Step-by-step explanation:
h(x) = (x + 9)(x² - 10x + 25) = (x + 9)(x - 5)²
When h(x) = 0, (x + 9) = 0 or (x - 5)² = 0.
=> x = -9 or x = 5.
Hence there are 2 distinct real roots of h(x).
solve for c: 2(c - 6) = 9c + 2
A car rental offers two options for renting a car. Plan A costs $200 per week plus $0.35 for each mile driven during that week. Plan B costs $180 per week plus $0.55 for each mile driven that week. How many miles of driving would result in both plans costing the same amount for that week
Answer:
100 miles
Step-by-step explanation:
Two plans are being offered for the renting of cars.
Plan A:
Cost per week = $200
Cost for each mile = $0.35
Plan B:
Cost per week = $180
Cost for each mile = $0.55
To find:
Number of miles for which the cost is same ?
Solution:
Let the number of miles driven so that the cost becomes the same = [tex]m[/tex] miles
First of all, let us find the cost for each plan as per [tex]m[/tex] miles.
Cost as per plan A = Cost per week + Cost for [tex]m[/tex] miles = $200 + $0.35[tex]m[/tex]
Cost as per plan B = Cost per week + Cost for [tex]m[/tex] miles = $180 + $0.55[tex]m[/tex]
Now, putting both the costs equal to find the value of [tex]m[/tex]:
[tex]200 +0.35m = 180 +0.55m\\\Rightarrow 20 = 0.20m\\\Rightarrow m = \bold{100\ miles}[/tex]
Therefore, after 100 miles the cost from each plan will be the same.
A blue print for a house has a scale of 1 in: 5feet The living room has a length of 25 inches and a width of 3 inches what is the actual area of the living room
Answer: 1875 square ft
Step-by-step explanation:
Ratio: 1 in: 5ft
Living room length: 25in=125ft
Living room width: 3in=15ft
125x15= [tex]1875^{2} ft\\[/tex]
3x+4=9x+3 so what does x equal?
Answer:
x = 1/6
Step-by-step explanation:
6x = 1
x = 1/6
Answer:
x = 1/6
Step-by-step explanation:
3x + 4 = 9x + 3
collect ' like terms'
the smaller terms should be the ones crossing the = sign
4 - 3 = 9x - 3x
1 = 6x
x = 1/6
What is the slope of the line that has an equation of y= x - 3?
3
-3
1
О
NEXT QUESTION
ASK FOR HELP
can some tell me what does the tooth fairy do with the bones that come out of my face
Answer:
The tooth does very creepy stuff I have heard that she gives our teeth to the dentist for dental purposes, or even eats our teeth. I am disgusted by this already so this is your answer.
Step-by-step explanation:
The weight of an African elephant is 6 × 106 grams; the weight of a tiger is 3 × 105 grams. How many times heavier is the elephant than the tiger?
2
20
200
2,000
Answer:
C!!!!!
Step-by-step explanation:
sorry if I'm wrong.
Answer:
it is B. Trust me! PLz, Trust me!
Step-by-step explanation:
Do I get brainliest?
Suppose you subtract –7 from the quotient of –16 and –4. What is the answer
Answer: 11
Step-by-step explanation: -16 / -4 = 4
4 - (-7) = 11
Answer:
11
Step-by-step explanation:
Right triangle JKL is shown below.
What is the measure of
nearest degree.
Answer:
Step-by-step explanation:
Hypotenus=6
Adjacent=4
H and A
Cos x degrees= A divided by H
4 divided by 6=0.666666666
cos inverse(0.6666666666666666)
=48.2
=48
PLEASE HELP 80 POINTS ALGEBRA 2
I do belive i did my math correct and I n.v should be the top one
Answer:
what the first answer said
Step-by-step explanation:
For addition, drag tiles onto the board.
To form a group. place one tile on top of another.
Which expressions have the same solution as -4(6)?
Check all that apply.
-4-6)
O 4(-6)
O 6(-4)
-8(2)
O 12(-2)
Board sum: 0
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students left 1395 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.
Step-by-step explanation:
Given: Total seats = 3100
Seats vacant= 1395
Seats occupied by 6th graders = 3100-1395 = 1705
The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]
[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]
Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.
are you smarter than a 7th grader get your answers by answering this question please please please please please
Answer:
F
Step-by-step explanation:
8 - (2-3) -1 = 8
6 - (-2) = 8
8-(2-3)-1=6-(-2)
What is 5+5x•40 if x equals 5
Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest
if an object has a density of 6.g/mL and you put it into water, will it sink or float?
Step-by-step explanation:
If an object has a higher density than the fluid it is in (fluid can mean liquid or gas), it will sink. If it has a lower density, it will float. Density is determined by an object's mass and volume. If two objects take up the same volume, but have one has more mass, then it also has a higher density.
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find the probability that a blue marble will be drawn. a. One-third c. StartFraction 1 Over 7 EndFraction b. StartFraction 1 Over 11 EndFraction d. StartFraction 3 Over 14 EndFraction
Answer: The answer would be the favorable out some (how many blues) over the total outcomes (all marbles added together)
So the answer would be 3/14 or 21%
-6x +20 >= -11x
solve the inequality
Answer:
x≥-4Step-by-step explanation:
plz i need brailyesit
what is the equation of the line
Answer:
x=3
Step-by-step explanation:
No matter what happens to the y value, x always stays on the number 3, so y does not matter for this equation, it is simply x=3.
Answer:
simply x=3
Step-by-step explanation:
Please help as soon as possible! Thank you
Answer:
line PQ is congruent to like SR. reason: given
angle PQR is congruent to angle SRQ. reason: given
Line QR is congruent to line QR. reason: reflexive property of equality.
Triangles PQR and SQR are congruent by the SAS postulate
Step-by-step explanation:
can someone help me with this one ?
Answer:
For the question 7 its congruent for 8 it's not congruent
Step-by-step explanation:
PLEASE I NEED HELP ASAP, I WILL GIVE BRAINLIEST
Let q = ⟨15, –3⟩, r = ⟨–5, 8⟩, and s = ⟨10, –1⟩. What is r – q + 2s?
⟨0, 3⟩
⟨0, 9⟩
⟨40, 3⟩
⟨40, -13⟩
Answer:
⟨0, 9⟩
Step-by-step explanation:
Too long of an explanation...
Answer:
B. ⟨0, 9⟩
Step-by-step explanation:
What's the correct answer???
Answer:
The correct answer is D.
Step-by-step explanation:
You got it!
For the algebraic equation, select the property or properties that could be used to solve it.
-7(2x -5) = -49
Group of answer choices
Addition or Subtraction Property of Equality
Multiplication or Division Property of EQuality
Distributive Property
Commutative Property
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
You graph a system of linear equations and notice that the lines of the graphs are perpendicular. Given that the lines are perpendicular, which of these is NOT true?
Group of answer choices.
-Lines intersect
-There is one solution to the system
-Lines have the opposite reciprocal slopes
-There is no solution to the system
Answer:
the answer is d.
Step-by-step explanation:
there is one solution to these lines
Please help me with this i can't think Please and thank you
Answer:
hot ❤
Step-by-step explanation:
Mrs. Robertson is carpeting her rectangular living room.
The room is 10 feet wide and 15 feet long. What is the
area to be carpeted?
Answer:
150 ft
Step-by-step explanation:
The formula for area is, height x width (h x w) or base x height (b x h)
10 feet is the base and 15 is the height, multiply those and you get 150
24
A company deposits $90,000 into an account that pays 1% interest per month. At the end of each month, the company withdraws $10,000. After two months
the company had $71,709 remaining in the account,
Answer:
90k-20k = 70k they had 1709 interest money
Step-by-step explanation:
1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
Which is an equation?
Answer:
c
Step-by-step explanation:
because it has an equal sign
Answer:
C
Step-by-step explanation: becuase it has an equal sign
