Given that the points (12, –4) and (–36, 8) lie on a line, what is the equation of the line?
The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points expressed as (12, –4) and (–36, 8)
Get the slope:
m = 8+4/-36-12
m = 12/-48
m = -1/4
Get the y-intercept "b"
Recall that y = mx + b
8 = -1/4(-36) + b
8 = 9 + b
b = 8 - 9
b = -1
Get the required equation.
Recall that y = mx + b
y = -1/2 x + (-1)
y = -1/2 x - 1
Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
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Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].
Answer:
the funtion does not satisfies the hypothese f(a)=f(b), just because when evaluate f(0) = 1 and when evaluate f(2) = 11,
Create and solve another problem about Jeremiah and his lemonade stand which requires multiplying decimals
Answer:
116 ounces
Step-by-step explanation:
Hope this helps.
20000 divided by 2 x 56 x 7898 - 100
First to Answer gets brainliest!!!
NO LINKS PLEASE!!!!
Answer:
0.0226122585576093
Please explain why 31% is the answer
9514 1404 393
Answer:
b) 31%
Step-by-step explanation:
95% of the normal distribution is between Z values of ±1.96.
99% of the normal distribution is between Z values of ±2.576.
The change from a 95% interval to a 99% interval widens the range by ...
(2.576/1.96 -1) × 100% ≈ 31.4%
The width of the interval increases about 31%.
__
Compare the two attachments. The tail area of 0.05 means the central area is 0.95. Similarly, the tail area of 0.01 means the central area is 0.99.
_____
Additional comment
As always, when you're dealing with percentages, you need to understand what the base value is. Here, when we're talking about 95% and 99% confidence intervals, we're not talking about the numbers 0.95 and 0.99 and the increase from 0.95 to 0.99.
Rather we're talking about areas under the normal probability distribution curve, and the Z-values associated with those intervals. The change in interval width refers to the change in Z-values associated with the areas of 0.95 and 0.99.
Find the value of 15625 × (-2) + (-15625) × 98
Answer:
-1562500
Step-by-step explanation:
15625 × (-2) + (-15625) × 98 = -31250 + (-1531250)
= -31250 - 1531250
= -1562500
Answer:
[tex]-1562500[/tex]
Step-by-step explanation:
[tex]5625\left(-2\right)+\left(-15625\right)\times \:98[/tex]
[tex]15625\left(-2\right)[/tex]
[tex]=-31250[/tex]
[tex]15625\times \:98[/tex]
[tex]=1531250[/tex]
[tex]-31250-1531250[/tex]
[tex]-1562500[/tex]
I need the answer ASAP
Answer:
It would be 120 inches squared.
Step-by-step explanation:
12 x 8 = 96
6 x 4 = 24 / 2 = 12
12 x 2 = 24
96 + 24 = 120 inches squared
Answer: 80 in 2 cm
Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.
Can’t figure it out pls help
Answer:
45, 45
Step-by-step explanation:
the corner shows that is a right angle with 90 degrees. the 4 lines going through each side tell me all the sides are the same.
all 3 angles added together equals 180
the other 2 corners have the same value
90 + x + y = 180
x and y are the same since all sides are the same and the right angle is present.
both are 45
4. 4^6x4^3
4^9 4^18 12^9 64^9
How much is does 8×10 equal to?
Answer:
80
Step-by-step explanation:
8x10= 80
solve the system x+2y-5z=10, y+2z=2, z=-1
Answer:
x=-3,y =4 z=-1
Step-by-step explanation:
x+2y-5z=10
y+2z=2
z=-1
Since z = -1, substitute into the second equation
y + 2(-1)=2
y -2 =2
y = 2+2
y=4
We can substitute into the first equation
x+2(4) -5(-1) =10
x+8+5=10
x+13 = 10
x = 10-13
x=-3
Simplify: answer in the box
Answer:
I got 24x^2 over x^2+7x+10
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74
A rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is square feet. Reset Next
Answer:
0
Step-by-step explanation:
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Helpp need it now
9.) Find the N' .
1.) {j , u , d , g}
2.) {m , n , t , a , l}
3.) {j , u , d , g , e}
4.) {m , e , n , t , a , l}
10.) Find the N U I.
1.) {m , n , t , a , l}
2.) {j , u , d , g , e}
3.) {m , e , n , t , a , l}
4.) {j , u , d , g , m , e , n , t , a , l}
Answer:
8.) ans {e}
9.) ans {j, u, d, g}
10.) ans {j, u, d, g, m, e, n, t, a, l}
1/5 x 7/8 in simplest form s
Answer:
[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
7/40
Step-by-step explanation:
7 cant go into 40 so it just stays as 7/40
Two angles in a triangle are have the same measurement. The third angle is 12 degrees less than
the first angle. What are the measurements of angle 1, 2 and 3? (hint: you will need to know
how many degrees are in an triangle)
Item 4
Which expressions are equivalent to 1.3−4x−3.7 ?
Select all correct answers.
−0.6−4−x
−4(x+0.6)
−x−x−x−x−2.4
−4x−2.4
Answer:
b,c and d are the answers
Step-by-step explanation:k12
Expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)So, the expressions equivalent to 1.3−4x−3.7 are:
Solve: 1.3−4x−3.7
1.3−4x−3.7- 2.4 - 4xNow, calculate for - 2.4 - 4x:
(A) −0.6−4−x:
-4.6 - x ≠ - 2.4 - 4x(B) −4(x+0.6)
- 2.4 - 4x = - 2.4 - 4x(C) −x−x−x−x−2.4
- 2.4 - 4x = - 2.4 - 4x(D) −4x−2.4
- 2.4 - 4x = - 2.4 - 4xTherefore, expressions (B), (C), and (D) are all equivalent to the given expression 1.3−4x−3.7.
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Correct question:
Which expressions are equivalent to 1.3−4x−3.7?
Select all correct answers.
(A) −0.6−4−x
(B) −4(x+0.6)
(C) −x−x−x−x−2.4
(D) −4x−2.4
choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547
Answer:
A & C
Step-by-step explanation:
Need some help I’m really trying graduate
How to find the length and area of a rectangle?
Length of rectangle: Area÷width
Area: Length×width
please mark BRAINLIEST.
Find the missing value so that the line passing through the points has the given slope.
(7,1) and (x,4); m = 3/4
Answer:
11
Step-by-step explanation:
4-1=3/11-7=4
A Matrix of 1xM is called as ______.
Answer:
row matrix
Step-by-step explanation:
A matrix with only 1xmis called a ______ matrix
Sun company has studied the collection pattern of sales for the past year and management has developed the following collection schedule:
55 percent in the month of sale with a 1 percent discount
30 percent in the month of sale
15 percent in the second month following the sale
Actual sales for past six months are:
January $200,100
February 220,450
March 300,700
April 251,200
May 275,890
June 180,460
Expected sales for the next six months are:
July $175,800
August 194,500
September 186,300
October 210,750
November 349,000
December 375,900
A) Determine the expected cash receipts by the month for July through September
B) Determine the expected cash discounts by month for July through September
C) Determine the expected ending balance of accounts receivable by the month of July through September
A) The determination of the expected cash receipts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% discount 967 1,070 1,025
Net cash sales 95,723 105,905 101,440
30% month 1 52,740 58,350 55,890
15% month 2 27,069 26,370 29,175
Total cash receipts $175,532 $190,625 $186,505
B) The determination of the expected cash discounts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% Cash Discounts $967 $1,070 $1,025
C) The determination of the expected ending balance of accounts receivable from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Ending balance of
Accounts Receivable $26,370 $29,175 $ 27,945
= 15% of July, August, and September Sales
Data and Calculations:
July Aug. Sept. Oct. Nov. Dec.
Expected
Sales $175,800 $194,500 $186,300 $210,750 $349,000 $375,900
Cash (55%) 96,690 106,975 102,465 115,913 191,950 206,745
1% discount 967 1,070 1,025 1,159 1,920 2,067
Net cash sales 95,723 105,905 101,440 114,754 190,030 204,678
30% month 1 52,740 58,350 55,890 63,225 104,700 112,770
15% month 2 27,069 26,370 29,175 27,945 31,613 52,350
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An item is regularly priced at $40. It is on sale for 30% off the regular price. What is the sale price?
40$ - 100% (full price)
x$ - 70% (100-30=70%)
40 * 70 = 100x
2800 = 100x
x = 28
Answer 28$
or
40$ = 100%
then 1% = 40/100 = 0.4$
so 70% will be 0.4 * 70 = 28$
math read please IMA WRITE USELESS WORDS CONTINUE
Find the least common denominator of the two fractions 3/4 over 1/6?
Answer:
(2/12 & 9/12)
Step-by-step explanation:
12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.
( not written by me )
Hi please help me i need it
Answer:
for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19
Factorise fully
8+4g
Answer:
4(2+g)
Step-by-step explanation:
8+4g
Rewriting
4*2 + 4*g
Factor out the 4
4(2+g)