Answer:
2.04081632653
Step-by-step explanation:
If you wanted to round it, it would be 2 because the 4 isn't enough to bump it up. Hope this helped you!
Answer:
2.04
Step-by-step explanation:
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
A bag contains 4 green marbles, 3 red marbles, and 7
blue marbles. One marble is taken from the bag and put
back after checking its color. A second marble is then
taken out. What is the probability that the first is blue
and the second red?
Answer:
3/28
Step-by-step explanation:
There are 14 marbles in the bag. So, the probability of choosing a blue marble is 7/14 or 1/2. Since the first marble is replaced, the bag still has 14 marbles in it. Then the probability of choosing a red marble is 3/14. The probability of choosing the blue, then the red is 1/2 x 3/14 = 3/28
I want to put 1/2 of a banana in each sack lunch. If I have
9 bananas, how many sack lunches can I make?
Answer:
18 sack lunches.
Step-by-step explanation:
You want 1/2 bananas and you have 9.
9 / 1/2 = 9 x 2 = 18 lunches.
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.
can someone give me 500 pts and 5 brainliest
Answer:
No -_-
Step-by-step explanation:
wot why??- 0,0
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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
PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
What is the value of {8 +3 (14 – 6) – 18) ?
Answer:
Step-by-step explanation:
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
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.
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
Determine which choice best shows the distributive property of multiplication.
Question 3 options:
1 × 4 = 4 × 1
1 × 1 = 1
1 × (4 × 6) = (1 × 4) × 6
1 × (4 + 6) = (1 × 4) + (1 × 6)
sam writes on a white board the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board. The mean of all the numbers on the board is then 5.3. What is the smallest possible value of q?
Answer:7
Step-by-step explanation:
This question is on the ukmt junior maths challenge which I'm doing now, out of the options given I got 7, because 2+4+6+5+(5×20)+(7×7)= 166, (then dividing that by the number of numbers to get the mean) so 166÷31= 5.354.....
Also the 3 has a recurring symbol above it
The 7 is times seven so uh yeah<3
The smallest possible value of 'q' is 7 and this can be determined by using the hit and trial method and mean formula.
Given :
Sam writes on a whiteboard the positive integers from 1 to 6 inclusive once each. she then writes p additional fives and q sevens on the board.The mean of all the numbers on the board is then 5.3.The following steps can be used in order to determine the smallest possible value of q:
Step 1 - The formula of the mean can be used in order to determine the smallest possible value of q.
Step 2 - The mean of all the numbers is given by:
[tex]\rm \dfrac{2+4+6+5+5p+7q}{6+p+q}=5.3[/tex]
[tex]\rm \dfrac{21 + 5p + 7 q}{6+p+q} = 5.3[/tex]
Step 3 - So, by the hit and trial method, the value of q can be determined.
Therefore, the value of 'q' is 7.
For more information, refer to the link given below:
https://brainly.com/question/25277954
What is 38 percent of 10 oranges
Answer:
The answer is 3.8
Explanation:
Move the decimal over once to the left.
Answer:
3.8 oranges.
Step-by-step explanation:
Step 1: Our output value is 10.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 10=100%.
Step 4: Similarly, x=38%.
Step 5: This results in a pair of simple equations:
10=100%(1).
x=38%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
10/x= 100%/38%
Step 7: Again, the reciprocal of both sides gives
x/10 = 38/100
---> x=3.8$
Therefore, 38% of 10 is 3.8
Can someone help me? I don’t know how to solve it. Thank you!
Answer:
C. 5x^2 - 8x + 13
Step-by-step explanation:
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
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
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.
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?
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!
Select the correct symbol
Answer:
The answer is <
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
I need help please?!!!!
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:
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
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
the sum of 17 and 3 times x
Answer:
20x?
Step-by-step explanation:
Answer:
it will = 17+3x. hope it helps
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.
2. The sum of two numbers is 52. The
difference of the two numbers is 6.
What are the numbers?
Answer:
29 and 23
Step-by-step explanation:
Step 1: rewrite the sentences as equations:
equation 1: x+y=52
equation 2: x-y=6
Step 2: add those two equations together to get:
2x=58
x=29
Step 3: substitute x in one of the first equations to get y:
29-y=6
y=23
Step 4: Check with the other equation:
x+y=52
29+23=52✔
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
