Find the slope first by using rise/run
[tex]m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}[/tex]
[tex]y=mx+b\\y=\frac{7}{6}x+b[/tex]
We need to find the y-intercept. Substituting one of given ordered pairs. I will use (-2,-1).
Substitute x = -2 and y = -1 in the equation.
[tex]-1=\frac{7}{6}(-2)+b\\-1=\frac{7}{-3}+b\\-1=-\frac{7}{3}+b\\-1+\frac{7}{3}=b\\b=\frac{4}{3}[/tex]
Thus the y-intercept is 4/3.
From y = mx+b, the equation is.
[tex]y=\frac{7}{6}x+\frac{4}{3}[/tex]
Use the Cross Products Property to solve x/35=2/7
Answer:
x/35 = 2/7
x = 2/7 ×35
x = 2×5
x = 10
Answer:
x = 10
Step-by-step explanation:
Equation Solving
A common strategy to solve equations given in a rational form is to eliminate denominators.
If the equation is given in the form:
[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]
We use the cross-product property to make it linear:
cx = ab
And solve it easily by dividing by c.
We are given the equation:
[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]
Cross-multiplying the denominators:
7x = 2*35
Solving:
x = 70/7=10
x = 10
HEY I NEED HEL QUICK!!!
What is the perimeter, in feet, a rectangle whose length is twice its width and whose width is 8 feet?
......................hi
Answer:
hi
Have an amazing day!
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis
Answer:
good for u
Step-by-step explanation:
which property is used in the problem below
2(x+4)=2x+8
Answer:
Distributive property
The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.
Step-by-step explanation:
Answer:God bless you and your family and friends and stay safe and good luck! :)
Step-by-step explanation:
The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
Simplify the expression using the Distributive Property.
½(10x + 20y)
Answer:
Step-by-step explanation:
The distributive property affects both terms.
1/2 * 10x + 1/2 * 20 y
5x + 10 y <===== Answer
Answer:
5x+10y
Step-by-step explanation:
1/2•10= 5
1/2•20= 10
5x+10y
A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
Answer this question please and thank you
Answer:
I think it's 62 :D
Step-by-step explanation:
52 - (-10)= 62
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
What is the slope of the line represented by the equation Y equals 4/5X -3?
-3
-4/5
4/5
3
Answer:
We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y=mx+b[/tex]
here
m is the slopeb is the y-interceptGiven the equation
[tex]y\:=\:\frac{4}{5}x-3[/tex]
comparing with the slope-intercept of the line equation
The slope = m = 4/5
Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
The scatterplot illustrates the relationship between two quantitative variables: the number of seeds planted per square foot and the yield of the crop (in pounds per square foot).
A graph titled Number of Seeds and Crop Yield has seeds (per square foot) on the x-axis, and yard (pounds per square foot) on the y-axis. The points curve up to a point, and then curve back down.
Which of the following is an accurate description of the scatterplot?
Answer:
I cannot confirm answer (D), but it looks correct to me.
Here's the option:
The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square foot is around 60.
ED2021
I put 12 when it was actually 11
Lol help anyone?PLEASE !!
Answer:
B: 1/5 = 4/x
Step-by-step explanation:
1cm = 5km
4cm = 20km
Someone help please thx in advance
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/3Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulatedsnow. During the last snow storm, the snow accumulated at (0.8) inch/hour. If the snow54continues at this rate for hours, how much snow will accumulate?
Answer:
43 inches
Step-by-step explanation:
Accumulation rate per hour = 0.8 inch / hour
If the snow continues at that rate for 54 hours ;
To obtain the amount of snow that will accumulate, we multiply the Accumulation rate per hour by the number of hours given ;
Accumulation rate per hour * number of hours
= 0.8 inch/hour * 54 hours
= 43.2 inches
= 43 inches (nearest whole number)
Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
Please help with math 4r+2+7r
Answer:
11r + 2
Step-by-step explanation:
I combined liked terms which are the r's, then left the 2 alone because you cant combine it with any other number.
What is 3 times 3 +77-23/4
Answer:
80.25
Step-by-step explanation:
A man is 3 times old as his son the sum of their ages is 48 years old.how old is the son
Answer:
The son is 12 years old.
Step-by-step explanation:
When you do 12 multiplied by 3 you get 36. Then you add the 12 and 36 to get 48. This is how you know it is correct.
16 - 3x = 4 + x
solve please
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3
A box is filled with 6 blue cards, 6 brown cards, and 3 green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?
Answer:
60% chance of a blue or green card
Find x to the nearest tenth
Answer:
15.1
Step-by-step explanation: