Answer: {-7, -6}
Explanation: When an equation has a squared term in it,
it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to 0, then factor.
Since this equation is already set equal to 0, we can factor the left side.
The left side is a trinomial that can be
factored as the product of two binomials.
The first term in each binomial will be a factor of the w².
Since w² factors a w · w, we use a w as our first term.
For the last terms, we use factors of 42 that add
to 13 and these factors are +7 and +6.
So we have (w + 7)(w + 6) = 0.
So either w + 7 = 0 or w + 6 = 0.
Solving for w in each equation, we find that our solution set is {-7, -6}.
find the number of inches needed to represent 300 miles if one fourth in =50 mi
Answer:
1.5 in
Step-by-step explanation:
if one quarter of an inch represents 50 mi then and we know 50 x 6 = 300 then you would need 6 fourths of an inch or one and a half inches.
James has a rectangular plot of land that is 250 feet long and x feet wide. He wants to build a fence around the plot of the land. If the perimeter of the plot is 942 feet, what is the value of x?
Answer:
= 221
Step-by-step explanation:
Lenght = 250
Width= x
Perimeter = 2 (l+b) = 942
2 x (250 +x) = 942
500 + 2x = 942
2x = 942 - 500= 442
x = 442 /2 = 221
I hope Im right!!
When the minimart opened, there were 178 bags of chips on the
shelf. The clerk sold some chips. During the day, the clerk put 72
more bags on the shelf. When the store closed, there were 57 bags
on the shelf. How many bags were sold?
Answer:
193 bags
Step-by-step explanation:
178 - x + 72 = 57
250 - x = 57
x = 193
pleaseee help it's due tonight and i don't know what it wants and how to do it
Answer:
solve
Step-by-step explanation:
plus . minus and divide
Answer:
1- Let x = original price then
x - .20x = 48
x(1 - .20) = 48
x(.80) = 48
x = 48/.80
x = $60
2-Let "x" be the number of lessons.
240 - 15x = 0
240 = 15x
x = 16 lessons
3-divide equation by 2:
(2W-4) + W = 32
2W - 4 + W = 32
2W + W = 32 + 4
3W = 36
W = 36/3
W = 12 cm
Find the Length using L = 2W-4:
L = 2(12) - 4
L = 20 cm
Check: 2(20) + 2(12) = 64
4-P stands for the original price. The 90 stands for 90 %. Wendy paid 100-10, or 90 %.
Step-by-step explanation:
How does the graph of the function g(x) = 2x + 5 differ from the graph of f(x) = 2X?
Answer:
Step-by-step explanation:
The lines are parallel, but g(x) lies 5 units above f(x).
Evaluate the expression for the given value of x.
f(x) = { (2)" ; x = 0
Answer:
2
Step-by-step explanation:
substitute the given value into the function and evaluate
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour counting as a whole hour.
The rates that Latoya charges for x hours of tutoring are modeled with the function shown.
f(x)=30x,0≤x≤3
20x,3 6
(Imagine this stuff above as a piecewise function)
Complete to make a true sentence.
____ will charge $ ____ more to tutor for 5.5 hours.
Answer and explanation:
Since Oscar charges $25 for the first hour and $15 for every additional hour or fraction of an hour, his function would be :
f(x)= 25x 0 is less than or equal to x and x is less than or equal to 1
Latoya charges $30 for the first three hours and $20 for every additional hour or fraction of an hour. The function :
f(x)= 30x
0 is less than or equal to x and x is less than or equal to 3
Given that each taught their students for 5.5 hours, their charges would be :
For Oscar,
The first hour = 25×1= $25
4.5 hours left= 15×4.5= $67.5
Total charge for 5.5 hours= $67.5+$25= $92.5
For Latoya,
The first three hours= 30×3=$90
2.5 hours left= 2.5×20= $50
Total charge for 5.5 hours= $90+$50= $140
Therefore Latoya will charge $47.5 more to tutor for 5.5 hours.
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Which of the following is equivalent to “the product of 2 and 3 is increased by 7”?
A. 2(3) +7
B. (2 + 3) + 7
C. 2(3) – 7
D. (2 + 3) – 7
PLEASE HELP!
can some one help me with this
Answer:
he ate 12/12 which means the dinasour ate all of the plant
Step-by-step explanation:
i cant lie this is a wierd question cause it seems to obvious but here it is....
10/12+ 2/12= 12/12
12/12=1 whole the dinasour ate the entire plant
Answer: 10/12 + 2/12 = 12/12 or 1 whole
Step-by-step explanation: Since it says at first the dino ate 10/12 and then after it ate 2/12 more. When your adding fractions the denominator doesn't change but the numerator does. Therefore its basically saying what's 10+2 which = 12 then you put the denominator on the bottom which is 12/12 if you want to simplify it. It turns to a 1 whole
A family eats at a restaurant. The bill, including tax, is $45. The family then leaves a 20% tip. How much did the family spend on the meal? *
Answer:
$54
Step-by-step explanation:
45 increase 20% =
45 × (1 + 20%) = 45 × (1 + 0.2) = 54
Tashara has x number of baseball cards. Larry has 5 more than 2 times this number. Which expression represents the number of cards larry has?
Answer:
2x +5....................
The expression 2x + 5 represents the number of cards larry has.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given that,
Tashara has x number of baseball cards.
And,
Larry has 5 more than 2 times x
So,
Larry has = 2(x) + 5
Hence "The expression 2x + 5 represents the number of cards larry has".
To learn more about expression,
https://brainly.com/question/14083225
#SPJ6
Need help with number 4 please due today
Answer:
#4 is not a function because not every x-value corresponds with only one y-value
Step-by-step explanation:
What is the value of c if a = 12 and b = 5
Answer:
-2
Step-by-step explanation:
Help me please thank you :)
What it the common ratio for 17, 51, 153, 459,.....
Answer:
Step-by-step explanation:
1:3
Answer:
-3
Step-by-step explanation:
153÷-51=-3
-51÷17=-3
Solve for x.
2x + 9 = 33
x = 7.5
x = 12
x = 21
x = 84
the number7 less than z is_______
Answer:
z-7 is correct
What is the probability that the spinner will land on either yellow (Y) or green (G)
Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he save $5. On Saturday, Rob earned $33 babysitting. How much money did he save?
Answer:
15
Step-by-step explanation:
if every $11 dollars he save $5, and sense he made $33 ( he done three babysitting)
11-5= 5 (does that three times) [5+5+5} when you add the three five , u should have 15 dollars.
so he save 15 dollars.
Please answer quick, in the picture)
Step-by-step explanation:
Given
[tex]for \: a) \\ = \frac{ {x}^{8} }{ {x}^{2} } \\ = {x}^{8 - 2} \\ = {x}^{6} \\ now \: for \: b \:) \\ \frac{ {y}^{5} }{ {y}^{4} } \\ = {y}^{5 - 4} \\ = y[/tex]
Hope it will help :)
If 350$ is placed in a savings account that earns 3.5% interest once a year, how much money will be in the account after 10 years?
2/3 5/9 LCD and equivalent fractions
Answer:
The LCM of 3,5,9 3 , 5 , 9 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 3,5,9 3 , 5 , 9 is 3⋅3⋅5=45 3 ⋅ 3 ⋅ 5 = 45 .
Step-by-step explanation:
If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)
(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please
Answer:
the answer is a I just took the test and its right
Step-by-step explanation:
what is the ratio 100:120 in it's simplest form?
Answer:
5 : 6
Step-by-step explanation:
100 : 120
= 100 / 120
= 10 / 12
= 5 / 6
= 5 : 6
Therefore, the ratio 100 : 120 in it's simplest form is 5 : 6.
Hope it helps :)
Please mark my answer as the brainliest
Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 pm
How long was the movie?
The movie should be 2 hours and 15 minutes long.
Answer: My answer would be the movie was 2 hours and 55 minutes long.
Step-by-step explanation: I subtracted 4:10 by 1:55 and got 2:55.
4:10-1:55=2:55
please please help with equations
Answer:
Clara: y=40x+ 50 Hector: y=35x+100To cost the same we need to set the equations equal to each other 40x+50=35x+1005x=50 --> x= 10hours I do exams and quizzes if your interested! x - (-2) = 10
what is x
Answer:
x = 12
Step-by-step explanation:
x - (-2) = 10 | Given
x - 2 = 10 | Distribute (whenever there is a minus on the outside of a parenthesis imagine a -1 on the outside, and flip the signs of everything on the inside)
x = 12 | Add 2 to both sides.
1. The temperature in Hawaii on Thursday was 85°F. The temperature in Colorado on Thursday was -
5°F. Which expression(s) represent this situation using the absolute value of the difference?
O 85 - 5
O-5-85
O 185 - (-5)
O 15 - 85
Answer:
-5-85
Step-by-step explanation:
The temperature in Hawaii on Thursday was 85°F.
The temperature in Colorado on Thursday was - 5°F.
The difference in temperature is given by :
[tex]\Delta T=-5-85[/tex]
So, the correct option is (b) "-5-85".
William can pack 60 toys in 4 hours. Find the unit rate with which he packs
toys.
A.16 toys/hour
B.15 toys/hour
C.14 toys/hour
D.13 toys/hour