Answer:
[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]
Step-by-step explanation:
We are given:
[tex]0=3x^4-48[/tex]
Factor:
[tex]0=3(x^4-16)[/tex]
Difference of Two Squares:
[tex]0=3(x^2-4)(x^2+4)[/tex]
Zero Product Property:
[tex](x^2-4)=0\text{ or } x^2+4=0[/tex]
Solve:
[tex]x^2=4\text{ or } x^2=-4[/tex]
Take the square root. Since we are taking an even-root, it requires plus/minus:
[tex]x=\pm 2\text{ or } x = \pm 2i[/tex]
Write an equation in point-slope form of a line that has a slope of -2 and
passes through the point (2, 3).
Answer:
y=-2x+7
Step-by-step explanation:
Please gimme brainliest!!
Answer:
y-3=-2(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-3=-2(x-2)
what is the area of triangle DEF
Answer: 588 centimeters
Answer:
C: 588 square centimeters
Step-by-step explanation:
A= 1/2(b)(h)
base: 42
height: 28
A = 1/2(42)(28)
A = 1/2(1176)
A = 588
The line models the cost of renting a bike. It costs $2 per hour plus a $4 deposit. Write an equation in slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike. How much does it cost to rent a bike for 3 hours?
Answer:
Step-by-step explanation:
2 votes
ANSWER PLSSSSSS A delivery truck traveled 133 miles in 3.5 hours. What was the average speed of the delivery truck in miles per hour?
Answer:
38 Miles Per Hour
Step-by-step explanation:
133 / 3.5 = 38
Answer:
He went 38 miles on one hour.
Step-by-step explanation:
You would do the equation 133/3.5
133/3.5 = 38
A rental car agency charges $160.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $340.00?
Answer:
720 miles
Step-by-step explanation:
let 'm' = # miles you can travel for $340
340 = 160 + .25m
180 = .25m
m = 180/.25
m = 720
Please HELP will give Brainliest!!
Graph the following functions on the same set of axes for -20 < x < 21.
y= sinx
y= sin(x - 2)
y= sinx+ sin(x - 2)
Step-by-step explanation:
blue=sin x
red= sin(x-2)
green= sin x+sin(x-2)
Max is selling iPhone cases online. He offers two colors red and green. The red
cases (x) cost $10 each and the green cases (y) cost $20 each. He is trying to sell at
least $500 worth of cases each week. Create an inequality and graph it below.
Please state a combination of cases that meets his goal.
(Scale suggestion 1 box = $5)
Answer:
See belowStep-by-step explanation:
Red cases x = $10 eachGreen cases y = $20 eachMinimum target is $500Required inequality:
10x + 20y ≥ 500The graph is attached
Some combinations:
50 red or 25 green or 18 of each color etc.Any combination of positive numbers in the shaded region.Howdy;)
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Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0
Correct equation is;
x³ - 7x² + 4x + 12 = 0
Answer:
All the real solutions are -1, 2 and 6
Step-by-step explanation:
The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.
Now, I have plotted a graph of this function and attached it.
From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.
Therefore all the real solutions are -1, 2 and 6
Write the equation of the line in slope intercept form. Given the slope is 5 and the y-intercept is -8 (3pts)
Answer:
y=5x-8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written
using function notation?
flv -v+
f(x) = - 3x + 4
f(x) = - *x+
f(V) = - 3y + 4
Answer:
b) y = f(x) = -3x+4
Step-by-step explanation:
Explanation
Given that the equation 9x+3y =12
Let 'x' be an independent variable and 'y' be the dependent variable then the function is of the form
y = f(x)
3 y = 12 - 9x
[tex]y = \frac{-9x+12}{3}[/tex]
y = -3x+4
The function represented by y = -3x+4
PLEASE HURRY I NEED THIS ANSWERED Which expressions are equivalent?
Answer:B
Step-by-step explanation:
B because 3 is still x answers are just flipped
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points)
Answer:
A.P(t) = Po (1 + r)^t
P(t) = 1200( 1 + 0.024)^t
B. 1417 termites
Step-by-step explanation:
Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day.
A. Formulate an equation in exponential form that represents the termite situation.
The formula for exponential growth or increase =
P(t) = Po (1 + r)^t
Where:
P(t) = Population growth after time t
P(o) = Initial Population = 1200 termites
r = Growth rate = 2.4% = 0.024
t = Time in days
Hence, the equation in exponential form that represents the termite situation is given as:
P(t) = 1200( 1 + 0.024)^t
B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination.
The time of extermination = 1 week
1 week = 7 days
Hence,
t = 7 days
P(t) = Po (1 + r)^t
P(7) = 1200( 1 + 0.024)⁷
P(7) = 1200(1.024)⁷
P(7) = 1416.7099449 termites
Approximately
= 1417 termites
Given the diagram below, find the value of x:
a
27.5
b
62
c
8.5
d
31
Answer:
x = 31
Step-by-step explanation:
The 3 angles in a triangle sum to 180°
Sum the 3 given angles and equate to 180
2x - 7 + 2x + 63 = 180, that is
4x + 56 = 180 ( subtract 56 from both sides )
4x = 124 ( divide both sides by 4 )
x = 31
What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?
Answer:
measurement square meter
Step-by-step explanation:
thats good answer
sana po makatulong po sa inyo
po....................
help me out with this pls (multiple choice)
Answer:
45 45 90 special triangle
7√2 = √98
x² + y² = 98
x = y
x² + x² = 98
2x² = 98
x² = 49
x = 7
y = 7
ANSWER: c
How do I write a polynomial with nine roots? Do I just have to make sure I have x^9 or is that wrong?
Step-by-step explanation:
Yes, the degree of the of the polynomial will tell how much roots it has.
A linear equation with degree has one root so it only has 1 possible answer.
A quadratic equation with the degree of 2 has two possible roots.
So write a polynomial equationcwith the highest degree of 9.
Describe and correct the error in solving the following rational equation , plz help!!!!!
First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.
I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.
Correction:
[tex]\frac{x}{x+1} = \frac{2}{x+1}\\(\frac{x+1}{1}) (\frac{x}{x+1}) = (\frac{2}{x+1})(\frac{x+1}{1}) \\x = 2[/tex]
as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.
Hope this helps!
One jar of spaghetti sauce is made with 2/3 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
4
Step-by-step explanation:
2/3 for 1 jar | meaning that: 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 1 jar: 1 cup (1/3 left) | 3/3 are left, and that makes another one (the 4th one).
Slope 7; (4,-30 equation
Answer: y=7x-68
Step-by-step explanation: Ok so you would use point slope to slope so plug the points in. y+30=7(x-4) then if you need to convert it further into slope intercept form just simplify and distribute. So y+30=7x-28, subract 30 from both sides to get y=7x-68
Hence, the slope of line is [tex]y=7x-58[/tex].
What is the slope of line?
The slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be easily determined by finding the difference between the coordinates of the points.
The slope is usually represented by the letter ‘m’.
Here given that,
Slope is [tex]7[/tex] and the coordinates of [tex](x,y)=(4,-30)[/tex].
As we know slope of line is
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope.
So,
[tex]y+30=7(x-4)[/tex]
Now convert it further into slope intercept form
[tex]y+30=7x-28\\\\y=7x-28-30\\\\y=7x-58[/tex]
Hence, the slope of line is [tex]y=7x-58[/tex].
To know more about the slope of line
https://brainly.com/question/12203383
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7x+3(-4x-2)=-6 how do i solve
Answer:
Step-by-step explanation:
7x+3 (-4x-2)=-6
remove the parenthesis
7x-12x-6=-6
-5x=0
x=0
How to solve your question- 7
Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid
Answer:
[tex]Density = 1.094g/cm^3[/tex]
Step-by-step explanation:
Given
[tex]Length = 17.7cm[/tex]
[tex]Width = 8.3cm[/tex]
[tex]Height = 13.0cm[/tex]
[tex]Mass = 2090g[/tex]
See attachment
Required
Determine the density of the wood
First, we calculate the volume of the wood.
[tex]Volume = Length * Width * Height[/tex]
Substitute values for Length, Width and Height
[tex]Volume = 17.7cm * 8.3cm * 13.0cm[/tex]
[tex]Volume = 1909.83cm^3[/tex]
The density is:
[tex]Density = \frac{Mass}{Volume}[/tex]
[tex]Density = \frac{2090g}{1909.83cm^3}[/tex]
[tex]Density = 1.094g/cm^3[/tex] --- approximated
x take away 5 is less than 8
Pls help me with my homework
Answer:
NO
Step-by-step explanation:
It is a right triangle if the thee sides satisfy the following pythagorean triple rule/theorem, c² = a² + b², where,
c is the longest side = 50
a = 15
b = 49
Let's check:
50² = 15² + 49²
2500 = 2626 (this is not true).
Therefore, the triangle is not a right triangle. The answer is NO.
Emma receives a large box in the mail.The box is 10cm longer than it wide,and the height is 6 cm more than the width
Answer:
y³+16y²+60y
Step-by-step explanation:
Complete question
Emma receives a large box in the mail. The box is 10cm longer than it wide, and the height is 6 cm more than the width. Find the polynomial function for volume of the box
Let the length be x
Let the width be y
let the height be z
If the box is 10cm longer than it wide, then x = y + 10
Also if the height is 6 cm more than the width,
z = y + 6
Volume of the box = xyz
Substitute
Volume of the box = (y+10)(y)(y+6)
Volume of the box = (y+10)(y²+6y)
Volume of the box = y³+6y²+10y²+60y
Volume of the box = y³+16y²+60y
Hence the required polynomial function is y³+16y²+60y
Note that the question asked was assumed
Uh, what's 2+2 plus 8 plus 9 plus 10take away 100
Answer:
21
Step-by-step explanation:
Answer: -69
Step-by-step explanation:
if the simple interest on $5000 for 5 years is $1500 then what is the interest rate?
Answer:
6%
Step-by-step explanation:
Simple interest: A = P(1 + rt)
Solve for r: r = (1/t)((A/P) - 1)
Given:
A = $1500 + $5000 = $6500
P = $5000
t = 5 yrs
r = (1/5)((6500/5000) - 1)
= (1/5)(0.3)
= 0.06
0.06 = 6%
PLZ HELP ME WITH THIS QUESTION!
Answer:
C
Step-by-step explanation:
What is the slope????
Answer:
-6
Step-by-step explanation:
is that quizzes join lol
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
A) 10x - 25y + 18 - 25x + 10y - 3
B) -15x - 15y + 15
C) -10x + 25y + 18 + 25x - 10y + 3
B) 35x - 35y + 21
Answer:
D. 35x-35y+21
Step-by-step explanation:
Would the 2nd answer here be correct?
Answer:
yes (i think im not for sure)
Step-by-step explanation: