Select the correct answer.
Juan needs to rewrite this difference as one expression.
31
25
2 – 75 + 10
3 15
First he factored the denominators.
25
(1-2)(: - 5) — 345 - 5)
What step should Juan take next when subtracting these expressions?
OA.
Cancel the factor x from the numerator and the denominator of both fractions.
ОВ.
Subtract the numerators.
Oc. Multiply the second fraction by = 2
Multiply the first fraction by
OD.
Answers
Answer:
Option C
Step-by-step explanation:
Difference of the two expressions has been written as,
[tex]\frac{3x}{x^2-7x+10}-\frac{2x}{3(x-5)}[/tex]
To rewrite this expression as one expression,
First he factored the the denominators,
[tex]\frac{3x}{(x-2)(x-5)}-\frac{2x}{3(x-5)}[/tex]
Then Juan will make the denominators of both the terms equal,
For which he will multiply the second expression by [tex]\frac{x-2}{x-2}[/tex].
[tex]\frac{3x}{(x-2)(x-5)}-\frac{2x(x-2)}{3(x-5)(x-2)}[/tex]
Option C will be the correct option.
Answer:
C. Multiply the second fraction
Step-by-step explanation:
Related Questions
I need some help on this-
Answers
Answer:
It is 57
Step-by-step explanation:
I am smart
Believe me!
Balloons are smart!
If Bill bikes at an average speed of 8
miles per hour, how many hours will
it take him to ride 24 miles?
198 hours
B
32 hours
3 hours
20 hours
Answers
Answer: your answer is c
Step-by-step explanation: I did this in 4th grade XD
Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?
Part B
What are the zeroes of the above polynomial function?
A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only
Answers
Answer:
Part A: There are 4 zeros of the polynomial function f(x)
Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C
Step-by-step explanation:
The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0
Part A:
In the given graph
∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis
at 4 points
→ That means there are 4 values of x have y = 0
∴ The number of zeroes of the function is 4
∴ There are 4 zeros of the polynomial function f(x)
Part B:
∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)
→ That means the values of x at y = 0 are -4, -1, 0, 2
∴ f(x) = 0 at x = -4, -1, 0, 2
∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2
Solve the proportion 20 over three equals ? / 6
Answers
40/6
need help thank you very
Answers
Answer: 40, -16,-9
Step-by-step explanation:
A. -10+30-20+40
-30+70
70-30
40
b -51+35-0
35-51
-16
c. -6+2-8+3
-14+5
5-14
-9
What is the cost of the bill if a drink costs $3, a meal costs $20, an appetizer costs $5.50 and a slice of cake cost $3. 75?
Answers
Write y - 2 =- 1/3(x + 6) in standard form using integers.
Answers
Answer:
x+3y=0
Step-by-step explanation:
The standard form of the given equation is y = -1/3 x +4.
The given equation is y-2 = -1/3(x + 6)
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, the given equation can be rewritten as
y-2 = -1/3 x + 2
y = -1/3 x + 2+2
y = -1/3 x +4
Therefore, the standard form of the given equation is y = -1/3 x +4.
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ2
Please help out :) struggling
Answers
Answer:
82
Step-by-step explanation:
evaluate means to find the numerical value of the expression
substitute x=9 and y= -2 in the expression 10-4xy
10 -4*9*(-2) = 10+( -4 )(-2)*9= 10+8*9 =82
Consider function f and g
f(x)=x^2+7x
g(x)=3x-1
what is the value of (f•g)(x)
Answers
9514 1404 393
Answer:
B. 9x² +15x -6
Step-by-step explanation:
The composition operator means that function f is applied to function g:
[tex](f\circ g)(x)=f(g(x))=f(3x-1)\\\\=(3x-1)^2+7(3x-1)\\\\=9x^2-6x+1+21x-7\\\\\boxed{(f\circ g)(x)=9x^2+15x-6}\qquad\textbf{matches B}[/tex]
1/2
Store A sells 3 t-shirts for $25. Store B sells the same t-shirts: 5 for $40. Which store has the better deal?
Show your work supporting your answer.
Answers
Answer:
Store B
Step-by-step explanation:
To figure out which store has the better deal, we need to figure out the price per unit. We can do this by dividing the price by the number of the shirts. Store A sells their t-shirts for 8.33 or 8 1/3 dollars per shirt, while Store B sells their shirts for 8 dollars a shirt. 8 < 8 1/3, therefore Store B has the better deal.
Answer:
B.
Step-by-step explanation:
If you do 3/25=5/x. You would get $41.6. Another way to show it is to divide 25/3 and 40/5, which would give us $8.3 and $8.
Question 1 of 10
Which of the following best describes the slope of the line below?
O A. Zero
O B. Positive
O C. Negative
O D. Undefined
Answers
Answer:
B
Step-by-step explanation:
In the slope-intercept form, which variable
represents the slope/measure of change?
Answers
Step-by-step explanation:
Hey there!
We know that the slope intercept is; y = mx+b.
Where "m" represents the slope. And "b" represents the y-intercept.
Example:
If the question is as; y = 3x +8
Then your slope of the slope intercept form is "3" where as "8" is y-intercept.
So, the variable"m" represents the slope.
Hope it helps...
Step-by-step explanation:
Hey there!
We know that the slope intercept is; y = mx+b.
Where "m" represents the slope. And "b" represents the y-intercept.
Example:
If the question is as; y = 3x +8
Then your slope of the slope intercept form is "3" where as "8" is y-intercept.
So, the variable"m" represents the slope.
Hope it helps...
625÷5×6=x what is x
Answers
Answer:
750
Step-by-step explanation:
trust
Evaluate 3k - 4m when k= 20 & m= -2
Answers
Answer:
68
Step-by-step explanation:
3x20=60-4x-2 = 4x-2=-8 60-{ -8}= 68
20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards
Answers
Answer:
3
Step-by-step explanation:
V=πr2h
3
Solving for r
r=3V
πh=3·47.1
π·5≈2.99924
Answer:
3
Step-by-step explaination
I need help with just the last question! :)
Answers
Answer:
the answer is 260
Step-by-step explanation:
Plug 20 in for x in the equation.
Which of the following is equal to log24
Answers
Answer:
Step-by-step explanation:
Put a picture
Evaluate 9-5+(48/2)x5x7+6
Answers
Answer:850
Step-by-step explanation:
I hope it helps
What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
Answers
Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type and conduct an ANOVA test. After the calculation, the F statistic is 1.62 and the p-value is 0.26. What is a correct decision at significance level of 0.1?
Answers
Answer: Fail to reject H0
Step-by-step explanation:
Given that:
P value = 0.26
α = 0.1
The values of both p and α can be compared in other to make a decision on whether to reject or fail to reject the Null hypothesis
Decisions :
If the p value > α (fail to reject null)
If p value < α ( Reject null)
In the scenario above :
0.26 > 0.1 ; p value > α
Since the p value is greater than alpha ; we fail to reject the Null
Hi I know its a lot of rate of change I just don't understand
Answers
Answer:
[tex]m=4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, 0)
Point (1, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{1-0}[/tex]Subtract: [tex]m=\frac{4}{1}[/tex]Divide: [tex]m=4[/tex]Find the measure of angle 1
Answers
Answer:
∠1 = 116
Step-by-step explanation:
Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:
57 + 59 + x = 180
116 + x = 180
subtract 116 from both sides
x = 64
So now u have the inner angle, and a straight line is also 180 degrees, so:
64 + ∠1 = 180
subtract 64 from both sides
∠1 = 116
Explanation: here we are going to use external formula so we will do 57+59 which equals 116
find the values of x and y?
Answers
Answer:x=20 y=70
Step-by-step explanation:
Answer:
x=20, y=70
Step-by-step explanation:
∠40°+∠adjacent to it =180°
∠adjacent= 180-40=140°
we see that 2 of the sides of one of the small triangles are congruent so that triangle is isoscel so the base angles are congruent as well
because sum of angles in a triangle has to be 180,
140 +x+x=180 so x=20°
from the right triange we see thhat y +90+20 =180 because sum of angle in a triangle has to be 180 so y=70
Order these three values from least to greatest. Explain or show your reasoning.
65% of 80 82% of 50 170% of 30
Answers
The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)
Explanation:
The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.
1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:
80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know
2. 82% of 50 - Repeat the same process
50 / 100 = 0.5 x 82 = 41
3. 170% of 30
30 / 100 = 0.3 x 170 = 51
4. Finally organize the values
82% of 50 (41)
170% of 30 (51)
65% of 80 (52)
Based on the information given about the percentages ,the ordering will be 82% of 50, 170% of 30, and 65% of 80.
Percentages.It should be noted that 82% of 50 will be:
= 82% × 50
= 41
170% of 30 will be:
= 1.7 × 30
= 51
65% of 80 will be:
= 65% × 80
= 0.65 × 80
= 52
Learn more about percentages on:
https://brainly.com/question/24304697
Im stumped and timed.
Answers
10. Madison is 7 less than four times as old as Paige.
Answers
answer this. 60+80=??
இ௰இ please-
Answers
Answer:
140
Step-by-step explanation:
just add them together
Answer:
Itssss 140 yayyyyyyyyyyyyy
Place the steps in the correct order for solving the equation
8+- 6 - 5 = 8x + 1 - 3x
= -3 + 2 = 5x +1
= -3 -1 = 4x +1 -1
= -3 + x - x = 5x - +1
= -3 = 4x + 1
1 = 4
= -4 = 42
= x= -1
Answers
Answer:
say whaaaaaaaaat
Step-by-step explanation:
Step-by-step explanation:
8+x-6-5=8x+1-3x
-3+x=5x+1
-3+x-x=5x-x+1
-3=4×+1
-3-1=4x+1-1
-4=4x
-4/4=4x/4
x= -1
why do you multiply both sides 4/3 represent in the arithetic.
Answers
Answer:
I don't even know what arithetic is
Step-by-step explanation:
I NEED HELP QUICK. GIVING BRAINLIEST TO QUICKEST CORRECT ANSWER.
The __________ states that the firing rate of neurons in the auditory nerve matches the frequency of the sound wave.
A. frequency theory
B. place theory
C. volley principle
D. auditory principle
Answers
Answer:
C. volley principle
Step-by-step explanation: