Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, what would be the area, in square inches , of the new rectangle in terms of x
Answer:
Option (4)
Step-by-step explanation:
Area of a rectangle = Length × width
If the dimensions of the given rectangle is doubled,
Area of the new rectangle = 2(Length) × 2(width)
= 4(Length × width)
= 4(x)(x - 2)
= 4[x² - 2x]
= 4x² - 8x
Therefore, Option (4) will be the correct option.
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
look at graph
1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12
Answer:
-14x+12
Step-by-step explanation
f(x)=-14
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.
How old is Marjorie?
Answer:
She is 40 years of age
Step-by-step explanation:
Let Joaquin age be j
Let Marjorie age be m
From the first part of the question;
j = 4 + m/2
Secondly;
m =3j - 32
Multiply equation i through by 2
2j = 8 + m
m = 2j-8
Equate both m
2j-8 = 3j-32
3j-2j = 32 -8
j = 24
m = 2j-8
m = 2(24)-8
m = 48-8
m = 40
Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)
Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?
Answer:
It will take 50 seconds for the pebble to reach the height
Step-by-step explanation:
To calculate the time, simple substitute h(t) for 32,500
So we have
32,500 = 20,000 + 5t^2
5t^2 = 32,500-20,000
5t^2 = 12500
t^2 = 12500/5
t^2 = 2500
t = square root of 2500
t = 50 seconds
What is the value of the equation -2/3x + 9 = 4/3 x -3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x -12\\\\x = \frac{-12}{-2}\\\\x = 6[/tex]
Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4
Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
Find the width of the Brady river.
Answer:I think its 5miles
Step-by-step explanation:
hope this helps!
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
Plz help Me on this question
Answer:
what is it
Step-by-step explanation:
Answer:
Naruto
Step-by-step explanation:
Uzmaki
what is the (gcf) of 18 and 72?
Answer:
18
Step-by-step explanation:
The GCF is also known as the greatest common factor. Every number can be written as the product of at least 2 numbers, and almost every number has at least one factor that is a prime number (or a number that is only divisible by 1 and itself).
Let's find the prime factorization of 18 and 72; in other words, let's find what prime numbers make these numbers up.
18 = 2 * 9 = 2 * 3 * 3 ⇒ notice that while 9 isn't a prime number, 2 and 3 are
72 = 2 * 36 = 2 * 2 * 18 = 2 * 2 * 2 * 3 * 3 ⇒ again, 2 and 3 are primes
In finding the GCF, we want to find the largest value of the prime numbers that the two numbers share.
Here, we see that both 18 and 72 have at least one factor of 2 and at least two factors of 3. So, that's the greatest common factor: 2 * 3 * 3 = 18.
i need help !! asap please !!!
PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
dark blue is the answer
Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.
Answer: C
Step-by-step explanation: Just did khan academy
what is the missing term in the factorization?
18m^2-200 2(3m-10)(3m+?)
A). -100
B). -10
C). -3
D). 3
E). 10
Answer:
2 ( 3m -10) (3m+10)
Step-by-step explanation:
18m^2-200
Factor out 2
2 ( 9m^2 -100)
We recognize that this is the difference of squares ( a^2 -b^2) = (a-b)(a+b)
2 ( ( 3m)^2 - 10^2)
2 ( 3m -10) (3m+10)
45% of _____________is 165
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
helpppppp me plssss
uh
Answer:
Step-by-step explanation:
-n+1
Step-by-step explanation:
(n+2)-(2n+1)
=n+2-2n-1
=n-2n+2-1
=-n+1
Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line
Answer:
y = -3x - 2
Step-by-step explanation:
Given the coordinates (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.
The standard form of the equation is expressed as;
y = mx+c
m is the slope
m = y2-y1/x2-x1
m = 1-4/-1+2
m = -3/1
m = -3
get the y-intercept c;
Substitute m = -3 and any point say (-1,1) into the equation y = mx+c
1 = -3(-1) + c
1 = 3 + c
c = 1-3
c = -2
Get the required equation;
y = mx+c
y = -3x + (-2)
y = -3x - 2
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
Write the equation of the line in slope-intercept form and general form.
(4, 2) (-3,9)
Answer:
y = -7x + 30
Step-by-step explanation:
Which of the following triangles is a unique triangle that could not be
rearranged into a different size or shape?
Answer:
im pretty sure its option 3
Step-by-step explanation:
its unique
Answer:
Option 2
Step-by-step explanation: Option 2 is the only one with all three angles. this leads to it not being able to change shape without messing this size and angles up.