According to the synthetic division below, which of the following statements are true?
Answers
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,
[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]
Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
Related Questions
Solve the equation for y.
3x + jy= 7
Answers
Answer:
[tex]y=\frac{7-3x}{j}[/tex]
Step-by-step explanation:
First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .
What is the slope of the line that passes through the points (5,-11) and (-9,17)?
Answers
Answer:
-2
Step-by-step explanation:
m=y2-y1
x2-x1
Answer:
-2=slope
Step-by-step explanation:
17--11=28
-9-5= -14
28/-14= -2
Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest
Answers
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
Step-by-step explanation:
use this on your problem
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.09 per mile driven. The second plan has an initial fee of $42 and costs an additional $0.13 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two plans cost the same?
Answers
Answer:
The amount driven would be 275, and the cost for both plans will be 77.75$
Step-by-step explanation:
make both equations
y=0.09x+53
y=0.13x+42
set them equal to each other and solve for x to get the distance
take that number and put it in one equation and solve for y to get the price of the plan for that value
3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3
Answers
Answer:
The correct answer is A or option 1
sandy is having a thanksgiving feast for her family of 24. she is deciding between these two options. Help please which one is better and why . Due in three hours!!!
Answers
Answer:
option b
Step-by-step explanation:
Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)
Answers
Step-by-step explanation:
point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .
Step-by-step explanation:
Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,
We have to find out of given point which point will also be on the graph of f(x).
Consider the given function f(x)=x(x-4)f(x)=x(x−4)
f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x
2
−4x
Now we substitute the given point (2+ c, y) in the function given ,
we have,
f(x)=y=x(x-4)f(x)=y=x(x−4)
put for x as 2+c , we have,
\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)
Solve, we get
\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)
Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)
Thus, option (1) is correct.
im really bad at math, can anyone help?
Answers
Answer:
yeah sure
Step-by-step explanation:
giving brainliest h e l p
Answers
Answer:
She can buy 1 bullitin board.
Step-by-step explanation:
1347 divided by 75 is 17.96
I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.
If roots of a quadratic equation are real and equal, then which of the
following options is true?
Answers
Answer: where are the options??
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answers
We Know that in geometry the Cos/Sin = Cotangent. And the abbreviation for this is cotø
In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?
Answers
Answer:108 degrees
Step-by-step explanation:
Answer:
Scalene triangle
Step-by-step explanation:
24+48= 72
180-72=108
All three angles are different meaning that the triangle must be a scalene triangle.
what does 28-8 represent?
Answers
Step-by-step explanation:
subtraction if that wut u askim
Someone help me please!!
Answers
Answer:
( h − 4 ) ( h + 12 )
Step-by-step explanation:
I'm not even sure if this helps but it factored
I NEEDA KNOW IF IM RIGHT , IDK HELP
Answers
Answer:
CD and DE are perpendicular because their slopes are -1/3 and 3
Step-by-step explanation:
Perpendicular lines will always have the opposite reciprocal.
Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️
Answers
Answer:
good handwritting the first is 87
Step-by-step explanation:
! NEED HELP ASAP !
what is the domain of the function below?
(1,3) (2,5) (3,7) (4,9)
***SEE PICTURE***
Answers
Answer:
Step-by-step explanation:
1,2,3,4
Answer:
i put this into my calculator and it said the domain was:
{1, 2, 3, 4}
i doubt you need this, but it gave it to me as well, so..just incase you need it, the range is:
{3, 5, 7, 9}
hope this helps! :)
Help will give brainliest!!
Answers
Answer:
∠ TUW = 127°
Step-by-step explanation:
∠ QRU and ∠ TUW are corresponding angles and are congruent , thus
∠ TUW = ∠ QRU = 127°
What is the equation of a line with a slope of 2 and a y-intercept of -5?
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
y = mx + b
m = slope = 2
b = y-intercept = -2
(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118
Answers
Answer:
28.47
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
Given
[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression
= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]
= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]
= [tex]\frac{20}{\frac{17}{8} }[/tex]
= [tex]\frac{20}{2.125}[/tex]
≈ 9.4118 ( to 4 dec. places ) → F
2,11,20 find the t15
Answers
Answer:
128
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 2 = 20 - 11 = 9
This indicates the sequence is arithmetic with n th term
[tex]t_{n}[/tex] = t₁ + (n - 1)d
where t₁ is the first term and d the common difference
Here t₁ = 2 and d = 9 , thus
t₁₅ = 2 + (14 × 9) = 2 + 126 = 128
Which angles are vertical angles?
Answers
I think NOQ POL.................................
HURRY PLZ 20 POINTS AND BRAINLIEST TO FIRST CORRECT ANSWER For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs $7.17 before tax. If the sales tax is 5 percent, explain how to find the total cost for their dinner.
Answers
Answer: First, add 3.99 + 7.17. Then take the sum of those two numbers and multiply it by .05 to get 0.55. Since we are dealing money, round to the nearest hundredth to get .56. Add the sum of 3.99 and 7.17 (11.16) and .55 to get a total of 11.71. Therefore the total cost of their dinner, including tax, was $11.71.
Step-by-step explanation:
Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.
Answers
Answer:
No because it does no pass the vertical line test
Step-by-step explanation:
The sum of three numbers is 123. The third number is 3 times the second. The second number is 8 less than the first. What
are the numbers?
Answers
Do I show my work?
Explanation
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answers
Answer:
D.) algebra rules
Step-by-step explanation:
Had it on the quiz
What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139
Answers
F. Square root of 39
Step-by-step explanation:
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Define similar triangles.Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.
[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]
[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]
[tex]\frac{x}{13}=\frac{3}{x}[/tex]
[tex]x^2=39[/tex]
[tex]x=\sqrt{39}[/tex] units.
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.
Option F. is correct.
Find out more information about triangle here:
https://brainly.com/question/2773823?referrer=searchResults
I can’t remember how to do this if I try a bit longer I can probably figure it out but not sure exactly. Please If anyone can help so I can come back and check it later
Answers
Answer:
£2.38
Step-by-step explanation:
2.5 cost £1.40
4.25 cost £ x
so x=(4.25*1.40)/2.5=5.95/2.5=£2.38
Line A has a slope of -4/3 and line B has a slope of -3/4. Are both lines perpendicular?
Answers
Answer:
no they are not
Step-by-step explanation:
Answer:
Yes, they are perpendicular to each other.
Step-by-step explanation:
If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.
Feel free to give brainliest.
Have an excellent day!
The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.
Please help, I will mark first correct answer brainliest.
Answers
Answer:
The longest side length b is approximately 13.172 cm
Step-by-step explanation:
The given parameters are;
The area of the triangle = 22.4 cm²
The given angles of the triangle = ∠97°
The given side of the triangle = 3.7 cm
The formula for the area of a triangle, A = 1/2 × a × b × sin(C)
Where;
a, and b are the side legs forming the angle C
Therefore, we have;
A = 22.4 = 1/2 × 3.7 × a × sin(97°)
a = 22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199
a ≈ 12.199 cm
Therefore, by cosine rule, we have;
b² = a² + c² - 2 × a × c × Cos(B)
Substituting the values, gives;
b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)
b² ≈ 173.507
∴ b ≈ √173.507 ≈ 13.172
b ≈ 13.172 cm