Answer:
y = -2x + 7
Explanation:
y = mx + b
m = slope
b = y-intercept
y = a given y coordinate
x = a corresponding x coordinate
First, we need to find the slope (m).
1) (4, -1)
2) (2/3)
m = slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{3-(-1)}{2-4}[/tex] = [tex]\frac{4}{-2}[/tex] = -2
plug in the values to the equation y = mx + b
-1 = -2(4) + b
-1 = -8 + b
7 = b
now, we can substitute in m and b into the equation y = mx + b
y = -2x + 7
Which expressions are equivalent to 2x + 5x − 9x?
A. 7x + 9x and 16x
B. 7x − 9x and 2x
C. 7x − 9x and −2x
D. 2x + 4x and 6x
Answer:
C. 7x-9x and -2x
Step-by-step explanation:
Combine like terms and simplify
2x+5x-9x
7x-9x
-2x
A rectangular prism has a width of x cm. Its length is 3 cm more than its width, and its height is 4 cm more than its length. Write an algebraic expression, in simplified form, for the volume of the prism.
Answer:
Step-by-step explanation:
Width: x
Length: x + 3
Height: x + 3 + 4 = x + 7
Volume of prism = area of cross section x length
Area of cross section = width x height = x ( x + 7 ) = x² + 7x
Volume = (x + 4) x (x² + 7x)
= x³ + 7x² + 4x² + 28x
= x³ + 11x² + 28x
The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].
What is volume?Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.
How to calculate volume?We know that volume of rectangular prism is L*B*H.
We have been given that width is x cm.
According to question length will be x+3,
Height will be x+3+4
=x+7
Volume will be =x(x+3)(x+7)
Multiply the expressions,
=x([tex]x^{2}[/tex]+3x+7x+21)
=x([tex]x^{2}[/tex]+10x+21)
=[tex]x^{3} +10x^{2} +21x[/tex]
Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].
Learn more about volume at https://brainly.com/question/463363
#SPJ2
There is a line that includes that point (-6,3)and has a slope of 1/10 . What is its equation in point-slope form?
Answer:
y = 1/10 x + 18/5
Step-by-step explanation:
The general form of the equation of a line is given as
y = mx + c where m is the slope and c is the intercept
For a line with given points (x1, y1), the equation is given as
y-y1 = m(x-x1)
Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line
y - 3 = 1/10(x --6)
multiply both sides by 10
10y - 30 = x + 6
Rearrange
10y = x + 6 + 30
10y = x + 36
y = 1/10 x + 36/10
y = 1/10 x + 18/5
simplify √7/18 please help
√14/7
√14/6
√6/14
Answer:
14/6
Step-by-step explanation:
Use the long division method to find the result when 4x^3+18x^2+22x+54x 3 +18x 2 +22x+5 is divided by 2x+52x+5.
Answer:
2x² + 4x + 1
Step-by-step explanation:
Given the question :
4x^3+18x^2+22x+5 divided by 2x+ 5
Dividend = 4x^3+18x^2+22x+5
Divisor = 2x + 5
In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
⅔n - 5 = ⅓n + 7
⅓n = 12
n = 36
PLS HELP DUE IN 5 MINS
Write an equation in slope intercept form for the line that passes through (-2,3) and is parallel to the graph of y=-3/4x+4
Answer:
When the equation parallel the graph then the measure of the equation is - 3/4
Then the equation is y=-3/4x+c
By using the point(-2,3)
[tex] y = \frac{ - 3}{4} x + c \\ 3 = \frac{ - 3}{4} \times - 2 + c \\ 12 = 6 + 4c \\ 4c = 6 \\ c = \frac{3}{2} [/tex]
Then the equation is
[tex]y = \frac{ - 3}{4} x + \frac{3}{2} [/tex]
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
what's a real world scenario that would use sine to solve?
Answer:
Radio waves, tides, musical tones, electrical currents
2(x + 10) = 26
Solve for x
Answer:
3
Step-by-step explanation:
PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes
Answer:
6 hours and 25 minutes
Step-by-step explanation:
10:15 to 4:40 = 6 hours and 25 minutes
Solve for X. Round to the nearest tenth.
29
18
Answer:
x = 30.5
Step-by-step explanation:
cos(18º) = 29/x
Multiply both sides by x and divide both sides by cos(18º) to get
x = 29/cos(18º)
x = 30.5
Kaylee and her friends are going into a bakery. How much would it cost to buy 1 donut and 5 cookies if each donut costs $2.00 and each cookie costs $1.25? How much would it cost to buy 11 donuts and 55 cookies if each donut cost \$d$d and each cookie cost \$c?$c?
I need the work as well
Answer:
$90.75
Step-by-step explanation:
$2 (for each donut) x 11 (the number of donuts they want
=22
Then
$1.25(for each cookie) x 55 (the number of cookie they want)
=$68.75 +$22
=90.75
-k/3 = 9
answer = ??
Answer:
-k=9×3
-k=27
God luck friend
Ely was asked to draw a line of best fit threw the given scatterplot. He put a point at (0, 0) and (7, 7) and drew a line through them and said it was the line of best fit for the data. Part A: Explain why Ely's line is NOT the best fit. Part B: What would be a better line of best fit for the scatter plot? Part C: How does the actual line of best fit compare with Ely's line?
Answer:
still need help ?
Step-by-step explanation:
What is the volume of the cone in the diagram
Item 2
What is the volume of this rectangular prism?
26 cubic feet
35 cubic feet
50 cubic feet
105 cubic feet
rectangular prism that is 7 feet by 3 feet by 5 feet
is the answer not 105 cubic feet
help please!! graphs and functions
HELP Describe the graph for the solution for the following inequality
Answer:
Closed circle going right
Step-by-step explanation:
There are 4 empty brown bags on the table with four extra pieces
of candy sitting outside the box. How many pieces of candy will
be allocated to each bag if there was a total of 36 pieces of candy?
Answer:
it would be 9
Step-by-step explanation:
One year ago Claire was 4 feet 6 inches tall. Now Claire is 4 feet 10 inches tall. By what percentage did Claire's height increase?
Answer:
7.4 percent
Step-by-step explanation:
Convert both measurements to inches.
4 feet 6 inches = 54 inches
4 feet 10 inches = 58 inches
Formula for Percent of Increase:
%
o
f
I
n
c
r
e
a
s
e
=
Difference
Original
⋅
100
58 - 54
54
⋅
100
4
54
⋅
100
7.407407
...
%
or about
7.4
%
PLLZZZZZZZ HEEEEEELPPP
Answer:
it is the 4th button choose that one the side v pointing to the right
Step-by-step explanation:
Help pppppppppppppppPPPPPPPP
Answer:
39
Step-by-step explanation:
if you square 15 and 36 you get
225+1296=1521
1521 square rooted is 39
Answer:
39
Step-by-step explanation:
15² +36² =1521
√1521 = 39
What is the coefficient of y in the expression 4x + y + 8 A(1) B(0) C(2) D(3)
Step-by-step explanation:
the the coefficient of y in the above expression is A(1)
Can anyone help me with this?
Answer:
307.5
Explanation:
First 65 x 10.50 then 990-682.5
Help pls!
What is the quotient 3/4 and 5/6
3/4
9/10
1 1/9
4 1/2
Answer:
9/10
Step-by-step explanation:
To divide by 5/6, invert 5/6, obtaining 6/5, and then multiply:
3 6
------ * ----- = 18/20 = 9/10 (same as the 2nd possible answer)
4 5
please help me with this math problem!!!!!
Answer:
Step-by-step explanation:
[tex]\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ[/tex]
What is the solution set for x > -1
Answer:
Whole number set
Step-by-step explanation:
x > -1 means grater than (-1)
x = {0 ,1,2,3 ......}
Between which two consecutive whole numbers does √14 fall on the number line? Pls awnser
Answer:
3 and 4
Step-by-step explanation:
Can anyone help me with this math question
Answer:
89 seats are not being used
Step-by-step explanation:
You subtract the seats being used by teachers
342 - 75 =267
Change 2/3 into a percentage = 66.6%
Find 66.6% of 267= 177.8 (I rounded up to 178)
Then subtract 177.8/178 from 267 to find the amount of seats not being used.
The amount of seats not being used would come down to 89 seats.
I hope this helps!