Answer:
Step-by-step explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Here are the equations you can use to find the slope;
Slope. y2 - y1 / x2 - x1 = slope.
Slope Intercept form. y = mx + b.
Point slope form. y - y1 = m ( x - x1)
2 of 7 A shop has a sale of 5% off all items in stock. If the original price of a dress is £80 what would be its sale price?
Answer:
the sale price is £76
Step-by-step explanation:
The computation of the sale price is shown below:
= Original price - original price × off percentage
= £80 - £80 × 5%
= £80 - £4
= £76
Hence, the sale price is £76
You sell small and large candles at a craft fair. Small candles cost $4 each and large candles cost $6 each. You collect $144 after selling a total of 28 candles. How many of each type of candle did you sell? Write a linear system to represent the situation. Be sure to define your variables.
Answer: Small Candle = 12, Large Candle = 16
Step-by-step explanation:
Equation is this, s+l=28 2nd equation is 4s+6l=144
now you multiply every number in the second equation by -6 since positive 6 is the second equations second constant. Now you got -6s-6l=-168 And 4s+6l=144. The -6l and positive cancel so now you got -6s + 4s = -168+144. Now you got -2s = -24. Divide them both by negative two then you get s = 12. 28 candles total - 12 = 16 so 16 large candles and 12 small. L = large candles, S = small candles.
Answer:
8 small candles
16 large candles
Step-by-step explanation:
1. Approach
Set up a system of equations to solve this problem. Call the number of small candles sold (x), and the number of large candles sold (y). Have one expression model the amount of money earned, the other model the number of candles sold. Then, solve this system of equations using the process of elimination. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate. Then one can solve for the other variable, and finally, substitute the value of the variable that one found back into one of the equations, and solve for the value of the other variable.
2. Set up a system of equations
Use the given information to set up a system of equations to describe the amount earned, and the amount sold
x + y = 28 -> amount sold
4x + 6y = 144 -> amount earned
3. Solve the system
As explained above, the process of elimination is a method of solving a system of equations. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate.
x + y = 28 (*-4)
4x + 6y = 144
-4x - 4y = -112
4x + 6y = 144
___________
2y = 32
/2 /2
y = 16
4. Solve to find out how much of the other candle was sold
Now back solve, substitute the found value into one of the equations, and solve to find the other value
x + y = 28
y = 16
x + 16 = 28
-16 -16
x = 8
given: EC=3AE, DB=3AD
prove: ABC- ADE
Answer:
[1] AC = 3AE + AE, AB = 3AD + AD
[2] Transitive property
[3] Reflexive Property of Equality
Step-by-step explanation:
Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The total
mass of her collection of books is 11 kilograms.
How many large books does Annie have if she has 8 small books? Enter the answer in the box.
large books
Answer:
12 large books
Step-by-step explanation:
Find the value of x.
Answer:
50
Step-by-step explanation:
The upper left hand arc is also 130
The lower right hand arc is also x
A circle all the way around from some starting point is 360 degrees.
x + x + 130 + 130 = 360 Equation. Combine like terms.
2x + 260 = 360 Subtract 260 from both sides
2x = 360 - 260
2x = 100 Divide by 2
x = 100/2
x = 50
Help me with this yes im lazy 2 pages thats it.
Answer:
2.)[tex]\frac{1}{4}/3=\frac{1}{4}*\frac{1}{3}=\frac{1}{12}[/tex] s yes she is correct
3.)[tex]\frac{1}{5}*\frac{1}{7}[/tex]
4.)C[tex]\frac{1}{5}/2= \frac{2}{5}[/tex],D[tex]\frac{1}{12}/5=\frac{1}{60}[/tex],E
6.)[tex]\frac{1}{8}/3=\frac{1}{24}[/tex]
Step-by-step explanation:
im not very good at word problems so i didnt do the secnd page sorry
cot^2x-csc^2x=
please include the steps thank you !!
will give branliest
Answer:
Step-by-step explanation: One of the fundamental identities is #1+cot^2(x) = csc^2(x)#.
Starting with your given:
#cot^2(x)-csc^2(x)#
Replace #csc^2(x)# with #1+cot^2(x)#:
#cot^2(x)-(1+cot^2(x))#
#=cot^2(x)-1-cot^2(x))#
#=-1#
Factorizar
1. (a+ b)^3 − 27
2. 2x^2+7x+3
Answer:
1) (a+b) = 3
2) (2x+1)(x+3)
Step-by-step explanation:
Find two numbers whose sum is 8 and whose product is 17. Show all steps.
Answer:
See the solution below
Step-by-step explanation:
Find two numbers whose sum is 8 and whose product is 17. Show all steps.
Given data
Let the first number be x
and the second number be y
so
x+y= 8---------1
x*y= 17---------2
from 1
x= 8-y
put the value of x in 2
(8-y)*y= 17
8y-y^2= 17
collect like terms
y^2-8y+17= 0
Let us check the discriminant
y= √b^2-4ac
y= √-8^2-4*1*17
y= √64-4*1*17
y= √64-68
y= √-4
Hence the problem has no real solution because the discriminant is negative
Guy plz Quickly
Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.
What is the surface area of the box?
A.
140 square inches
B.
190 square inches
C.
95 square inches
D.
175 square inches
Answer:
A. 190 inches
Step-by-step explanation:
Plug in the numbers to the surface area formula to get 190, i messed up last time
Write the function notation for the
above rotation.
solve by square root 4x^2=64
-2/8, -0.2, -3/7 from least to greatest???
Answer:
-3/7, -2/8, -0.2
Step-by-step explanation:
-0.2 = -1/5
We have -3/7, -2/8 and -1/5
For positive b and d:
a/b < c/d if and only if a*d < c*b
-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true
-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true
so we get -3/7 < -2/8 < -0.2
Which expression is equivalent to 9c + 12d + 2c
A. 18c + 12d
B. 11c + 12d
C. 11c exponent 2 + 12d
D. 23cd
Answer:
B. 11c + 12d
Step-by-step explanation:
Given
9c + 12d + 2c
Combine the like terms
= 11c + 12d
Hope it will help :)
Find the solution of the system of equations.
-3x + 10y = 2
- 3x + 3y = 9
Answer:
(-4,-1)
Step-by-step explanation:
Try plugging into Desmos Graphing Calculator
∠aangle, a and ∠ b ∠bangle, b are complementary angles. ∠ a ∠aangle, a measures 5 5 ∘ 55 ∘ 55, degrees. What is the measure of ∠ b ∠bangle, b?
Answer:
∠b=35
Step-by-step explanation:
Hello There!
Complementary angles add up to equal 90
so to find the measure of angle B we subtract the given angle from 90
90-55=35
so we can conclude that ∠b = 35
What is the slope of the line?
A. 15
B. 30
C. 18
D. 25
Answer:
15
Step-by-step explanation:
15 is the difference between 15 and 30 where the 2 dots are at
PLS HELP WILL GIVE BRAINLIEST
Answer:
3.52BAStep-by-step explanation:
Middle School:
Find the median by arranging the data points from smallest to largest.
1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)
7/2 = 3.5
High School:
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)
4/2 = 2
Most of the points in the middle school plot are four or less.
A (High school students had more variation.)
What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
A y = 12 x - 2
B. y = {x-2
C y = 2x - 2
D. y = 6x - 2
Answer:
The answer is D.
Step-by-step explanation:
:DDDDDDDDD
a. 17 + 4p
b. 18 + 3d + 3p
c. 18 + 4p
d. 17 + 3d + 3p
Answer:
c. 4p+18
Step-by-step explanation:
-7d + 2d + 3d + 2d = 0
6p-3p+p = 4p
7-11+14+8 = 18
4p+18
Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?
Is y = 5(1.04)* A. growth or B. decay?
Answer:
growth
Step-by-step explanation:
Answer:
A. Growth
Step-by-step explanation:
There is a 1 in front of 0.04, which also means 104%, so it's an increase, therefore growth. Decay would be below 100%.
I hope this helps you!! ^-^
HELPPPPP PLEASEEEE!!!!!Find the Area of the Rectangle:
[Hint! Area of a Rectangle is A=1•w]
3x+1
2x+3
Answer:
62
Step-by-step explanation:
IM NOT SURE I THINK BUT hope this helps :)
I have to fill out the missing years can someone help me quickly
use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)^x-5+8 you may wish to grab it and its parent function y=0.5^x on the same axes
The parent function y=0.5^x is _____ across its domain because its base b is such that
First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
The parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
What is translation of a function?Translation of a function is shifting the function from its original place in the graph.
Types of translation -
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)+c shifts the graph c units down and by replacing parent function with f(x)-c shifts the graph b units up.
The functions of the graph given in the problem as,
[tex]f(x) = (0.5)^{x-5}+8[/tex]
The parent function of the graph is,
[tex]y=0.5^x[/tex]
In the parent function, the 5 units subtracted, and 8 units added outside the function. Thus, the function shifts the parent function 8 units up and 5 units right.
Thus, the parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.
Learn more about the transition of a function here;
https://brainly.com/question/626170
Easy question!!! Solve for x.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
yes
Find the area of IJKL
Answer:
I think it's 336 I'm not entirely sure though
Find the slope and the y-intercept of the line in the graph.
19
.
7
G
S
4
3
2
1
TOL
-5
6
-10
89
The slope is
They-intercept is
Question 5 of 7
Answer:
[tex]y = 4x + 5[/tex]
y-intercept= 5
slope= 4
can play 18 holes of golf in 180 minutes. Calculate what is his average rate in number of minutes per holes?
Which graph shows a linear function?
Answer:
There is no graph but the graph that would have a straight line
Answer:
Whichever line is straight and does not have x repeat itself is considered linear.
Step-by-step explanation:
A linear function can be shown by using the equation y=mx+b, in which m is the slope and b is the y-intercept. A linear function must be able to follow this formula in order to be considered linear. An exponential equation, quadratic equation, or other equation will not work.
Chances are, if the line is straight and the points plotted can be connected within a straight line and not overlap, they are a linear function.
[A function being an equation in which x does not repeat itself, therefore a vertical line up and down is not considered a linear function, however, a horizontal line is.]