = -x -2Your car averages 31 mph on the highway, but the actual mileage varies from average by at most 5 mph. What is your range of mileage?
Answer:
26-36
Step-by-step explanation:
If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.
Hope this helps! :)
Can anyone solve this correctly?
Answer:
A.[tex]200.96 \: {ft}^{2}[/tex]
Step-by-step explanation:
Corral is circular in shape.
Radius of the corral would be be the distance from the post to the edge of the corral.
-> r = 8 ft
[tex]A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} [/tex]
i need help plsss !!!!!!
Answer:
I think the 2nd and the forth
I can’t figure out the answer
Answer:
B
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{\frac{a}{b} }[/tex] × [tex]\sqrt{\frac{c}{d} }[/tex] = [tex]\sqrt{\frac{ab}{cd} }[/tex] , then
[tex]\sqrt{\frac{3x}{2} }[/tex] × [tex]\sqrt{\frac{x}{6} }[/tex]
= [tex]\sqrt{\frac{3x^2}{12} }[/tex]
= [tex]\sqrt{\frac{3x^2}{3(4)} }[/tex]
= [tex]\sqrt{\frac{x^2}{4} }[/tex]
= [tex]\frac{\sqrt{x^2} }{\sqrt{4} }[/tex]
= [tex]\frac{x}{2}[/tex]
Ed and Fay shared £330 in the ratio 7 : 4
Ed gives Fay some of his money.
Fay now has the same amount as Ed.
How much does Ed give Fay?
Ed must give Fay a total of £45 for both to have the same amount of money.
How to solve ratioTotal = £330
Ed = 7Fay = 4Total ratio = 7 + 4= 11
Ed share = 7/11 × 330
= £210
Fay share = 4/11 × 330
= £120
For Ed and Fay to have the same amount of money, their share must be exactly half of £330.
That is, they must each have £330/2
= £165
Fay:
£165 - £120 = £45
Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.
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a. yes, reflection across y=x
b. no
c. yes, rotation 180
d. yes, translation up 3 units
Answer:
A
filler filler filler
solve the inequality 8x > 48
Step-by-step explanation:
[tex] = 8x > 48[/tex]
Now , divide both side by the same number...
[tex] = 8x \div 8 > 48 \div 8[/tex]
[tex] = x > 6[/tex]
Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:
90
100
10
95
Answer:
100
Step-by-step explanation:
What is the slope of the line 5y = 2x - 15?
Answer:
2/5x
Step-by-step explanation:
The equation of a line in slope intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
1) Rearrange the terms so it matches y = mx + b. In this case, it is already rearranged.
5y = 2x - 15
2) Divide the terms by 5.
y = 2/5x - 3
Answer:
2/5 is the slope of the line 5y = 2x - 15
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept.
5y = 2x - 15
Divide both sides by 5.
y = 2/5x - 3
2/5 =m
2/5=slope
Simplify.
23+4⋅8
40
80
96
160
HELP HELP HELP !!!!!!!!!!!!
Answer:
40 is answer follow me I give you the answer
Answer:
40 i think
Step-by-step explanation:
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Rewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit.
Answer:
[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]
Step-by-step explanation:
The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
We have given the equation,
2x²+2y²-8x + 10y+2 = 0
Divide by 2,
x²+y²-4x + 5y+1 = 0
Arranging the terms to make a complete square of variable x and y.
x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4
(x-2)²+ (y + 5/2)² = 37/4
This is the form of a circle.
Use this form to determine the center and radius of the circle.
(x−h)²+(y−k)²=r²
Match the values in this circle to those of the standard form.
The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.
r=(√37) / 4, h=2, k= -5/2
The center of the circle is found at (h,k).
Center: (2, -5/2)
Therefore, center: (2, -5/2), radius: (√37) / 4
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From their location in the diagram, what are two possible values for n and m?
A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.
m=3.3, n=−14
m=−2, n=−62
m=6, n=−43
m=−38, n=12
Concentric circle simply means the circle that has a common center or axis.
What is a concentric circle?Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.
An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:
(x - h)² + (y - k)² = r².
In conclusion, when two circles have same center, they're called concentric circles.
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Suppose Gina can spend a maximum of $150 for fabric for her project. To the nearest tenth, how many yards of each type of fabric could she buy? Write your answer as an inequality. Show your work.
The length restrictions for each fabric are described by the following inequalities:
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
How to determine an inequation related to the quantity of yards bought
In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:
BatikC = 9 · n (1)
LinenC = 8 · n (2)
Now we proceed to determine the maximum possible amount of fabric:
Batikn = 150/9
n = 16.67 yd
Linenn = 150/8
n = 18.75 yd
The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)
Batik0 ≤ n ≤ 16.67 yd
Linen0 ≤ n ≤ 18.75 yd
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What is the value of x? *
150
Х
4x
15
Answer:
Hope it helps you.......
Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now
Answer:
11500
Step-by-step explanation:
15÷100 = 0.15
0.15 × 10000 = 1500
10000 + 1500 = 11500
Which number is equivalent to
0.0020635?
A 2.635 x 102
C 2.0635 x 102
B 2.635 x 10-3
D 2.0635 x 103
Answer:
2.635 x 10-3
Step-by-step explanation:
Since 0.0020635 has 3 zeros on the left of 2 then the power on 10 needs to be 3. AND since the zeros are in the left of 2 not right of 2, the power needs to be negative. So, 10^-3
I REALLY REALLY NEED HELP!!! CANT FIGURE THIS OUT!! GIVING BRAINLIEST TO BEST ANSWER! IM DESPERATE!!
Write a story that could represent the math problem in the picture. You can do itttt!
Here is a story problem that can go with this:
There was [tex]\frac{3}{4}[/tex] of the cake left after the party. Matthew ate [tex]\frac{2}{6}[/tex] of the leftover cake. How much of the cake did Matthew have?
Answer:
See below ↓
Step-by-step explanation:
There were 24 ice cream cones of different flavors for sale. Marcos buys 3/4 of them and Angelo buys 2/6 of them from Marcos. What is the fraction of the flavors Angelo bought?
Which decimal is equal to 3/5?
0.25
0.3
0.4
0.6
0.75
Answer:
.6
Step-by-step explanation:
We want to get the denominator to 10
3/5 * 2/2 = 6/10
The decimal equivalent is
.6
name this polynomial:-14
Answer:
monomial
Step-by-step explanation:
monomial eg 14 , x , 15x , -50 , -70x
help fast!! (no links please.)
Answer:
C) 3
Step-by-step explanation:
Plug in the values on c and d and solve
((3)^2 + (2)^2) - 2((3)^2 - (2)^2)
Solve inside the parenthesis first
(9+4) - 2(9-4) = (13) - 2(5)
Distribute the 2 and solve
13 - 10 = 3
Find the zeros of the function p(x) = -9x^2 + 1
Answer:
Zeros: 1/3 and -1/3
Step-by-step explanation:
You can solve this for the zeros by using the factoring method:
p(x) = (-3x-1)(3x-1)
Then, you take each factored equation and set it equal to zero:
-3x-1=0
3x-1=0
Then, solve for zero:
-3x=1 x=-1/3
3x=1 x=1/3
Your zeros are 1/3 and -1/3.
What is the following product?
(~/14 - 3)(/12 +7)
O 2N/42+7N/2-6-/21
O 14-6+N7
• 26 + /21 -/15-/10
2,/42 - 21
Option A
If f(x) = 8 – 10x and g(x) = 5x 4, what is the value of (fg)(–2)? –196 –168 22 78
After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.
What is Function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.
f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?
Replace x in each equation with -2:
f(x) = 8 -10(-2) = 8 +20 = 28
g(x) = 5(-2) + 4 = -10 + 4 = -6
Now multiply the two"
28 * -6 = -168
The answer is -168
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If you are using algebra tiles to factor a trinomial of the form ax2 bx c, when would you need to bring in zero pairs? why?
If the value of c is negative then zero pairs are required to mimic the polynomial factorization.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
If you are using algebra tiles to factor a trinomial of the form
[tex]\rm ax^2 + bx + c[/tex]
If the value of c is negative, zero pairs are required to mimic the polynomial factorization.
The constants in the factors are determined by the x-tiles on the board.
Because the product of these constants equals the value of c, you'll need positive x-tiles on one side and negative x-tiles on the other side of the x-squared tile to have opposite signs on the constants.
When multiplying the components, opposite signs on the constants will result in a negative value for c.
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Answer:
Sample Response: If the value of c is negative, you would need zero pairs to model the factorization of the polynomial. The x-tiles on the board determine what the constants are in the factors. The product of these constants is equal to the value of c, so you would need positive tiles on one side of the x-squared tile and negative x-tiles on the other side to have opposite signs on the constants. Opposite signs on the constants will result in a negative value for c when multiplying the factors.
Step-by-step explanation:
When darryl and his family moved to the city, there were 133 retail stores. use the equation to predict what year darryl’s family moved to the city.
According to the information, the year Darryl and his family arrived in the city was 2001.
How to calculate the year that Darryl and her family moved to the city?To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.
y = 11x + 12133 = 11x + 12133 - 12 = 11x121 = 11x121 ÷ 11 = x11 = xAccording to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.
Note: This question is incomplete because the options and image are missing. Here is the complete information:
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pls answer quick. i will award brainliest!
23 = y* 5 -2 what is y?
Answer:
5
Step-by-step explanation:
[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]
Jerry observed 5 heads in 100 tosses of his coin. Do you think this was a fair coin? Why or why not?
Tossing of the coin by Jerry is an illustration of probability
The coin is not a fair coin
How to determine if the coin is fair?The sample space of a toss of coin is:
S = {H, T}
This means that the probability of head is:
P(H) = 0.5
In 100 toss, the expected number of heads is:
E(x) = 0.5 * 100
E(x) = 50
This means that the number of head in 100 toss should be close to 50
5 head in 100 tosses is not close to the expected value
Hence, the coin is not a fair coin
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During the movie norma ate 3 handfuls of snack mix and brennan ate 1 3/8 handfuls how much more did norma eat?
1.625 more handfuls
Explanation:To start, we know that Norma ate 3 handfuls
n (Norma) = 3
Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls
b (Brennan) = 1.375
To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.
An equation for this (if it helps) would be
n - b = x
To solve, substitute the values to find x
In conclusion, Norma ate 1.625 more handfuls than Brennan
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