Step-by-step explanation:
f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)
= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).
The roots of f(x) are x = -3, -1 and 1.
=> The new roots are x = -5, -3 and -1.
=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.
Write fraction or mixed number as decimal 27/75
9/3. 5/14 hope that's the right awnser
0.36. i just had this question and got it right. :)
Shannon, Oscar, and Ella contribute the same amount to their father’s gift. Their older sister Moriah contributes $12. How much does Oscar contribute if the total for the gift is $36? Write and solve an equation.
Answer:
Amount contributed by Oscar = $8
Step-by-step explanation:
Given that:
Amount spent on gift = $36
Amount contributed by Moriah = $12
Let,
x be the amount contributed by each of them.
Thus,
Gift total = Contribution of all
36 = x+x+x+12
36 = 3x+12
3x+12 = 36
3x=36-12
3x=24
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]
Hence,
Amount contributed by Oscar = $8
How many gallons of a 50% antifreeze solution must be mixed with 80 gallons of 30% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
You need ___ gallons.
32) Write a compound inequality that represents the given graph:
A. 6≤x 10
D. 6
Answer:
6 < x ≤ 10
Step-by-step explanation:
The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).
That is: x > 6 and x ≤ 10
This can be written as: 6 < x ≤ 10
Help Please!!!!!!!!!!!!
Answer:
The answer is 11 :) Have a Happy Thursday !!
x-2y what is the coefficient of x
Answer:
the coefficient of x is an implied 1
any variable that's by itself without a coefficient has an implied 1
Step-by-step explanation:
I hope this helps :)
QUICK WILL GIVE BRAINLIEST.
Answer:
-5
Step-by-step explanation:
here u go! hope i got it fast enough!
Answer:-5
Step-by-step explanation:
When there are two minuses It becomes plus
The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?
Answer:
y = -2x + 7/6
Step-by-step explanation:
y-2/3=-2(x-1/4)
Distribute the -2
y-2/3=-2x+ 2/4
y - 2/3 = -2x + 1/2
Add 2/3 to each side
y - 2/3 + 2/3 = -2x + 1/2 + 2/3
Get a common denominator
y = -2x + 3/6 + 4/6
y = -2x + 7/6
Answer:
y=-2x+7/6
Step-by-step explanation:
The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.
y-2/3=-2(x-1/4)
(1/4, 2/3) is the point and the slope is -2
The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.
y=(-2)x+b **Substitute the slope into m**
(2/3)=-2(1/4)+b **Substitute the points in as x and y**
2/3=-2/4+b
14/12=b **Add 2/4 to both sides**
14/12 is the same as 7/6
7/6 is the y-intercept
y=-2x+7/6
Express 14 as a percent
140%
1.4%
14%
0.014%
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
Between which two numbers on the number line is B?
A between 2 and 3
between 3 and 4
С.
between 4 and 5
D. O between 5 and 6
Answer:
C. Between 4 and 5.......
E
3/4 log 16
I want to see the solving
Question 2 of 10
What is the center of the circle shown below?
A. 7.8
В. ЈК
C. K
D. J
Answer:
its 100% JK
Step-by-step explanation:
in accounting, a claim against a customer is called
Answer:
It is called "an account receivable"
Step-by-step explanation:
Lauren owns 28 acres of land which she rents to a rancher for $3603 per acre per year. Her property taxes are $942 per acre per year. How much profit does she make on the land each year?
a) $99,942
b) $127,260
c) $101,826
d) $74,508
Answer:
B)$127,260
Step-by-step explanation:
28 x 3603= 100884
942 x 28=26376
100884 + 26376= B) $127260
Help me out please !!!!!!
Given:
A line segment AB on a coordinate plane.
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
To find:
The coordinates of A' and B'.
Solution:
From the given graph, it is clear that the coordinates of A and B are A(1,3) and B(5,1).
The rule of translation is
[tex]f(x,y)\to (x-6,y-3)[/tex]
Using this rule, we get
[tex]A(1,3)\to A'(1-6,3-3)[/tex]
[tex]A(1,3)\to A'(-5,0)[/tex]
And,
[tex]B(5,1)\to B'(5-6,1-3)[/tex]
[tex]B(5,1)\to B'(-1,-2)[/tex]
Therefore, the coordinates of A' and B' are A'(-5,0) and B'(-1,-2).
Explain the similarity and differences of standard normal distribution and a normal distribution.
Answer:
Okau
Step-by-step explanation:
Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.
Which of the following is the closest estimate to the value of n? 223÷72=n
Answer:
121
Step-by-step explanation:
What is the square root of ten
Answer:
The square root of 10 is 3.16
Step-by-step explanation:
I hope that this helps you out..
Mel earns $15 per hour working at a bakery. How much does he earn if he
works for 5 hours?
A. $30
B. $155
C. $75
O D. $105
A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?
Answer:
[tex]Blue = 12[/tex]
[tex]Yellow = 9[/tex]
Step-by-step explanation:
Given
[tex]Blue : Yellow = 4 : 3[/tex]
Required
Determine the number of pints of each to make 21 of green paints
First, calculate the total ratio.
[tex]Total = 4 + 3[/tex]
[tex]Total = 7[/tex]
The blue and the yellow pint can be represented individually as:
[tex]Blue = \frac{4}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
Number of blue paint calculated last week is:
[tex]Blue = \frac{4}{7} * 21[/tex]
[tex]Blue = {4} * 3[/tex]
[tex]Blue = 12[/tex]
[tex]Yellow = \frac{3}{7} * Green[/tex]
[tex]Yellow = \frac{3}{7} * 21[/tex]
[tex]Yellow = {3} * 3[/tex]
[tex]Yellow = 9[/tex]
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Let,
x be the pounds of type A coffee used
y be the pounds of type B coffee used
According to given statement;
4.15x+5.25y=980.85 Eqn 1
y = 4x Eqn 2
Putting y=4x in Eqn 1
4.15x+5.25(4x) = 980.85
4.15x+ 21x = 980.85
25.15x = 980.85
Dividing both sides by 25.15
[tex]\frac{25.15x}{25.15}=\frac{980.85}{25.15}\\x=39[/tex]
Hence,
39 pounds of type A coffee were used.
Please help I will like and brainy
Answer:
Ok ill help u ! What do u need help on?
Graph the system of equation:
Y=-5/3x+3
Y=1/3x-3
Answer: first picture is for y=-5/3x + 3
Step-by-step explanation:
Three runners are running a relay race. The first runner runs 3 2/3 miles , the second runner runs
2 2/3miles, and the last runner runs 1 1/6 miles.
How many miles was the whole race?
Answer:
I think its uh carrot
Step-by-step explanation:
Kamani can run 1 lap in 6 minutes. How many laps can she run in 18 minutes? If she runs 7 laps every day, how many minutes does she run everyday?
simple math! i'll
mark you if you get it right
Answer:
175
Step-by-step explanation:
Brainly plsss
Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.
Mike had $184 and he is earning $50 per week.
Answer:
Cost = 184+50w
Step-by-step explanation:
Given statement is "Mike had $184 and he is earning $50 per week".
Here, $184 is fixed and $50 increases per week.
Let w is the variable.
ATQ,
Cost = 184+50w
Hence, the algebraic expression for the given statement is 184+50w.
(21.) A writer earns $3400 a month. Last month she spent $204 on food.
What percent of her income was spent on food?
Answer: 6%
Step-by-step explanation:
3400's x%=204
(3400)x/100=204
34x=204
34x/34=204/34
I used my calculator to divide
x=6
So 6%