Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
What is the percent of change? Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150
Answer:
1)increase
2)50%
Explanation:
Use the formula↓
(y2 - y1) / y1)*100
(150 - 100) / 100) * 100 = 50 %
y1= first value
y2= second value
PLEASE HELP! i have by the end of the day to turn this in, PLEASE DONT GUESS
Answer:
45 degrees
Step-by-step explanation:
All 3 angles have to add up to 180, so you have:
[tex]x + 32 + 103 =180[/tex]
[tex]x + 135 = 180[/tex]
subtract 135 from both sides
[tex]x = 45[/tex]
Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?
Answer:
0.32
Step-by-step explanation:
just divide
Answer:
$6
Step-by-step explanation:
25%= 1/4
8 divided by 4 =2
$2 is what is taken off
$8-$2 which is $6
The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
A team in the Department of Institutional Review at a large university wanted to study the relationship between completing an internship during college and students' future earning potential. From the same graduating class, they selected a random sample of 80 students who completed an internship and 100 students who did not complete an internship and examined their salaries 5 years past graduation. They found that there was a statistically higher mean salary for the internship group than for the non-internship group. Which of the following interpretations do you think is the most appropriate?
A. More students should take internships because having an internship produces a higher salary.
B. There could be a confounding variable, such as student major, that explains the difference in mean salary between the internship and no intership groups.
C. You cannot draw any valid conclusions because the samples are not the same size.
Answer:
b
Step-by-step explanation:
The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)
Answer:
y - 7 = 1 (x-5)
Step-by-step explanation:
The point slope equation of a line is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the following
m = 1
(x0, y0) = (5, 7)
Substitute into the formula
y - 7 = 1 (x - 5)
y - 7 = x -5
y = x - 5 + 7
y = x + 2
Hence the point slope equation of the line is y - 7 = 1 (x-5)
Sireuווווורוורי דוי יורודות
ICC.
In...
Problem ID: PRA3MGT
221
R
3.xº
4x
Write an equation for the angle relationship shown in the figure.
КәБебиә
Answer:
I have no clue what this is but ok
PLS HELP ME WITH THIS ALGEBRA!
A salt solution contains 10% salt and weights 80g. How much pure water must be added so that the percentage of salt drops to 4%
Answer:
120 gStep-by-step explanation:
A salt solution contains 10% salt and weights 80g.
Salt content of the solution is:
80*0.1 = 8 g4% solution has 8 g salt, total solution is:
0.04x = 8x = 8/0.04 = 200 gWater to be added:
200 - 80 = 120 gGiven the area of a circle to be 10 inches^2 what is the radius and the diameter the circumference
Answer:
Radius = 1.78 inches
Diameter = 3.56 inches
Circumference = 11.18 inches
Step-by-step explanation:
Area of circle = 10 inches square
[tex]\pi r^2 = 10\\r^2 = \frac{10}{3.14}\\r^2 = 3.18\\\sqrt{r^2}=\sqrt{3.18}\\r=1.78[/tex]
Radius = 1.78 inches
Diameter = 2r = 2(1.78) = 3.56 inches
Circumference = 2πr = 2*3.14*1.78 = 11.18 inches
Pls help me I’ll brainlest due in 10 minutes
Answer:
7.65
Step-by-step explanation:
Add 1.8 to 5.85 to find initial height
7.65 just add the 2 I answered first btw! Give brainliest pls since im first.
Steven and Mark each carried 48 ounces of juice for trekking. At the end of their journey, Steven's juice bottle was 3/4 empty and Mark's bottle was 2/3 empty. Which of the following sentences is correct?
A. 28 ounces of juice was remaining at the end of their journey.
B. 4 ounces of juice was left at the end of their journey.
C. Mark drank 36 ounces of juice during the journey.
D. Steven drank 32 ounces of juice during the journey.
Answer:
A, C and DStep-by-step explanation:
Initial volume of juice = 48 ounces each
Mark
Used: 48*3/4 = 36 ouncesLeft: 48 - 36= 12 ouncesSteven
Used: 48*2/3 = 32 ouncesLeft: 48 - 32 = 16 ouncesTotal remaining juice: 12 + 16 = 28 ounces
Correct choices: A, C and D
Mike Jones bought an older house and wants to put in a new concrete driveway. The driveway will be 30 feet long, 10 feet wide, and 9 inches thick. Concrete (a mixture of sand, gravel, and cement) is measured by the cubic yard. One sack of dry cement mix costs $7.30, and it takes four sacks to mix up 1 cubic yard of concrete. How much will it cost Mike to buy the cement
Answer:
$26280
Step-by-step explanation:
Cuz i said so
Tara needs an $8,000 personal loan.
Which loan option would require her to pay back the least amount of money?
36-month loan with a 9% annual simple interest rate
42-month loan with a 7% annual simple interest rate
48-month loan with an 8% annual simple interest rate.
54-month loan with a 6% annual simple interest rate
The least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
What is simple interest?The term simple interest refers to a type of interest that is paid only on the principal and not on the interest. We have to note that the time and the interest rate all contribute to increasing the amount of money to be paid back.
In the first case, the amount to be paid back is;
A = $8,000 + ($8,000 * 9 * 3/100)
= $10160
In the second case;
A = $8,000 + ( $8,000 * 7 * 3.5/100)
A =$ 9960
In the third case;
A = $8,000 + ($8,000 * 8 *4/100)
A = $10560
In the fourth case;
A = $8,000 + ($8,000 * 6 * 4.5/100)
A = $10160
Hence, the least amount is paid back in a 42-month loan with a 7% annual simple interest rate.
Learn more about simple interest: https://brainly.com/question/26437826?
Find the area of these shapes
Answer:
Step-by-step explanation:
Left figure:
area of rectangle = 4×6 = 24 cm²
area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4 = 12 cm²
area of shape = 24+12 = 36 cm²
Right figure:
area of rectangle = 6×8 = 48 m²
area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²
area of shape = 48+8 = 56 m²
Help ASAP! 25 points! I will also give brainliest!
Answer:
756 m²
Step-by-step explanation:
I just know the answer XD
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
b
Step-by-step explanation:
Answer:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Checking option A:
(2, 4), (0, 2), (2, -4), (5,3)
Here, the input x = 2 is repeated twice.
Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option B:
(1,6), (2,7),(4,9), (0,5)
It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.
Thus, the option B represents the function.
Checking option C:
(0, 2), (2, 3), (0, -2), (4,1)
Here, the input x = 0 is repeated twice.
Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option D:
(1, 2), (1, -2), (3, 2), (3, 4)
Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,
Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.
Conclusion:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Exercise
Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the membership and
some songs. Use the expression in part (b) to write an equation that can be used to determine how many
songs Sophia's friend can buy
Answer:
Step-by-step explanation:
Lin ran 2 3/4 miles in 2/5 of an hour
Noah ran 8 2/3 miles in 4/3 of an hour
Who ran faster?
Answer:
Lin runs faster
Step-by-step explanation:
Lin: 11/4 ÷ 2/5 = 11/4 · 5/2 = 55/8 or 6.875 mph
Noah: 26/3 ÷ 4/3 = 26/3 · 3/4 = 13/2 or 6.5 mph
Select the correct answer. For which quotient is x=7 an excluded value?
Answer:
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
Step-by-step explanation:
Given
See attachment
To answer this question, we start by equating the denominators of each option to 0; then, solve for x
(a):
[tex]\frac{7x}{x^2 - 10x + 21} / \frac{x + 7}{7}[/tex]
This gives
[tex]\frac{7x}{x^2 - 10x + 21} * \frac{7}{x + 7}[/tex]
Set the denominator to 0
[tex](x^2 - 10x + 21)(x + 7) = 0[/tex]
Solve for x
[tex](x^2 - 7x - 3x + 21)(x + 7) = 0[/tex]
Factorize:
[tex](x(x - 7) - 3(x - 7))(x + 7) = 0[/tex]
[tex](x - 7)(x - 3)(x + 7) = 0[/tex]
This implies that:
[tex]x = 7\ or\ x = 3\ or\ x = -7[/tex]
From above, one of the values of x is 7.
This implies that x = 7 is an excluded value for this quotient.
Other options do not need to be checked, since there is only one answer.
Answer:
A
Step-by-step explanation:
Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
64 hr to 72 hr
Answer:
8/9
Step-by-step explanation:
Find the HCF of 64 , 72
64 = 2 * 2 * 2 * 2 * 2 *2 = 2^6
72 = 2 * 2 * 2 * 3 * 3
HCF = 2*2*2 = 8
64 : 72 = [tex]\frac{64}{72}[/tex]
= 64 ÷ 8
72 ÷ 8
[tex]=\frac{8}{9}[/tex]
Does 6.3=6.33 plz help
no
it does not
6.3 is 6.30
6.33 is not equal to 6.30
so the answer is No
Which table represent the statement "A computer repairman makes $25 per hour"?
Answer:
c
Step-by-step explanation:
rob is saving to buy a new mp3 player. for every $15 he earns babysitting, he saves $8. On Saturday, Rob earned $90 babysitting. how much money did he save?
Answer: 42
Step-by-step explanation: 15 -8=7 90/15=6 6*7=42
What is the measure of Angle A B C ? 36° 43° 72° 144°
Step-by-step explanation:
the correct answer is C because the measurementor an angle cannot be under 72 :)
Answer:
36
Step-by-step explanation:
1. Louis ran a race in 2.4 minutes. Laura ran the same race in 124 seconds. What is the difference between the two times?
Answer:
20 sec
Step-by-step explanation:
2.4 in = 144 sec
124
144 - 124 = 20
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answer:
1 1/4 miles
Step-by-step explanation:
which expression is equivalent to (3c)-2?
Answer:
Assuming that the notation there is meant as:
[tex](3c)^{-2}[/tex]
then the answer would be 1/(9c²)
If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2
The expression equivalent to 1/9c².
What is expression?An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .
An equation states that two expressions are equal in value,
for example 4 b − 2 = 6 .
Given:
[tex](3c)^{-2}[/tex]
To make the power positive, just do the reciprocal
=1/ (3c)²
=1/9c²
Hence, the expression
[tex](3c)^{-2}[/tex] is equivalent to 1/9c².
Learn more about expression here:
https://brainly.com/question/11742947
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In a triangle, the sum of the lengths of any two legs must be ______________ the length of the third leg.
Plz help this is due in 40 minutes
Answer:
Step-by-step explanation:
Sum of two sides must be longer than the third.
a recipe for 30 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons of sugar, will the cookies taste the same? HELP ASAP WILL MARK BRAINLISET IF CORRECT
HOW MANY TIMES DOES 9 DIRECTLY PRECEDE 2 IN THIS SEQUENCE: 12909296292629
9 directly precede 2, 4 times, in the sequence, 12909296292629.
What is a sequence?An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).
In the given sequence,
12909296292629,
there are 4 such 9's that are preceded by 2 immediately.
That means, for the clear representation,
1-29-09-29-6-29-26-29
Therefore, there are 4 such 9's that are preceded by 2.
To learn more about the sequence;
https://brainly.com/question/21961097
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