Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Tell 3 numbers that are less than 2 and greater than −1.
Answer:
0 and 1 and -2 and -3
Step-by-step explanation:
Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12
Answer:
(2 , -3)
Step-by-step explanation:
7x +2y = 8
-5x - 2 = -12
The only method that uses addition/subtraction is elimination
5(7x + 2y = 8)
7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)
(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*
35x + 10y = 40
-35x = 70
10y = -30
y = -3
substitute y into original equation
7x + 2 (-3) = 8
7x - 6 = 8
7x = 14
x = 2
(2 , -3 )
Answer:
Step-by-step explanation:
Add 5x to both sides to isolate -2:
-5x + 5x - 2 = -12 + 5x
-2 = -12 + 5x
Add 12 to both sides to isolate the 5x:
-2 + 12 = -12 + 12 + 5x
10 = 5x
Divide both sides by 5:
[tex]\frac{5x}{5} = 10 \div 5\\[/tex]
x = 2
Substitute this value into the first equation:
7x + 2y = 8
7(2) + 2y = 8
14 + 2y = 8
Subtract 14 from both sides:
14 - 14 + 2y = 8 - 14
2y = -6
Divide both sides by 2:
2y ÷ 2 = -6 ÷ 2
y = -3
So the coordinate set is:
(2, -3)
Hope this helps!
A board is 6 feet 4 inches long. How long is the board in inches?
1ft = 12 in
Answer:
76 inches
Step-by-step explanation:
6x12 = 72
72+4 = 76
Answer:
It would be 76 inches!
Step-by-step explanation:
Six times 12 = 72
72+4 = 76
Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).
Answer:
see explanation
Step-by-step explanation:
The following statements are true
The domain of f(x) is all real numbers
The range of f(x) is all real numbers
f(2) = 4
locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then
f(2) = 4
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
the answer is 4 since 4 is common in all the three digits
B).4
Need some help for Exponents.
1) Five squared
2) Eight to the 5th power
3) Nine cubed
4) 2 x 2 x 2 x 2
5) 7 x 7 x 7 x 7 x 7 x 7
6) 2.3 x 2.3
Find the value of each of the following:
7) 54
8) 132
9) (1.2)2
10) 180
11) 10002
12) 72 x 70
Critical Thinking Applications
13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.
14) Create an application problem similar to the one above. Solve your problem. Explain each step.
15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.
16) Create and solve 5 problems using exponents.
Answer:
1) 25
2) 32,768
3) 729
4) 16 or 2^4
5) 117,649 or 7^6
6) 5.29 or 2.3^2
Not sure what 7-12 mean
13) 1 mile 64-63=1
14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37
15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.
16) 8^5= 32,768 6^6= 46,656 5^7= 78,125 5^5= 3,125 4^10= 1,048,576
Step-by-step explanation:
Work out
(
7
×
10
−
3
)
−
(
4
×
10
−
5
)
Give your answer in standard form.
Answer:
32
let me know if its correct!
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
List three negative numbers that are greater than -9
Answer:
use these and choose 3 your welcome
What are the values of m and n
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
Please help, I'm supposed to graph the equations and label the intersection point, it's due this week-
100x + 150y = 3,050
x + y = 23
Step-by-step explanation:
x=54/1
y=56/4
because 50y=2820
what is 3x-4y= -24 answer
Answer:
The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )
I will mark brainliest. Only REAL ANSWERS PLEASE!!!
Answer:
y > -4
Step-by-step explanation:
The line almost intercepts at the point -4, but it is slightly above it, meaning Y is bigger (>) than -4.
Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.
Answer:
change = 100y -np
Step-by-step explanation:
The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.
The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.
Her change will be the difference between what she offered in payment and what she owes.
change = 100y -np
I desperately need this answer. Thank You so much and have a great day
Answer: D.25
Step-by-step explanation:
Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.
2(10)+5
2(10)=20
20+5+25
Answer:
25
Step-by-step explanation:
Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.
p(10)=2(10)+5
p(10)=20+5
p(10)=25
Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
Please help me please 38
Answer:
8 inches
Step-by-step explanation:
Area of a triangle:
[tex]a=bh/2[/tex]
We're given 2 variables already, area and base, so we just need to plug those in and solve for the 3rd variable.
[tex]40=10h/2\\40=5h\\8 = h\\h = 8[/tex]
Answer:
8
Step-by-step explanation:
a right triangle is half of a square, so (10*8)/2=10*4=40.
The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?
Answer:
First truck = x
Second truck = y
x + 35 = y
x = 2/3y
So
2/3y +35=y
1/3y = 35
y = 35*3
y = 105
And ,
x = 2/3y = 70
The first truck carry 70 tons while the second carry 105 tons
Let the amount the first truck can carry be xLet the amount the second can carry be y
If the first truck carries 35 tons less rice than the second truck, then;
x = y - 35
If the number of paddy in the first truck is 2/3 of the amount in the second truck
x = 2/3 y
Equate both to have:
2/3 y = y - 35
2/3y - y = -35
-y/3 = -35
y = 105
Since x = 2/3 y
x = 2/3 * 105
x = 70
Hence the first truck carry 70 tons while the second carry 105 tons
Laern more on equations here: https://brainly.com/question/16863577
The transformation shown is a rotation.
true or false
Answer:
True
Step-by-step explanation:
Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!
r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.
Month # Rainfall (millimeters)
111 145145145
222 135.8135.8135, point, 8
333 179.1179.1179, point, 1
444 171171171
555 64.864.864, point, 8
666 12.612.612, point, 6
777 8.48.48, point, 4
888 8.98.98, point, 9
999 15.715.715, point, 7
101010 29.529.529, point, 5
111111 83.883.883, point, 8
121212 142.6142.6142, point, 6
Which number type is more appropriate for the domain of rrr?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Integers
(Choice B)
B
Real numbers
What's the appropriate domain?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0\le m\le 179.10≤m≤179.10, is less than or equal to, m, is less than or eq
Answer:
Integers
1</ M </ 12
Step-by-step explanation:
Khan Aacademy
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Answer:
fraction 1/4. decimal 0.25 percent 25%
Step-by-step explanation:
5:20=5/20=1/4
1/4 is 0.25
the percentage is 25% aftr multiplying the decimal by 100%
How much water can the large water hold?
Answer:
700 ml
Step-by-step explanation:
If the 15cm bottle holds 500ml of water, you can create the ratio of 15:500, which simplifies to 3:100.
Since the second bottle is 21cm, you find 21:x.
Because you already have 3:100 as given from the first bottle, if you multiply both sides by 7 you get 21:700.
This means the second bottle holds 700ml.
Answer:
700 mi of water
Step-by-step explanation:
We can divide 21 by 15 to how many times greater they are to each other
21÷15=1.4
Since the 15 cm bottle of water can hold 500 mi we multiply 500 • 1.4 = 700mi
Brainliest please
Does anybody have the answer to this???? Thank You
Answer:
Step-by-step explanation:
h(4)=2w+3
4=2w+3
Collect like terms (c. I. T)
4-3=2w
1=2w
Divide both sides by 2(d.b.s)
1/2=2w/2
0.5=w
h=0.5w
.
1/2 of David's money is
2/3 of Henry's money.
(a) Express David's money as a fraction of Henry's money
Answer:
80
Step-by-step explanation:
math
THEN c. If a || band line c is parallel to line a, then line b and c are?
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helpsIs the point (3,2) a solution of the equation?
Step-by-step explanation:
no cause 3/2 can't be changed
What is the product of 2x + y and 5x - y + 3?
answer: 10x² - y² + 3xy + 6x + 3y
What is the perimeter of PQR? Show your work.
Answer:
They are similar triangles so the sides are equal
3y-2=y+4
2y=6
y=3
so we can insert y=3 to calculate the side length
3y-2=3*3-2=7=PR side
calculate the perimeter:
4+6+7=17ft
Step-by-step explanation:
Add the lengths.of all sides together
4+6+(3y-2)
= 4+6+3y-2
=8+3y ft