The correct factorization of 12x'2 - 157x - 40: A) (3x -8)(4x - 5) B) (3x - 40)(4x + 1) C) (12x - 1)(x + 40) D) (12x - 5)(x-8)
Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
2 tons of bark cost $9,680.00. what is the price per pound?
1. The current in a clothes washer is 15A when plugged into a 120V outlet. What is
the POWER of the washer? *
Answer:
Step-by-step explanation:
Power = Force × Velocity.
15*120=1800
To solve the problem we must know about resistance and power.
What is resistance?
Resistance is defined as the measurement that provides opposition to the current that travels through it.
It is given by the formula,
[tex]\rm Resistance = \dfrac{Voltage}{Current}[/tex]
The power of the washer is 1,800 watts.
Given to us
Current, I = 15 A
Voltage, V = 120V
Resistance Provided by the WasherUsing the formula of resistance to find the resistance,
[tex]\rm Resistance = \dfrac{Voltage}{Current}[/tex]
[tex]\rm Resistance = \dfrac{120\ V}{15\ A} = 8\ \Omega[/tex]
Thus, the resistance for the circuit will be 8 ohms.
Power of the washer[tex]\rm Power = (Current)^2 \times Resistance[/tex]
[tex]P = I^2 R\\\\P = (15)^2\times 8\\\\P = 1,800\ \rm watt[/tex]
Hence, the power of the washer is 1,800 watts.
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5.4 cm
12.8 cm
x cm
Work out the value of x.
Give your answer correct to 3 significant figure
Answer:
890w
bro if i know i will tell u but the problem that d
What is 9bc−6b
written in factored form?
Answer:
3b(3c - 2) hope this helped!
Step-by-step explanation:
Answer:
3b(3c - 2)
Step-by-step explanation:
we do the factor thing, and cause they're both divisible by 3, there's your answer
Please help! EXPLAIN! 15 points! Help! PLEASE! I give brainliest! Brainliest, stars, and hearts. EXPLAIN your thinking!
Answer:
+83
Step-by-step explanation:
The reason why it would be +83 is that it says that you walk UP 83 stairs.
And so from the word UP we know that the integer would be positive. And the number 83 represents how any stairs you walked up. So, it would be +83.
Hope this helped!!! :)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!
In the figure below, segment PO Il segment MN and segment PM II segment ON.
Which would be a correct way to begin a proof that shows angle O is congruent to angle M?
A. Draw diagonal OM and show that a pair of adjacent interior angles formed by the transversal are congruent.
B. Draw diagonal PN and show that a pair of corresponding angles formed by the transversal are congruent.
C. Draw diagonal PN and show that a pair of alternate interior angles formed by the transversal are congruent.
D. Draw diagonal OM and show that a pair of alternate interior angles formed by the transversal are complementary,
Answer: A
Step-by-step explanation:
Peter rolls 2 fair dice and adds the results from each. Work out the probability of getting a total less than 11.
Answer:
[tex]\frac{25}{36}[/tex]
Step-by-step explanation:
Since each dice has a total of 6 numbers, Peter can get a maximum roll of 5 on each dice before the total is 11 or more. Therefore, the probability of rolling a number less than or equal to 5 each roll is 5/6. Now to find the probability of rolling a 5 or less in both rolls together so that the total is less than 11 we need to multiply the probability of each separate roll together.
[tex]\frac{5}{6} * \frac{5}{6} = \frac{25}{36}[/tex]
Therefore the probability of the total being less than 11 is [tex]\frac{25}{36}[/tex]
Find the slope of each line
Answer:
the slope is 0
Step-by-step explanation:
Since this is a straight line, the slope is 0
what is this question 2x+30=6x-12
Answer:
x=10.5
Step-by-step explanation:
2x+30=6x-12
30=4x-12
42=4x
x=10.5
-104= 8x please help 4 people are stuck on this
Answer:
8x = -104
divide 8
x = 13
What was Miss D's speed if she traveled 6 km in 3 hours? YOU MUST SHOW WORK IN YOUR ANSWER: example below to get full credit 1. Formula : 2. Substitution: 3. Answer with units:
Answer:
2km/hr
Step-by-step explanation:
The formula for calculating speed is expressed as;
Speed = Distance/Time
Given the following;
Distance = 6km
Time = 3hours
Speed = 6km/3hr
Speed = 2km/hr
Hence the speed travelled is 2km/hr
12.6+4m=9.6+8m what does m=
Answer:
Step-by-step explanation:
12 frdb
Write the following Arithmetic Sequence using a Recursive Formula: an = -7 + 3(n – 1)
a1 = 3, an = an-1 – 7
a1 = -7, an = an-1 + 3
a1 = -7, an = an+1 + 3
a1 = 3, an = an+1 – 7
9514 1404 393
Answer:
(b) a[1] = -7, a[n] = a[n-1] + 3
Step-by-step explanation:
Comparing the given formula to the general form for the n-th term of an arithmetic sequence ...
an = a1 +d(n -1)
we see that the first term (a1) is -7, and the common difference (d) is +3.
The recursive version of the sequence definition is ...
a[1] = a1
a[n] = a[n-1] +d
So, the appropriate choice is ...
a[1] = -7, a[n] = a[n-1] +3
will give all my points and brainlist please help help
what is the Explanation of this
This statement is explaining that lack of water conservation practices and pollution of water sources can harm the environment and risk water becoming scarce. Therefore, we must be more careful with handling water sources because they could get out of hand.
Answer:
Copied from Gillruss: "This statement is explaining that lack of water conservation practices and pollution of water sources can harm the environment and risk water becoming scarce. Therefore, we must be more careful with handling water sources because they could get out of hand."
Step-by-step explanation:
sorry, couldn't resist the urge to take the points-
For a certain orchard to grow the temperature around it must be cooked within 12° or 78°F right the range of a suitable temperature
Answer:
lower =66
higher=90
Step-by-step explanation:
Which is NOT the inequality of 3x + 13 ≥ -8?
A)-8
B)-7
C)-6
D)-5
Answer:
A
Step-by-step explanation:
Is this a right triangle?
Answer:
yes!
Step-by-step explanation:
if it has a 90° angle it is a right triangle :)
Answer:It is a right triangle
Step-by-step explanation:
It has a 90° angle
Graph a line with a slope of -3 that contains the point (4, -2).
How many vehicles does the salesperson need to sell in a month to earn at least $6000? Explain how you found your answer.
Answer: 15 vehicles
Step-by-step explanation:
The first part of the question reads:
A salesperson at a car dealership earns a monthly salary of $2,400 and $250 for each vehicle sold.
The Sales person wants to get to $6,000 for the month.
Their salary already gives them $2,400 so the amount they have to make in commission is:
= 6,000 - 2,400
= $3,600
They earn $250 per car sold so the number of cars they need to sell is:
= 3,600 / 250
= 14.4
Round this up to 15 cars because rounding down to 14 would not be enough to reach the total of $6,000.
15 cars * $250 commission = $3,750 which is more than the $3,600 required so the condition has been satisfied.
To earn at least $6,000, they will have to sell 15 cars.
Help whats 3x-4≥17 i don’t know the answer
Answer:
x ≥ 7
Step-by-step explanation:
3x-4≥17
3x ≥ 17 + 4
3x ≥ 21
x ≥ 21/3
x ≥ 7
Hope this helps :D
Hey your answer will be x = 7
Step-by-step explanation:
Two-sixth of the mangoes ina basket are good. If the total number of magoes in the basket is 42 how many mangoes are bad
Answer:
28 bad mangoes
Step-by-step explanation:
Two-sixth of the mangoes ina basket are good. If the total number of magoes in the basket is 42 how many mangoes are bad
Step 1
We find the amount of mangoes that are good
Two-sixth of the mangoes in a basket are good = 2/6
Total number of mangoes = 42
Hence:
2/6 × 42 mangoes
= 14 good mangoes
Step 2
Find the number of bad mangoes
This is calculated as:
Total number of mangoes - Good Mangoes
= 42 mangoes - 14 good mangoes
= 28 bad mangoes
Therefore, the number of bad mangoes = 28
I just need the answers please and thank you.
Answer:
1.) .423
2.).602
3.) .675
4.) .375
5.) .259
6.)8.144
7.).839
8.).017
9.) .966
10.).454
11.).978
12.) 57.28996
13.).5299
14.).809
15.).9004
16.).819
17.).788
18.) 1.235
Basically just change your calculator to degree by pressing the mode button then scroll to degree and pressing it. Then type the questions in with the cos tan and. Sin buttons and that’s the answer.
Please help with this!
Answer:
7.5/5 = 1.5
6/1.5 = 4
X = 4
I'm pretty sure it's right
A remote-controlled plane is flying 16.5 meters above the ground. The plane dives 8 meters
before rising 5.5 meters.
Part A
Which model BEST represents this scenario?
16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
18 17
18
19
20 21 22 23 24 25 26
4
5
7
RO
Answer:
B
Step-by-step explanation:
Please help me!!!!
Liam and Evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint.
Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint.
Answer:
answer is id.k
Step-by-step explanation:
The correct equation to represent the condition is,
⇒ 2 + 3 1/4x = 1/2 + 5 1/2x
And, The volume of the paint is, 2/3 quartz.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Liam and Evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint.
And, Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint.
Let the volume of the paint is, x
Hence, We can formulate;
The correct equation to represent the condition is,
⇒ 2 + 3 1/4x = 1/2 + 5 1/2x
And, Solve for x as;
⇒ 2 + 13/4x = 1/2 + 11/2x
⇒ 2 - 1/2 = 11/2x - 13/4x
⇒ 3/2 = (44 - 26)x / 8
⇒ 12 = 18x
⇒ x = 12/18
⇒ x = 2/3
Hence, The volume of the paint is, 2/3 quartz.
Learn more about the mathematical expression visit:
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if peeta scored 1060 points. how many points did vev score if her score was 30% fewer
Answer:
742 points
Step-by-step explanation:
30 percent of 1060 is 318, 1060-318 is 742
what is the solution to this linear system?
Answer:
(- 1, 7 )
Step-by-step explanation:
Given a system of linear equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (- 1, 7 ) which is then the solution to the system
What is the slope of the line?
Answer:
The slope is 1/2
Step-by-step explanation:
I did rise over run
Solve the equation.
2= n/3 n=
Answer: n = 6
Step-by-step explanation:
First you have to isolate the n by multiplying each side by 3. Than you get n=6
Answer:
6
Step-by-step explanation:
Multiply both sides by 3:
2 times 3 = 6
n/3 times 3 = n
n = 6
