Answer:
Step-by-step explanation:
4x2 - 8x -12 = 0
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
Answer:
B IS THE ANSWER
Step-by-step explanat
(22x2 - 8x) - 12 = 0
4x2 - 8x - 12 = 4 • (x2 - 2x - 3)
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
x2 - 3x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-3)
Which is the desired factorization
4 • (x + 1) • (x - 3) = 0
A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
Any solution of term = 0 solves product = 0 as well.
Solve : x+1 = 0
Subtract 1 from both sides of the equation :
x = -1
Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
Does the following system of equations
have one, none, or infinite solutions?
-4x + y = 6
-5x – y = 21
Answer:
Iv'e checked both of them and they have NO solutions so nyour answer is (None)
Step-by-step explanation:
solve pls brainliest
Answer:
162
Step-by-step explanation:
don't you have calculator app on your phone??
Answer:
bru its it 32 a
Step-by-step explanation:
Given that the points (12, –4) and (–36, 8) lie on a line, what is the equation of the line?
The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
The formula for calculating the equation of a line is expressed as:
y = mx + b
m is the slope of the line
b is the y-intercept
Given the coordinate points expressed as (12, –4) and (–36, 8)
Get the slope:
m = 8+4/-36-12
m = 12/-48
m = -1/4
Get the y-intercept "b"
Recall that y = mx + b
8 = -1/4(-36) + b
8 = 9 + b
b = 8 - 9
b = -1
Get the required equation.
Recall that y = mx + b
y = -1/2 x + (-1)
y = -1/2 x - 1
Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1
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What can you multiply 2 to 10 by to get the ratio of 4 to 20
Answer:
multiply both by 2
Step-by-step explanation:
2 x 2 = 4
10 x 2 = 20
Can anyone help me with the problem in the picture?
Choose the solution for the equation 3(p+8) = 2(2p-1)
a) p=24
b) p=26
c) p=-26
d) p=-24
Answer:
b) p=26
Step-by-step explanation:
3p + 3 · 8 = 2 ·2p - 2
3p + 24 = 4p - 2
p = 26
8. Solve the system. (1 point)
x+y=5
-2x+4y=8
Step-by-step explanation:
multiply the first equation by 2 and then add both equations.
2x + 2y = 10
-2x + 4y = 8
---------------------
0 + 6y = 18
y = 3
x + y = 5
x + 3 = 5
x = 2
Change 185% to a mixed number and reduce, if possible.
Answer:
1 17/20
Step-by-step explanation:
Put 185 over 100. Then, Simplify. Divide 180 and 100 by 5. 180 ÷ 5 = 37 and 100 ÷ 5 = 20. Then, divide 37 by 20. Write down the the quotient as the whole number and the remainder as the numerator.
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
The product of the Roots of the quadratic equation 2x² + 5x - 7 = 0 is
Product of roots
[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]
[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]
answer I'll give brainliest to the first one
SERIOUS ANSWERS ONLY
10 points
Answer:
1: 24 girls
2: 640
3: 300
4: 3/10
5: 42
Step-by-step explanation:
1: 2/5 × 40
80÷ 5
16
girls = 40- 16
= 24
2: 1/3 × 960
960 ÷3
= 320
Left = 960 - 320
= 640
3: 3/8 × 480
1440 ÷ 8
= 180.
Left = 480 - 180
= 300
4: 2/5 × 3/4
= 6/20
= 3/10
5: 2/5 × x = 18
2x = 28 × 5
2x = 140
x = 70
70 - 28
= 42
Step-by-step explanation:
1. 24 girls
2.600
3.300
yan lang alam ko insan
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $3 each. Write an algebraic
expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold
240 adult tickets and 378 children's tickets?
Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.
Also if those number of tickets were sold, the amount realized would be $3,054.
The total amount raised can be found as:
= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)
Assuming the adult tickets are x and the children's tickets are y, the equation would be:
= (x × 8) + (y × 3)
= 8x + 3y
If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:
= 8x + 3y
= (8 x 240) + (3 x 378)
= $3,054
In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.
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solve pls brainliest
Compute the difference quotient
Answer:
Step-by-step explanation:
f(x) = -x^2+6x-2
-x^2+6x-2 here we use work sheets or log books
Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answer: x=68 °
Step-by-step explanation:
The sum of the angles h in the n-gon is calculated by the formula :
[tex]\displaystyle \rm S=180(n-2)[/tex]
where n is the number of sides
Then the sum of all the corners of the pentagon is equal to
[tex]\rm S=180(5-2)=540 \\\\[/tex]
[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]
Its a Pentagon
[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]
[tex]\\ \sf\longmapsto 5x+200=540[/tex]
[tex]\\ \sf\longmapsto 5x=540-200[/tex]
[tex]\\ \sf\longmapsto 5x=340[/tex]
[tex]\\ \sf\longmapsto x=340/5[/tex]
[tex]\\ \sf\longmapsto x=68[/tex]
A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
What is the total cost for the jerseys?
Answer:
9 x 23.79 = $214.11
Cual es el ángulo que equivale a 4 ángulos rectos?
ayus lng ako hahaha hshshs
please help this is super urgent!!!
Choose the correct description of the graph of the compound inequality: (5 points) 3x + 1 > 7 and 4x less than or equal to 24
Answer:
A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
Given:
3x+1 > 7 → inequality A
4x ≤ 24 → inequality B
Step 1
Solve inequality A
3x+1>7
3x>7-1
x>2
the solution is the interval------> (2,∞)
Step 2
Solve inequality B
4 x ≤ 24
4 ≤ 6
the solution is the interval------> (-∞,6]
Step 3
Find the solution of the compound inequality
Solution A ∩ Solution B
(2,∞) ∩ (-∞,6]=(2,6]
therefore
The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between
Answer:
Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.
Step-by-step explanation:
i.e. it could also be written as:
3x + 1 > 7
3x > 7 - 1
3x > 6
x > 2
And the second inequality is:
4x < 24
4x < 6
Hence, the compound inequality could be represented as:
x>2 i.e. (2,∞)
and x≤6 i.e. (-∞,6]
Hence, the feasible region or the region that is common to both the inequalities is:
(2,6]
Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between
Multiply or divide.
[tex] \frac{8}{12} = \frac{?}{?} = \frac{?}{?} [/tex]
Answer
8/12=4/6=2/3
When simplifying, if both the numerator and the denominator are even you can just divide them by two
What is answer to 2 + 3m =
You can't really do anything with it cause it's fully simplified
Answer:
Nothing you can do because it is already simplified. So yea
Step-by-step explanation:
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 mingiven the right triangle ABC with the altitude BD drawn to hypotenuse………. please help asap i’ve failed this so many times
Answer:
plz mark me as a brainliest
The sum of two numbers is −12.6 , identify two negative addends that make the statement true.
Answer:
–7.4 and –5.2
Solution:
–7.4 + –5.2 = –12.6
Message:
I hope this helps
EASY WILL GIVE BRAINLIEST
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answer:
I think the answer is 98?
Step-by-step explanation:
I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Time taken if all the three work together is 15min
What is Time?
Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The first worker can sort the stack in 25 minutes. So every minute that goes by,
he does 1/25 of the job.
The second employee completes 1/45 of the stack per minute,
While the third employee completes 1/225 of the task.
Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.
x·1/25 + x·1/45 + x·1/225 = 1
To eliminate all fractions from the calculation, multiply each term by 225.
225x/25 + 225x/45 + 225x/225 = 225
9x + 5x + 1x = 225
15x = 225
x = 225 / 15
x = 15
Hence, It will take 15min to sort the mail if all three work together
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the table shows the number of weeks of vacation employees receive each year based in the number of years they have been employed what does v(15)=5 mean in terms of the problem
Answer:
A worker with 15 years of service gets 5 weeks of vacation each year.
Step-by-step explanation:
4th option
Pls help due in 10 minutes
Answer:
here is your answer hope it helps you
Simplify 12 to the power of 3 over 12 to the power of 7
A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4
Answer:
The correct answer I think is D
Step-by-step explanation:
The explanation of the other person is right, but you do 3-7, which gives u -4
Estimate and then solve 3397÷59
Quadrilateral EFGH is the image of ABCD after a transformation or sequence of transformations.
Which could be the transformation or sequence of transformations?
Select all that apply.
Answer: A
B
D
Step-by-step explanation:just trust me bro its the answer
The transformation is the rotation of 180° about the origin. Therefore, option B is the correct answer.
Given that, quadrilateral EFGH is the image of ABCD after a transformation or sequence of transformations.
We need to find which could be the transformation or sequence of transformations.
What are the transformations?A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be any or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.
Rotation 180°: The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).
From quadrilateral EFGH to the image of ABCD the transformation is the rotation of 180°.
Therefore, option B is the correct answer.
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I need to learn about percent, proportion, and mixture word problems
Answer:
Percent:
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Mixture:
Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.
Proportion:
Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.
Step-by-step explanation:
Hope This Helps!