Select the correct answer.
Which expression in factored form is equivalent to this expression?
4(x2 – 2x) – 2(x2 – 3)
A. (2x − 3)(x + 1)
B. 2(x + 1)(x + 3)
C. (2x + 3)(x + 1)
D. 2(x - 1)(x – 3)
Took the test. This is the answer.
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
Using the Factor Theorem, the factored form equivalent to this expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem, the expression is:
[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]
[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]
[tex]2x^2 - 8x + 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].
Hence:
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]
Hence, the expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
You can learn more about the Factor Theorem at https://brainly.com/question/24380382
What is the value of {8 +3 (14 – 6) – 18) ?
Answer:
Step-by-step explanation:
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
On Sunday, Sheldon bought 412 kg of plant food. He used 123kg on his strawberry plants and used 14 kg for his tomato plants.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
275
Step-by-step explanation:
412kg - 123kg - 14kg = 275kg left
Because he used 275 kg out of 412kg
what is 3x × -4x in algebra
Answer:
-12
Step-by-step explanation:
3x×-4x
3×-4xto the power 1-1
-12×1
12
plz make me brainliest
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
At which value in the domain does f(x) = 0?
Answer: C (x=1)
Step-by-step explanation:
f(x)=0 at points of intersection of the graph of the function with x-axis.
The graph of the function intersects x-axis at three points:
somewhere between -3 and -2;
somewhere between -1 and 0;
at x=1.
Since x=1 is the value of x from the domain, then correct choice is option C.
You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily
Answer:
$8800 might be wrong on that not sure
PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?
Answer:
time
Step-by-step explanation:
Answer:
Technically it is 600 mph but I think you meant 480 miles not 4800 miles but if it is 480 miles then 60 mph
Step-by-step explanation:
I think you made a typo.
can anyone help me please ?
Answer: 84 dollars
Step-by-step explanation:
can someone give me 500 pts and 5 brainliest
Answer:
No -_-
Step-by-step explanation:
wot why??- 0,0
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Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint
Answer:
You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?
Answer:
240 people are going on the trip
Step-by-step explanation:
216 students and 24 parents
Joe has $20 to spend on two model cars and supplies to paint them. The paint supplies cost $4.00 Which expression shows how much he can spend on each model?
A. x ≤ $8
B. x ≥ $8
C. x ≤ $16
D. x ≥ $16
Answer:
So he has 20$ to spend. He spends 4$ to paint them. That means that after getting the supplies he would have 16$ left to spend on the cars.
Answer:
A. x ≤ $8Step-by-step explanation:
John has $20He spends $4 on paint suppliesHe can spend x dollars on each model and 2x on both:
2x ≤ 20 - 42x ≤ 16x ≤ 8Correct choice is A.
Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
I need help please?!!!!
Suppose Anthony Ianni attempted 18 baskets in a basketball game. If the ratio of baskets made to baskets missed is 1:5, how many baskets did Ianni make?
Answer:
Number of baskets Lanni make = 3 basket
Step-by-step explanation:
Given:
Total attempt = 18 times
Ratio(Basket make : Basket missed) = 1:5
Find:
Number of baskets Lanni make
Computation:
Number of baskets Lanni make = Total attempt x [Basket make ratio]
Number of baskets Lanni make = 18 x [1/(1+5)]
Number of baskets Lanni make = 3 basket
A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
Type the given number as a product of prime numbers. 135
Answer:
the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs
the sum of 17 and 3 times x
Answer:
20x?
Step-by-step explanation:
Answer:
it will = 17+3x. hope it helps
a square has an area of 1 square unit what is the length of the square
Answer:
The length is one
Step-by-step explanation:
The formula to find the area of aa square is B*H. This means to solve, you do 1*1, since the base and height are both 1, and 1*1=1
If x is any real number, then x2 ≥ 1.
Select the correct answer.
x = -2.5
x = -1.5
x = 0.5
x = 1.5
Answer:
x≤−1 or x≥1
Step-by-step explanation:
yine bookmarks
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.
63
(4x-5)
(x+17)
Answer:
Answer: 10
Step-by-step explanation:
5x+17+2x+3+90=180
7x+20+90=180
7x+110=180
7x=70
x=10
If r * s = s to the power of r, then 3 * 2 =
Answer:
[tex]3*2=8[/tex]
Step-by-step explanation:
We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:
[tex]r*s=s^{r}[/tex]
[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])
[tex]=8[/tex] (Simplify)
Hope this helps!
Can someone help me? I don’t know how to solve it. Thank you!
Answer:
C. 5x^2 - 8x + 13
Step-by-step explanation:
List three examples of words/phrases that describe the mathematical operation of addition. (Example "Increased by") *
Answer:
Increased by, added, brought up (All I know of haha)
Step-by-step explanation:
Theres really no explanation to this other than learning your mathematical terms.
