Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Given ΔGHJ, complete the following statements. The included angle of sides JG and GH is angle . Angle H is the opposite angle to side . The side opposite to ∠J is side .
Answer:
G , JG, GH are the answers
Step-by-step explanation:
I’m so sorry the wretarded Billie Eyelash Stan couldn’t answer your question the first time :( but luckily my awesome smartness came along and gave you the answer, yes, yes. no problem anytime ;)
Answer:
G , JG, GH are the answers
Step-by-step explanation:
i just did it 100%
I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME
Answer:
9
Step-by-step explanation:
someone help me on my homework before i lose my sanity pls its my most recent question im done <3
Find the equation of the line parallel to x+3y = 4 and passing through the point (2, 5)
Answer:
The equation of the parallel line is x + 3y = 17
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercept
The form of the equation y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is x + 3y = 4
→ We must put it in the form above to find its slope
→ Subtract x from both sides to move x to the right side
∵ x - x + 3y = 4 - x
∴ 3y = 4 - x
→ Divide both sides by 3 to make the coefficient of y = 1
∴ [tex]\frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x[/tex]
∴ y = [tex]\frac{4}{3}[/tex] - [tex]\frac{1}{3}[/tex] x
→ Compare it with the form of the equation above
∴ m = [tex]-\frac{1}{3}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]-\frac{1}{3}[/tex]
→ Put it in the form of the equation
∴ y = [tex]-\frac{1}{3}[/tex] x + b
→ To find b substitute x and y in the equation by the coordinates
of a point on the line
∵ The line passes through the point (2, 5)
∴ x = 2 and y = 5
→ Substitute them in the equation
∴ 5 = [tex]-\frac{1}{3}[/tex] (2) + b
∴ 5 = [tex]-\frac{2}{3}[/tex] + b
→ Add [tex]\frac{2}{3}[/tex] to both sides
∴ [tex]\frac{17}{3}[/tex] = b
→ Substitute it in the form of the equation above
∴ y = [tex]-\frac{1}{3}[/tex] x + [tex]\frac{17}{3}[/tex]
→ Multiply each term by 3
∴ 3y = - x + 17
→ Add x to both sides
∴ x + 3y = 17
∴ The equation of the parallel line is x + 3y = 17
Answer:
[tex]\displaystyle y-5=-\frac{1}{3}(x-2)[/tex]
Step-by-step explanation:
Equation of a Line
Two lines are parallel if they have the same slope. We are given the equation of the line:
x+3y=4
To find the slope of this line, we must solve for y:
[tex]\displaystyle y=-\frac{1}{3}x+\frac{4}{3}[/tex]
The slope of this line is:
[tex]\displaystyle -\frac{1}{3}[/tex]
The equation of the new line has the same slope. To find its equation, we use the point-slope form of the line:
y-k=m(x-h)
Where (h,k)=(2,5). Thus:
[tex]\boxed{\displaystyle y-5=-\frac{1}{3}(x-2)}[/tex]
At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?
Answer:
r = 18
Step-by-step explanation:
6 + 1.30r = 29.40 [write out the equation]
-6 -6 [subtraction property of equality]
1.30r = 23.40
___ ____ [division property of equality]
1.30 1.30
r = 18
I hope it helps :)
Answer:
6 + 1.30r = 29.40
Step-by-step explanation:
Please help me, giving brainliest.
I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.
The equation of each graph from left to right in slope intercept form is
y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.
Solve the equation by factoring 2x^2+x-6=0
Answer:
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
2
+
−
6
=
0
2
x
2
+
x
−
6
=
0
2x2+x−6=0
=
2
a
=
2
a=2
=
1
b
=
1
b=1
=
−
6
c
=
−
6
c=−6
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
√
2
⋅
2
x
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
2
⋅
2
x=2⋅2−1±12−4⋅2(−6)
Answer:
x = - 2, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
2x² + x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 6 = - 12 and sum = + 1
The factors are + 4 and - 3
Use these factors to split the x- term
2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )
2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x - 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Use the distributive property to simplify the expression, then combine like terms -12 - 5p +2(6p+p)
Answer:
-12 + 9p
Step-by-step explanation:
Original Equation:
-12 - 5p + 2(6p + p)
Distributive property.
2 x 6p = 12p
2 x p = 2p
Equation:
-12 - 5p + 12p + 2p
Subtract 5p from 12p
-12 + 7p + 2p
Add.
-12 + 9p
Hope this helped :)
Please consider Brainliest :)
Write 0.000 027 in standard form?
answer: 0.000027= 2.7× 10 to the power of -5
Match the following items.
Given:
bisectsRTS
R ≅S
Prove:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ
a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive
Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
Answer: Answer:
1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given
2. ∠1 ≅ ∠2 e. Definition of angle bisector
3. Segment TQ ⊥ Segment RS a. Definition of perpendicular
4. Triangle RTQ congruent to Triangle STQ c. AAS
5. ∠3 ≅ ∠4 d. CPCTE
6. TQ ≅ TQ f. Reflexive
Step-by-step explanation:
Good luck on the rest of your assignment!
The city of Atlanta plans to hold a parade after the Atlanta Falcons win the Super Bowl. They intend to allow fans to watch from the sidewalk on BOTH sides of Peachtree Street. The parade will be 2.5 miles long and the sidewalks are 8 feet deep. If the average person takes up 2.2 square feet of space, what is the estimate for the number of people who can attend the parade?Immersive Reader
(1 Point)
48,000 people
96,000 people
44,000 people
88,000 people
None of above
Answer:
96,000 people
Step-by-step explanation:
convert the length from miles to feet.
2.5 miles = 13,200 feet
Area = 13,200× 8
Area = 105,600 square feet
but the fans will be on both sides of the sidewalk,hence,
the area will be twice.
105,600 square feet ×2= 211,200 square feet.
1 fan = 2.2 square feet
x = 211,200 square feet
therefore number of fans will be = 96,000 people.
Help me please find x to this answer I'm very desperate.
Answer:
I'm not 100% sure if I did it right but I got x=1
Step-by-step explanation:
They are equal to each other cause it is an isosceles triangle
10x-3=5x+2
add the 3 to both sides
10x=5x+5
subtract the 5x from both sides
5x=5
divide the 5 from both sides
x=1
Simplify the Expression
(9-x) + 4x - 7
ILL GIVE BRAINLIST IF RIGHT ASAP
Answer:
Because the side lengths of the triangles are proportional.
Step-by-step explanation:
I took geometry.
Pleaseee help me with my math show work please I need the work
I'm sorry the photo is on a side. I'm too lazy to text it on here lol
Which expression is NOT equivalent to a^3b^3
((a^2)b)((b^2)a)
(a^4)b^4−ab
((a^2b^2))/2ab
(ab)(ba)(ab)
Answer:
A. ((a^2)b)((b^2)a)
Step-by-step explanation:
A. ((a^2)b) ((b^2)a)
Open parenthesis
(a^2b)(b^2a)
a^3b^3
B. (a^4)b^4−ab
a^4b^4 - ab
C. ((a^2b^2))/2ab
(a^2b^2) / 2ab
D. (ab)(ba) (ab)
(a^2b^2)(ba)
Therefore,
a^3b^3 = ((a^2)b) ((b^2)a)
Which statement is true about the graph of
the function y = 3|x – 2| + 4?
A Its vertex is at (-6,0)
B Its vertex is at (-2, 4)
C Its vertex is at (2, 4)
D Its vertex is at (4,2)
Which relation is also a function?
Answer:
D.
Step-by-step explanation:
The easiest way to tell is a relation is a function is to look at every x. A function cannot have two x's that are the same.
A. There are two x's with the value of 10.
B. There are two x's with the value of 20.
C. If you wrote this in ordered pairs, there would be two x's with the value 2.
D. Every x is different, so the answer is D.
Hope this helps! Have a great day c:
An employee earns a 12% commission rate on the cameras he sells. If he earns $384 in commission, what were his total sales?
Answer:
$3,200
Step-by-step explanation:
384/12= 32
32*100= 3200
Answer:
He earns $46.08 because that would be 12% of $384:)
The product of a number and 12 is less than 5
Answer:
12n-5
Step-by-step explanation:
which of these is NOT part of a formal proof?
a. diagram
b. given
c. reasons
d. none of these
e. statements
Answer:
B
Step-by-step explanation:
Ok im tired of asking this
Ok i need both questions
Answer:
Answer 1:
5/8 = 2.5/4 so its 2.5 months
Answer 2: The decimal repeats as when you divide by 2 you get 4.5/8, which is 0.5625.
Step-by-step explanation:
1/4=2/8, so continue that on until you get the answer.
5/8÷1/4
5.8·4/1=
20/8=2.5
9/16=
9÷16=
0.5625
Which of the following statements is not true about the relationship
Answer:
C
Step-by-step explanation:
60 ft/s = ? Km/h
Please show me how to solve this.
Answer: 65.88 km/h
Step-by-step explanation:
When multiplying conversion factors, make sure the only remaining units are the desired units.
If you were to roll the
dice two times what is the
probability it will NOT
land on a 4?
Answer:
.5
Step-by-step explanation:
was I right? if I was not sorry
A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wrpm. A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 19 second grade students was 90.7 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.)
Answer:
We would conclude that the new program doesn't seem to be more effective than the old program.
Step-by-step explanation:
We are given;
Population mean; μ = 91
Population standard deviation; σ = 10
Sample mean; x¯ = 90.7
Sample size; n = 19
Formula for z-score
z = (x¯ - μ)/(σ/√n)
z = (90.7 - 91)/(10/√19)
z = -0.131
From online p-value from z-score calculator attached, using z = -0.131; significance level = 0.05; one tailed, we have;
P-value = 0.4479
This is more than the significance level of 0.05. Thus, we would conclude that the new program doesn't seem to be more effective than the old program.
How many 0.75 pound
packages can you make
with 9 pounds of popcorn
Answer:
12
Step-by-step explanation:
I just did 9 ÷ .75 = 12
The ratio of money in Terry's bank account to Faye's bank account was 3:5. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did they initially have altogether?
Answer:
Let the common ratio be x then
The amount of money in Terry' S Bank account will be 3x and that in Faye's Band Account will be 5x. So
According to question:
3x+£220=5x-£300
£220+£300=5x-3x
£520=2x
x=£210
Balance of Terry:3x
3×£210
£630
Balance of Faye=5x
5×£210
£1050
Money Altogether=£1050+£630
= £1680
Money Altogether in their account is £1680
Step-by-step explanation:
^
A cake recipe for 5 people requires two eggs. How many eggs do you need for a 15 person cake
Answer:
6 eggs
Step-by-step explanation:
15=5*3
so times the eggs by 3
2*3=6
determine the rate of change (slope) and starting point (y-intercept)
Answer: slope = 1, y intercept = 3
Step-by-step explanation:
The line crosses the y axis at 3 and when you calculate rise over run, you get 1, so the slope is 1.
