Answer: pm • pn = p(m • n)
Step-by-step explanation:
Fred's art project involves a series of parallel stripes. If he starts by drawing the line 8x+2y=7, select all the equations that could represent lines that could also be drawn for his art project.
Options:
A. [tex]y-1 = 4(x + 8)[/tex]
B. [tex]y = -4x + 15[/tex]
C. [tex]16x + 4y = 9[/tex]
D. [tex]y=-4x[/tex]
E. [tex]4x + 2y = 3[/tex]
Answer:
B. [tex]y = -4x + 15[/tex]
C. [tex]16x + 4y = 9[/tex]
D. [tex]y=-4x[/tex]
Step-by-step explanation:
Given
[tex]8x + 2y = 7[/tex]
Required
Select all equations that could be used.
Equation that could be used in place of [tex]8x + 2y = 7[/tex] must have the same slope.
Calculating the slope of [tex]8x + 2y = 7[/tex]
Make y the subject
[tex]2y = 7 - 8x[/tex]
[tex]y = \frac{7}{2} - \frac{8x}{2}[/tex]
[tex]y = \frac{7}{2} - 4x[/tex]
[tex]y = - 4x + \frac{7}{2}[/tex]
Using y = mx + b
Where
[tex]m = slope[/tex]
The slope is -4
Option A.
[tex]y-1 = 4(x + 8)[/tex]
Open bracket
[tex]y - 1=4x + 32[/tex]
Collect Like Terms
[tex]y - 4x = 32 + 1[/tex]
[tex]y - 4x = 33[/tex]
Make y the subject
[tex]y = 4x + 33[/tex]
The slope of this line is 4;
Hence, it can not be used.
Option B.
[tex]y = -4x + 15[/tex]
The slope of this line is -4;
Hence, it can be used.
Option C.
[tex]16x + 4y = 9[/tex]
Solve for4y
[tex]4y=9 - 16x[/tex]
Solve for y
[tex]\frac{4y}{4} =\frac{9}{4} - \frac{16x}{4}[/tex]
[tex]y =\frac{9}{4} - 4x[/tex]
[tex]y = - 4x + \frac{9}{4}[/tex]
The slope of this line is -4;
Hence, it can be used.
D. [tex]y=-4x[/tex]
The slope of this line is -4;
Hence, it can be used.
E. [tex]4x + 2y = 3[/tex]
Solve for 2y
[tex]2y = 3 - 4x[/tex]
Solve for y
[tex]\frac{2y}{2} = \frac{3}{2} - \frac{4x}{2}[/tex]
[tex]y = \frac{3}{2} - 2x[/tex]
The slope of this line is -2;
Hence, it can not be used.
From the calculations above, equations B, C and D are equivalent
How do you solve this system by elimination? 2x + 4y =8
Answer:
The answer is x=−2y+4
Step-by-step explanation:
1) Add -4y to both sides.
2x+4y+−4y=8+−4y
2x=−4y+8
Step 2: Divide both sides by 2.
2x/2=−4y+8/2
x=−2y+4
Hope this helps
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second week. Show and explain to the cashier how her salary calculated in this two-week period?
Given :
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional $110 per hour for each hour worked over 35 hours per week.
To Find :
A cashier worked 39 hours one week and 37 hours the second week.
Show and explain to the cashier how her salary calculated in this two-week period.
Solution :
Week 1 :
For first 35 hours he will get fixed amount i.e $540.
Now, for next four hours he will get $110 per hour.
So, total salary, T = 540 + (110×(39 - 35)
T = $980
Week 2 :
Total salary, T = 540 + ( 110×( 37 - 35 ))
T = $760
Therefore, salary of two week period is $( 980 + 760 ) = $1740.
You are participating in a "Secret Gift Exchange" with your friends. You set
two price requirements: You can spend less than $30, but you must also
spend more than 20. Write the compound inequality. *
Answer:
FOREVER AND ALWAYS
Step-by-step explanation:
i love you more than you know:( <3
see you someday
The compound inequality which represents the given situation is 20 < x < 30.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's say x represents the spend.
As per the given,
You can spend less than $30,
x < 30
You must also spend more than 20.
x > 20
Compound,
30 < x < 20
Hence "The compound inequality which represents the given situation is 20 < x < 30".
For more about inequality,
brainly.com/question/20383699
#SPJ2
which of the following functions
best describes the graph
Hi ! Does the question include an image?
Answer:
This one
Step-by-step explanation:
Help me
A triangle has the lengths of (10a+9) centimeter,(8a—3) centimeters and (10b+7). Which expression represents the perimeter in centimeters of the triangle
Answer:
P = (18a+10b+13) cm
Step-by-step explanation:
Given that,
A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.
We need to find an expression that represents the perimeter of the triangle.
Perimeter = sum of all sides
P = (10a+9) + (8a-3) + (10b+7)
Taking like terms together,
P = (10a+8a)+10b+(9-3+7)
= 18a+10b+13
Hence, the epresssion for the perimeter is (18a+10b+13) cm.
Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.
99 + 84x ≤ 1,150
99x + 84 ≥ 1,150
99x + 84 ≤ 1,150
99 + 84x ≥ 1,150
Answer: is 99x + 84 < 1,150
Step-by-step explanation:
How far is a million inches in miles
(There are 5,280 feet in 1 mile)
Answer: 15.7828283 miles
Step-by-step explanation: 5280*12 = 63360. There are 63360 inches in 1 mile. 1000000/63360=15.7828283
Please I need some answers
Answer:
1 = 2x 2= -3 4 =3
Step-by-step explanation:
Answer:
1. 5x-3=-15
2. -15/5=-3
3. -15/-3=5
Step-by-step explanation:
Hope this helps :)
13. Usain Bolt is able to run 300 meters in 51 seconds. How fast is Usain's
running per second? *
1 second/6.2 meters
about 6.2 meters/second
about 7.1 meters/second
about 5.9 meters/second
Other:
Answer:
about 5.9 meters/second
Step-by-step explanation:
300 meters / 51 seconds
= 5.88
≈ 5.9
River collects old coins. He has four
less than twice as many rare nickels as
he does rare quarters. I the face value
of the coins is $3.65, Which system of
equations can be used to find n, the
number of nickels, and ç, the number of
quarters that he has?
a) 25n +59 = 365
29-4=n
b) 5n +59 = 3.65
49 +2=n
c) 5n + 256 = 365
29-4=
d) 5n + 259 = 365
49-2=n
e) 25n +59 = 365
49-2=n
9514 1404 393
Answer:
c) 5n +25q = 365
2q -4 = n
Step-by-step explanation:
The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...
2q -4 = n
The face value is 365 cents, so another equation is ...
5n +25q = 365
These equations seem to match choice C.
Options are:
a. 1/2
b. 2
c. -2
d. -1/2
I’ll give brainlest if you answer this correctly:)
Answer:
Step-by-step explanation:
Apply the slope formula to be sure. The slope formula is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Filling in with our coordinates gives us:
[tex]m=\frac{-2-10}{-2-4}=\frac{-12}{-6}=2[/tex]
The slope is 2. If you don't want to use the slope formula you could just look at the line and pick 2 points the line goes through and use a slope triangle, but that's a bit more difficult to explain without the benefit of being there to point out the idiosyncrasies of it.
What is the measure of anglez in this figure?
Enter your answer in the box
430
z=
What is x?
3/6=5.5/x
Answer:
x = 11
Step-by-step explanation:
3/6=5.5/x
Cross multiply.
3 * x = 6 * 5.5
x = 2 * 5.5
x = 11
Janet's has X dollars Henny has $8 less than Janet which expression shows how to find how many dollars Hanley has
Answer:
Henny = (x-8) dollars
Step-by-step explanation:
Janet's has x dollars.
Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.
Henny has = (x-8) dollars
Hence, the expression that shows dollars Hanley has is (x-8).
What statement is true about the extreme value of the givin quadratic equation y=-3x^2+12x-30
A) the equation has a maximum value with a y-coordinate of -21
B) the equation has a minimum value with a y-coordinate of -27
C) the equation has a minimum value with a y-coordinate of -21
D) the equation has a maximum value with a y-coordinate of -27
Answer:
I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere hope it help
Step-by-step explanation:
Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest, how much principal did she borrow? ***REMEMBER - you must find out how much interest she will pay in 1 year!!!
Step-by-step explanation:
Given as :
The time period for the car loan = t = 2 years
The rate of interest applied = r = 6% at simple interest
The interest amount = S.I = $264
Let The principal amount which Elsa borrowed = $p
Now, From simple interest method
Simple Interest = 
Or, S.I = 
Or, $264 = 
Or, $264 × 100 = 12 × p
Or, p = 
∴ p = $2200
So, The principal she borrowed = p = $2200
Hence,The Principal amount that Elsa borrowed for the car loan is $2200 . Answer
At the school store of magic, a wand costs 2.31$ Mr. WIzard wants to get a new wand for each of his 22 students. He has a $50 dollar bill. Does Mr.Wizard have enough money? if yes, how much money will he have left? If no, how much more money will he need
Point A is one vertex of triangle ABC. Point B is the x-intercept of 6x-4y=-12 and point C is the y-intercept. What are points B and C? Sketch the triangle in the coordinate plane.
Answer: point b=(-2,0) point c=(0.3)
triangle graph= c at the top b on the left side bottom and a on the right side botton
Step-by-step explanation:
What is the sign of 3 x y 3xy3, x, y when x > 0 x>0x, is greater than, 0 and y < 0 y<0
Answer:
The sign is negative
Step-by-step explanation:
Given
[tex]Expression = 3xy[/tex]
[tex]x > 0[/tex]
[tex]y<0[/tex]
Required
Determine the sign
The expression can be split into 3 factors
[tex](3) (x) (y)[/tex]
If x > 0 then x is positive and If y < 0 then y is negative
So, the expression becomes:
[tex](+3) (+x) (-y)[/tex]
Leave only signs
[tex](+) (+) (-)[/tex]
[tex]+ * + = -[/tex]
So, we have:
[tex](+*+) (-)[/tex]
[tex](+) (-)[/tex]
[tex]+ * - = -[/tex]
So, we have:
[tex](+) (-) = -[/tex]
Hence, the sign of the expression is negative
Take for instance;
[tex]x = 2[/tex]
[tex]y = -4[/tex]
The expression would be:
[tex]3 *2 * - 4 =-24[/tex] -- negative
Find the slope of the line that passes through the points (4, 3) and (2, -7).
Answer:
slope is 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
(4,3) (2,-7)
Put it in the equation of y2 - y1 over x2 - x1
-7-3 = -10 and 2 - 4 = -2 that will give you the fraction of -10/-2
Reduce the fraction and that will give you the answer of 5, slope = 5
In slope-intercept form it would be y - 3 = 5 (x - 4)
Hope this helps! ^^
What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
let's say
A(-3,1) B(-3,5) C(4,1)
we need to find the perimeter of ABC for that we find each of the sides
AB BC and AC
there is a formula to find the distance between 2 poins
let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5
AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
AB=[tex]\sqrt{(-3+3)^2+(5-1)^2}[/tex]
AB=[tex]\sqrt{0^2+4^2}[/tex]
AB=4
we do the same thing for AC and BC
AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]
AC=[tex]\sqrt{7^2+0^2}[/tex]
AC=7
BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]
BC=[tex]\sqrt{7^2+(-4)^2}[/tex]
BC=[tex]\sqrt{49+16}[/tex]
BC=[tex]\sqrt{65}[/tex]
The perimeter is equal to the sum of the sides
P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]
The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the start
Answer:
256
Step-by-step explanation:
Find the y-intercept:
-14 - 7y = -7x
Answer:
yo, its
y=x−2
Step-by-step explanation:
Answer:
it is y = x-2
Step-by-step explanation:
If x < 3, the arrow points to the left.
True or false
Answer:
true
Step-by-step explanation:
Need help on graphing it the answer is -4,0 but how would I graph it on there show me how
Answer:
well -4 is your x so we are going to go 4 units to the left. Then were gonna point it right there because your y value is 0 and will stay there.
Step-by-step explanation:
:)
find 3 consecutive numbers such that twice the greatest added to three times the least amount of 34.
Answer:
6
Step-by-step explanation:
2(x+2) + 3x
2x + 4 + 3x = 34
5x + 4 = 34
5x = 34–4
5x = 30
x = 30/5
x = 6
Rudgolf goes to a store looking to buy comic books and CDs. Comic books cost 15 each and cds cost 10
Answer:
what to find the sum of Rs or
Answer:
If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars
Step-by-step explanation:
(wait but where is the question) Also 15 dollars or cents?
3*15= 45
4* 10= 40
45+40= 85
Answer this please!!!
During what times is Ann stopped? Give a reason to support your answer
whenever the line drops to the bottom of the graph the reason is because her speed drops to 0
what is the answer what is q
Answer:
q= - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Simplify from 3 (q+4/3) = 2 to 3q+3(4/3)=2
Cancel the common factor 3
3q+4=2
3q=2-4
3q=-2
q=-2/3