Answer:
C. (x - 3)² = 1
Step-by-step explanation:
Given;
x² - 6x + 8 = 0
Using completing the square method, the equation above is solved as follows;
x² - 6x = - 8
Half the coefficient of 'x' (-6), square the result and add it to both sides of the equation;
Half of coefficient of x (-6) = ¹/₂ (-6) = -3
x² + (-3)² = -8 + (-3)²
(x - 3)² = -8 + 9
(x - 3)² = 1
Thus, the correct option is 'C'
C. (x - 3)² = 1
A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that:
•He plans to drive 500 miles
•He has at most $210 to spend
What is the maximum number of days that Jaxon can rent the car while staying within his budget?
Answer:
Step-by-step explanation:
x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is
y = .12x + 68.64
If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:
210 = .12x + 68.64 and
141.36 = .12x so
x = 1178
He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.
Varies directly as m
A)k=dm
B)d=k/m
C)m=k/d
D)d=km
Answer:
d = km
Step-by-step explanation:
d Varies directly as m
This is written mathematically as :
d ∝ m
d = km
Where k is the constant k of proportionality
Option D)d=km is the correct option.
what does this mean "-4=-4"
Answer:
It means that a number is equal to itself
Step-by-step explanation:
Answer:
Negative four is equal to negative four
Step-by-step explanation:
Kinda confused as to why you do not understand that expression...
Ill give brainliest - please help ASAP - 25 points
WITH THE WORK THO PLEASE?
Answer:
According to the theorem of chords intersecting inside the circle,
1) 15 * 8 = 10 * x
120 = 10x
120/10 = x
12 = x
2) 21 * 10 = 14 * x
210 = 14 x
210/14 = x
15 = x
3)10 * 4 = 5x
40 = 5x
40/5 = x
8 = x
4) 5x * 2x = 10*9
10x^2 = 90
x^2 = 90/10
x^2 = 9
x = √9
x = 3
5)3x + 3 * 3x = 10 * 18
9 x^2 + 9x = 180
dividing the whole eq. by 9
x^2 + x = 20
x^2 + x - 20 = 0
x^2 + 5x - 4x - 20 = 0
x(x + 5) - 4(x + 5) = 0
x - 4 = 0 OR x + 5 = 0
x = 4 or x = -5
The length cannot be negative, so,
x = 4
What is the area of these
Answer:
Step-by-step explanation:
What percent of 280 is 133?
Answer:
47.5
hope this helped
Answer:
47.5
Step-by-step explanation:
Work out the size of angle x
Answer:
70
Step-by-step explanation:
angles in a triangle= 180
79+35=110
180-110=70
You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).
If you randomly pick the plant and the pot, what is the probability that you won't get a clay pot or a cactus?
Answer:
56.25%
Step-by-step explanation:
First, we need to find the total number of possible outcomes. We do this by multiplying the total number of plants by the total number of pots like so...
4 * 4 = 16 outcomes
Now we need to do the same but removing the cactus and clay pot from the list...
3 * 3 = 9 outcomes.
Now, to find the probability we need to divide the number of outcomes that do not include cactus and clay pot by the total original number of outcomes.
9 / 16 = 0.5625 or 56.25%
Finally, we can see that the probability of not getting a clay pot or cactus is 56.25%
Answer:
9/16
Step-by-step explanation:
I got this answer from Khan Academy :)
Help with this guys which is the correct answer:(((
Answer:
A
Step-by-step explanation:
Find tan A.
A. tanA = 12/5
B. tanA = 5/12
C. tanA = 13/5
D. tanA = 5/13
Answer:
tanA=BC/AC
BC=20
AC=48
so,BC/AC=20/48=5/12
Janelle has a babysitting job for the sunumer. She works from 7 AM to 2 P.M. with a 30-minute, unpaid break in the middle of the day. She is paid $4.50 per hour. How much money does Janelle make in 5 days?
Answer: $146.25
Step-by-step explanation:
To solve the question, we need to first calculate the number of hours between 7 AM to 2 P.M which is 7 hours but we are told that there is a 30 minutes break. Therefore, he works for 6 hours 30 minutes which is 6 1/2 hours.
She's paid $4.50 pee hour, therefore the amount paid per day will be:
= 6 1/2 × $4.50
= 6.50 × $4.50
= $29.25
The amount that she'll make in 5 days will be:
= $29.25 × 5
= $146.25
I just need help with these question
Answer:
No links sorry :<
Step-by-step explanation:
Find the slope of a line perpendicular to 4x-y=6
Answer:
The slope is -1/4
Step-by-step explanation:
perpendicular line is [tex]y=-\frac{1}{4}x-6[/tex]
On Wednesday 72% of the costumers who bought gas at a gas station made additional purchases. There were 259 costumers made additional purchase?
Answer:
360 approx
Step-by-step explanation:
Given data
We want to find the total number of customers that bought gas
Let the total number of customers be x
So
72% of x = 259
let us solve for x
72/100*x= 259
0.72*x=259
x= 259/0.72
x= 359.72
Hence the actual number of customers is 360 approx
Solve inequality: -6x < 36
Answer:
x>−6
Step-by-step explanation:
-6x<36
Multiply both sides by -1. ( reverse the inequality )
(-6x) (-1) > 36 (-1)
Simplify
6x > -36
Divide both sides by 6
6x divided by 6 -36 divided by 6
Simplify
x> -6
Hope this helped
Select the correct answer from the drop-down menu.
The square root of 125 is between
Answer:
[tex] \sqrt{125 } \\ = 11.18[/tex]
It is in between 0 to 12.
Answer:
√125 must be between 11 and 12.
Step-by-step explanation:
Identify perfect squares in the neighborhood of 125:
121 = 11^2 or √121 = 11
144 = 12^2 √144 = 12
√125 must therefore be between 11 and 12.
Put 0.4 repeating into a fraction
Answer:
2/5=0.4=40%
Step-by-step explanation:
because if you divide 2/5 you'll get 0.4. if you want to put that in a percent you'll multiply 0.4 and 100 and you should get 40%.
HOPE THIS HELPS
yo girl trin.
A full-service salon charges $15.00 for a haircut and $0.45 per hair roller used in a perm. What is the minimum number of hair rollers that your
budget will allow if you must spend more than $34.00, but less than $50.00 on the haircut and perm?
Answer:
43 hair rollers.
Step-by-step explanation:
The cost of the haircut ($15.00) and the hair rollers (0.45*43) would equal $34.35, just passing the minimum amount of $34.00.
Please help! I need help fast.
Answer:
240 cm^3
Step-by-step explanation:
The solid is composed by two rectangular parallelepipeds. To find the total volume we have to find the volume of the two solids and added up.
To find the volume of a parallelepiped we have to use this formula:
V = base surface x height
The area of rectangle is : base x width
So:
Area first rectangle: 4 x 6 = 24 cm^2
V = 24 x 7 = 168 cm^3
Area second rectangle: 4 x 2 = 8 cm^2
V = 8 x 9 = 72 cm^3
total volume = 168 + 72 = 240 cm^3
identifying trig ratios
Answer:
45 / 53
Step-by-step explanation:
Identity : -
Sin ϴ = opposite / hypotenuse
Sin G = 45 / 53
Which event has a probability of zero or impossible to happen?
A Tossing a coin and landing on heads.
B Rolling an even number on a dice.
C Rolling a 7 on a 6 sided dice.
D The sun rising in the morning
Step-by-step explanation:
C. rolling a 7 on a 6 sided dice
Answer:
The answer is C) Rolling a 7 on a 6 sided dice.
Step-by-step explanation:
Answer choice (A) has a probability of 50%
Answer choice (B) has a probability of 50%
Answer choice (C) has a probability of 0% (There is not a 7 on a six sided dice)
Answer choice (D) has a probability of 100%
Hope this helps:)
The variable k represents a value in the set (-2,-4, -6, -8}.
Which value of k makes 4 (1.5 – k) - 10 = a true statement?
56
Answer:
Added thanks lol :)
Step-by-step explanation:
Simplify the following ratios
of 350:400
Answer:
Step-by-step explanation:
The simplest form is 78.
Pls help, will mark brainliest
Step-by-step explanation:
[tex] \frac{75}{360} = \frac{5}{24} [/tex]
[tex] \frac{19}{6\pi} \times \frac{24}{5} = \frac{76}{5\pi} [/tex]
the area of the circle is
[tex] {x}^{2} \times \pi = \frac{76}{5\pi} [/tex]
x=1,241
Please solve this!!!!
Answer:
k=2
Step-by-step explanation:
-8k+6=-10k+10
-8k=-10k+4
2k=4
k=2
Answer: k=−0.2
Hope this helps!
A number cube with the numbers 1 through 6 is rolled. Find the given probability
Answer:
1/6
Step-by-step explanation:
if 4 is 1/4 what is the whole
Answer:
Step-by-step explanation:
23
Number 17 please help 10 points no links pleAse
Answer:
C
Step-by-step explanation:
Florida is on the 30 mark so its 30 then Alaska is in between 10 and 20 half so half of these numbers is 15 then your going to subtract 30-15 leaving you with 15 and as you can see that answer is presented
look at the rectangle and the square. ada says the length of diagonal SQ is two times the length of diagonal OM. is ada correct? justify your answer and show all of your work your work should state the serum you use to find the length of the diagonals.
Answer:
No Ada is not correct
Step-by-Step Explanation:
The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it.
This would be the Rectangle:
a^2+b^2=c^2
8^2+16^2=c^2
64+256+c^2
320=c^2
√320
17.8
This would be the Square:
a^2+b^2=c^2
8^2+8^2=c^2
64+64=c^2
128=c^2
√128
11.3
Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM.
I hope this helped :3
Which equation represents a proportional relationship between x and y?
A. y = 5x - 6
B. y = x2
C. y = x
D. y = 25 - 2x