Answer:
Step-by-step explanation:
The standard form equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). Rearrange each equation into this format.
1. 3x + 2y = 5
2y = -3x+5
y = -(3/2)x+(5/2)
a. I'll pick 2 values of x to find 2 values of y:
x y
2 -0.5
5 -5
b. The slope is -(3/2)
c. The y-intercept is (5/2)
2. 3y - x = 9
y = (1/3)x + 3
a. Pick 2 values of x to calculate y:
x y
2 3.67
5 4.67
b. The slope is (1/3)
c. The y-intercept is +3
Write an equality and then solve it. Sonya is a waitress. She earns $200 a week plus 15% tip in the cost of each meal she serves. What is the least amount of the total cost of the meals she serves in order for her to earn at least $450 each week. Answer this seriously or you’ll be reported
Answer:
$1666.67
Step-by-step explanation:
$450 is the total amount she earned and $200 is the weekly wage she received. That means that $250 came from tips.
$200 + .15 (x) = 450
.15x=250
x=$1666.67
Find the unit rate . Round to the nearest hundredth if necessary .
$420 for 15 tickets
A. $28 per ticket
B. $ 0.04 per ticket
C. $ 405 per ticket
D. $ 840 per 30 ticket
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Hello.
Have a beautiful and joyful day ahead.
Answer:
Step-by-step explanation:
was there a actual question ?
have a good day
tell me whether (-1,2) is a solution of 8x+y>-6
Answer:
(8(-1)+2>-6
-8+2>-6
-6>-6
Step-by-step explanation:
x2 = 10 A)x = ±5 B)x = ±100 C)x = ±3.5 D)x = ±10
help
Answer:
5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. ... Choices B, C, and D are incorrect and may result from errors in applying the.
Step-by-step explanation:
Answer: x=√10 or x=−√10
Step-by-step explanation:
help me please and thank you
How to check 20p+75=35p+30
[tex]20p+75=35p+30[/tex]
Step 1: Subtract [tex]20p[/tex] from both [tex]p[/tex] sides
[tex]\:\:\:\:20p+75=35p+30\\-20\:\:\:\:\:\:\:\:\:\:\:\:-20[/tex]
20 - 20 = 0, so it is canceled out. 35 - 20 = 15, don't forget the [tex]p[/tex]!
[tex]75=15p+30[/tex]
Step 2: Subtract 30 from both sides
[tex]\:\:\:\:75=15p+30\\-30\:\:\:\:\:\:\:\:\:\:\:\:-30[/tex]
30 - 30 = 0, so it is canceled out. 75 - 30 = 45.
[tex]45=15p[/tex]
Step 3: Divide both sides by 15
[tex]\frac{45}{15} =\frac{15p}{15}[/tex]
15 ÷ 15 cancels out. 45 ÷ 15 = 3.
[tex]20p+75=35p+30\quad :\quad \boxed {\bold {p=3}}[/tex]
Answer:
20p+75=35p+30
Step-by-step explanation:
Explain why:
2⁴ = 16.
Answer:
Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.
Step-by-step explanation:
Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,
You're left with 4x4 which is equal to 16.
which list contians three multiples of 3
Answer:
Without any answers, I can't give you information. But if the numbers in the list would be able to be divided by 3, resulting in a whole number - no fractions or decimals - then it's considered a multiple of 3.
Step-by-step explanation:
WHOEVER GETS THIS RIGHT WILL HAVE 60+ POINTS (MATH) NO BAD ANSWERS ORELSE REPORTING
9514 1404 393
Answer:
a. 2x +y = 10; 2x +3y = 22
b. 6 minutes
Step-by-step explanation:
a) The problem statement tells you that ...
x = minutes around the block
y = minutes around the park
2x +y = 10 . . . . twice around the block and once around the park: 10 min
2x +3y = 22 . . . twice around the block and 3 times around the park: 22 min
__
b) Subtracting the first equation from the second gives ...
(2x +3y) -(2x +y) = (22) -(10)
2y = 12 . . . . . . . . simplify
y = 6 . . . . . . . . . divide by 2
It takes you 6 minutes to jog around the park.
Answer:
Part A) The system of equations is
[tex]2x+y=10[/tex]
[tex]2x+3y=22[/tex]
Part B) The number of minutes it takes you to jog around the park is [tex]6[/tex] mins
Explanation:
Part A) Write a system of linear equations
Let [tex]x[/tex] ----> the number of minutes it takes you to jog around the block
Let [tex]y[/tex] ----> the number of minutes it takes you to jog around the park
we know that [tex]2x+y=10[/tex] ----> equation A
and [tex]2x+3y=22[/tex] ----> equation B
Part B) How long does it take you to jog around the park?
Multiply equation A by [tex]-1[/tex] both sides
[tex]-1(2x+y)=-10[/tex] ----> [tex]-2x-y=-10[/tex] ----> equation C
Adds equation B and equation C
[tex]2x+3y=22[/tex]
[tex]-2x-y=-10[/tex]
____________
[tex]3y-y=22-10[/tex]
[tex]2y=12[/tex]
[tex]y=6[/tex] minutes
Find the value of [tex]x[/tex]
[tex]2x+(6)=10[/tex]
[tex]2x=10-6[/tex]
[tex]x=4/2=2[/tex] minutes
Credit:
(This answer was originally made by calculista. All credit goes to them.)
Which statement about the relation is true?
A.The relation is a function of x because each value of x corresponds to only one value of y
B.The relation is not a function of x because all functions are linear.
C.The relation is not a function of x because all functions have positive slope.
(b) it takes 44 pounds of seed to completely plant an 8
-acre field.
How many pounds of seed are needed per acre?
pounds per acre
Check
Answer:
5 pounds and 8 ounces of seed per one acre.
Step-by-step explanation:
We have our two values, 44 pounds and 8 acres.
It also says it takes 44 pounds of seed for every 8 acres of farmland.
So to get the value of how much seed per one acre we need, we divide 44 by 8.
Doing so yields us 5.5 pounds, which can be converted to 5 pounds and 8 ounces. (remember 16 ounces is 1 pound)
1) 0.0 + 5.5 = 5.5
2) 5.5 + 5.5 = 11.0
3) 11.0 + 5.5 = 16.5
4) 16.5 + 5.5 = 22.0
5) 22.0 + 5.5 = 27.5
6) 27.5 + 5.5 = 33.0
7) 33.0 + 5.5 = 38.5
8) 38.5 + 5.5 = 44.0
Ok last one,
Find the x-intercept of the following equation. Simplify your answer.
4x + 13y = 6
x-intercept =
Answer:
x-intercept = 6/4 = 3/2 = 1.50000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+13*y-(6)=0
Step 1: Equation of a Straight Line
Solve 4x+13y-6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4x+13y-6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154
y-intercept = 6/13 = 0.46154
Calculate the X-Intercept :
When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000
x-intercept = 6/4 = 3/2 = 1.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.615/2.000 = -0.308
Geometric figure: Straight Line
Slope = -0.615/2.000 = -0.308
x-intercept = 6/4 = 3/2 = 1.50000
y-intercept = 6/13 = 0.46154
What is the domain and range of the following function
Answer:
DOMAIN: (INFINITY, -INFINITY)
RANGE: (-infinity, INFINITY)
Step-by-step explanation:
hm good luck cus I'm a savage
Answer:
domain: (–∞,∞) or all real numbers
range: (–∞,∞) or all real numbers
Step-by-step explanation:
domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.
range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.
Help solve this pleASE
Answer:
i have no idea 5
Step-by-step explanation:
i need help too please help
I need help please and thank you
your
Step-by-step explanation:
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What is the base of the expression 11^12
A.3
B.11
C.12
D.21
Answer:
21
Step-by-step explanation:
cus i got it right on my test
*PLEASE ANSWER IT'S CONFUSING!!!* *ILL GIVE BRAINLIEST*!!!!!
Riley and Layla are interested in forming a partnership but are concerned about the associated taxes. If the partnership agreement is set such that 80% of earnings go to Riley and 20% go to Layla, which of the following correctly describes how taxes will be paid on the earnings?(1 point)
a.) The partnership itself will pay the tax on each portion of earnings after they have been distributed to Riley and Layla.
b.) Riley and Layla will each pay personal income tax on half of the partnership's total earnings regardless of how the earnings are distributed.
c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.
d.) The partnership itself will pay the tax on total earnings before the earnings are distributed to Riley and Layla.
Answer:
c
Step-by-step explanation:
Answer:
c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.
Step-by-step explanation:
5^n=0.2 need to find value of n
Answer:
Below
Step-by-step explanation:
5^n = 0.2
First write the number in exponential form with the base of 5 :
5^n = 5^-1
Because the bases are the same, we can set the exponents as equal :
x = -1
Hope this helps! Best of luck <3
HELP PLEASE QUICK I BEG I SUCK AT MATH
Answer:
y = 3/8x + 3
Step-by-step explanation:
Parallel lines have the same slope. In given equation, y = 3/8x + 5, the slope, m = 3/8. Therefore, the other line must also have the same slope.
Using the slope, m = 3/8, and the given point, (16, 9), substitute these values into the slope-intercept form:
y = mx + b
9 = 3/8(16) + b
9 = 6 + b
9 - 6 = 6 - 6 + b
3 = b (this is the y-intercept).
Now that we have our slope, m = 3/8, and the y-intercept, b = 3:
The equation of the line parallel to y = 3/8x + 5 is:
y = 3/8x + 3
In a class, 4/7 of the total number of students are boys. If 2/5 of the boys or 8 boys are wearing spectacles, calculate the number of girls in the class.
Answer:
15
Step-by-step explanation:
let total num of boys be X.
then,2/5 of X = 8
2 ×x = 40
X = 20
Now, let the total num of students be y,then we get,
4/7 of y = 20
4 × y = 140
y = 35
similarly, total num of girls = total num of students - total num of boys
= 35 - 20
= 15 ans
In a piggy bank on his dresser, Tom has a total of $2.85 in pennies and quarters. If
the number of pennies is 5 more than three times the number of quarters, how
many pennies and quarters does he have in his piggy bank?
Number of pennies in piggy bank will be 35.
Number of quarters in piggy bank will be 10.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Total cost in piggy bank with pennies and quarters = $2.85
And, The number of pennies is 5 more than three times the number of quarters.
Let Number of quarters = x
And, Number of pennies = y
= 5 + 3x
Since, Total cost in piggy bank with pennies and quarters = $2.85
So, we can formulate;
0.25x + 0.01y = $2.85
Substitute the value of y as;
0.25x + 0.01(5 + 3x) = 2.85
0.25x + 0.05 + 0.03x = 2.85
0.28x + 0.05 = 2.85
x = 10
And, y = 5 + 3x = 5 + 3 × 10 = 35
Thus,
Number of pennies in piggy bank will be 35.
Number of quarters in piggy bank will be 10.
Learn more about the linear expression visit:
https://brainly.com/question/28718030
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please show your work thanks.
Answer:
I don't know how 2 answer
Step-by-step explanation:
It doesn't show the fraction
Can someone help me please?and if you don’t know the answer don’t answer.
Answer:
a=3, b=3, c=5, d=2
Step-by-step explanation:
prime factorization of 600: [tex]2^{3}[/tex] × 3 × [tex]5^{2}[/tex]
please answer the 5 Question please ASAP
you will get Brainlist are you guy not answering my Question :( :( :p
PLEASE HELP!!
What two rational expressions sum to 3x-4/x^2+x-12 ? enter your answer so that each rational expression is in simplified form
The rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex] can be written as the sum of two partial fractions as [tex]\frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].
What is a partial fraction?For the decomposition of a rational equation, partial fractions are used. Each component of an algebraic expression that is divided into a sum of two or more rational expressions is referred to as a partial fraction.
Given, A rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex].
Now, x² + x - 12 can be written as
x² + x - 12.
= x² + 4x - 3x - 12.
= x(x + 4) - 3(x + 4).
= (x + 4)(x - 3).
Therefore, [tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x - 4}{(x + 4)(x - 3)}}[/tex].
[tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].
learn more about partial fractions here :
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4a) The vertices of a triangle are P(-7, -4) Q(-7, -8) and R(3, -3). What are the
coordinates of P' after a reflection over y=x? Please type your answer as
coordinates (x,y) with no spaces.
Answer:
P' (-4 , -7)
Step-by-step explanation:
reflection over y=x, (x,y) -> (y,x)
Divide: 83.5 ÷ 6.25 The first step in solving 83.5 ÷ 6.25 is to multiply the divisor and dividend by . The new division problem is .
Answer:
1: B
2: C
(I need 20 characters so bla bla bla bla bla bla bla)
A line contains the points(−26, −37) and(−32, −61).
What is the slope of the line in simplified form?
Question 1 options:
4
-4
14
−14
Step-by-step explanation:
The slope of the line = (y₂ - y₁) ÷ (x₂ - x₁)
= (-37 - (-61)) ÷ (-26 - (-32))
= 24 ÷ 6
= 4
The stock market drops 18 points.
or stocks, one point equals one dollar. So when you hear that a stock has lost or gained X number of points, it is the same as saying the stock has lost or gained X number of dollars.
Using points to describe share price gains, or declines, is generally done to describe short-term results, such as for the day or week.
Although one point always equals one dollar, the percentage value of a one-point movement can be different for two companies. Points refer only to the dollar amount that has changed, not the percentage. Two stocks can lose the same number of points but very different percentages.