Answer:
[tex]\left(3c-2\right)\left(6a-5\right)[/tex]
Step-by-step explanation:
[tex]18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)[/tex]
(3c-2)(6a-5)
Explain
18ac-12a-15c+10
(18ac-12a)+(-15c+10)
Factor out -5 from-15c+10: -5(3c-2)
Factor out 6a from 18ac-12a: 6a(3c-2)
= -5(3c-2)+6a(3c-2)
Factor out common terms 3c-2
(3c-2)(6a-5)
:) Hope you enjoy :)
How many quarts of water must be added to 7 qts of a 19% saline solution to obtain a 5% saline solution?
Answer: quantity of water added = 19.6 quarts
Step-by-step explanation:
Let x= quantity of water added
Then, Quantity of saline in 7 quarts solution = 19% of 7 = 0.19 (7)=1.33 quarts [to remove % divide number by 100]
When x quarts water is added , the quantity of solution becomes = x+7
Quantity of saline in it= 5% of (x+7)= 0.05(x+7)
Now, quantity of saline remains same, so
[tex]1.33= 0.05(x+7)\\\\\Rightarrow\ 1.33x=0.05x+0.35\\\\\Rightarrow\ 1.33-0.35=0.05x\\\\\Rightarrow\ x=\dfrac{0.98}{0.05}=19.6[/tex]
Hence, quantity of water added = 19.6 quarts
Where is the answer to the expression 3 − 7 located on a horizontal number line?
Answer:
4 units to the left of 3 7 units to the left of 3 4 units to the right of 3 7 units to the right of 3
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Add 3 units to the right
Subtract 7 units to the left
Total = 4 units to the left
Or you can say -4
I hope this helps you :)
A volleyball player sets a volleyball straight up into the air. The height of the volleyball, , is modeled by this equation, where t represents the time, in seconds, after that ball was set.
The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball?
Answer:
The maximum height of the volleyball is 12.25 feet.
Step-by-step explanation:
The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :
....(1)
The volleyball reaches its maximum height after 0.625 seconds.
For maximum height,
Put
Now put t = 0.625 in equation (1)
Hope this helps!!
A number z plus 7..
Answer:
7z
Step-by-step explanation:
Which equation best represents the line graphed above?
Please help
Answer:
y=x+4
Step-by-step explanation:
Slope is positive and it goes up by 1 so it is just 1 and the y-intercept is 4 so it is y=x+4
7x^2– 19x – 6
How do I factorize this expression?
Answer:
x = 3 and x = -2/7
Step-by-step explanation:
you can multiple -6 by 7 = -42
and then find what adds into -19 but can multiply together to get -42.
In this case (x-21)(x+2) would work
then you have to divide out your 7 from both numbers,
(x-21/7)(x+2/7)
then you have to make them equal to zero
x-21/7 = 0 = x = 21/7 = 3
x+2/7 = 0 = x = -2/7
so your final answer is x = 3 and x = -2/7
Create YOUR OWN Algebraic expression, then write the expression in words.
Answer:
Step-by-step explanation:
his salary S is raised by 300 dollars
Algebraic expression
s+120
pls try to answer my question
i have to do it as soon as possible
John drove 15 miles on 1/2 gallon gas. How many miles did John drive per gallon of gas? *
30
If half a gallon is 15 then just multiply 15 with 2.
In one version of a trail mix, there are 6 cups of peanuts mixed with 4 cups of
raisins. In another version of trail mix, there are 13.5 cups of peanuts mixed
with 9 cups of raisins.
1a. Are the ratios equivalent for the two mixes?
Yes
No
This is a required question
16. Explain how you know.
Your answer
Ratio of peanuts to raisins in the first version of a trail mix = 3:2.
Ratio of peanuts to raisins in the second version of a trail mix = 4.5:3.
Divide the ratio by 1.5.
Ratio for second mix = 3:2.
The ratios are equivalent for the two mixtures.
Hopefully this helped.
simplify.show work
30-2(3²+6)
thanks
Answer:
30−2(32+6)
=30−2(9+6)
=30−(2)(15)
=30−30
=0
PLEASE HELP IM BEING TIMED! Find PQW
Options: 33
35
38
27
Answer:
35
Step-by-step explanation:
a music app charges 2$ to download the app plus 1.29$ per song downloaded.Write and solve a linear equation to find the total cost to download 30 songs
Answer:
c = 1.29x + 2
c= cost
x= song
cost= 39.7
Step-by-step explanation:
1.29×30=38.7
38.7+2=19.7
The first few steps in deriving the quadratic formula are shown. A table listing the first few steps in deriving the quadratic formula Which best explains why is not added to the left side of the equation in the last step shown in the table? The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation. The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation. The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation. The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
How do you derive the quadratic formula?The quadratic equation is an equation of the form; y = ax^2 + bx +c. It a polynomial equation of degree 2.
Note that; the reason why the term b^2 / 4a^2 is not added to the left side of the equation is because the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
Learn more about quadratic formula:https://brainly.com/question/3800160
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Answer:
Answer is B Ed2020
Step-by-step explanation:
trust me
y = a(x - 2)(x + 4)
In the quadratic equation above, a is a nonzero
constant. The graph of the equation in the wy-plane
is a parabola with vertex (c,d). Which of the
following is equal to d ?
A) -9a
B) -8a
C) -5a
D) -24
Answer:
D
Step-by-step explanation:
It just is
What is the difference between |–3| and –3?
Answer:
The lines beside the -3 on the left invert the negative/positive.
Step-by-step explanation:
See answer
A cyclist rode at a constant speed of 21mph for 3 hours. Then she decreased her rate of speed to 17 mph for 4 hours. How far fid they cyclist ride in 7 hour
Answer: 131 miles; 21 x 3 = 63 + 17 x 4 = 68. 63 + 68 = 131 miles
Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.
What is the speed?
The magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Here given that,
A cyclist rode at a constant speed of [tex]21[/tex]mph for [tex]3[/tex] hours. Then she decreased her rate of speed to [tex]17[/tex] mph for [tex]4[/tex] hours.
[tex]21[/tex] x [tex]3[/tex] [tex]=63 + 17 (4)[/tex]
[tex]= 131[/tex] miles
Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.
To know more about the speed
https://brainly.com/question/13263542
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which is a point 5 units to the left of 2
Answer:
1.5
Step-by-step explanation:
What value of x makes this equation true?
need done fast please, offering 25 points!
Answer:-32.5
Step-by-step explanation: move x to the other side and solve
The set of letters in the word statistics
Answer:
s, t, a, t, i, s, t, i, c, s
Step-by-step explanation:
Write an equation of the line that passes through the points (-9,-6) and (-8,1)
Answer:
y= 7x+57
Step-by-step explanation:
Answer:
y+6=7(x+9)
Step-by-step explanation:
Got this off delta math straight off the back! If this was help put a star and press the thanks button!
a. 1/2 cm per hour
b. 1 cm per hour
c. 2 cm per hour
d. 4 cm per hour
Can somebody please answer this math equation I am offering a whole 60 Brainly points:
(52 5/7) / n^3=
Answer:
The answer is 369/ 7n ^3
Step-by-step explanation:
You convert the mixed number into an improper fraction-
369/7 / n^3
Next you simplify the complex fraction-
369/ 7n ^3
The solution is- 369/ 7n ^3
Hope this helps you! :) <33
Sequence: 2, 6, 10, ... What are the next two numbers in the sequence?
Answer:
14, 18,
Step-by-step explanation:
It goes by 4's. 2 ,6 ,10 ,14 ,18.
Answer:
2, 6, 10, 14, 18
Step-by-step explanation:
Yeah it going by 4's
42 divided by -6+5 show step by step
Answer:
17
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
42/-6+5
-7+5 = -2
ILL GIVE BRAIN THING TO BEST ANSWER!!
Five times the difference of a number and Four is Five more than twice the number
FIND X FOR ME PLS
Answer:
The number (x) in: "5 more than twice a number is 17" is what we are solving here.
Step-by-step explanation:
If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?
Let's see what to do buddy...
____________________________
Reminder:
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
So we need to just Multiply above equations like this :
[tex]x + y = 70[/tex]
[tex]x - y = 40[/tex]
[tex](x + y)(x - y) = 70 \times 40[/tex]
[tex] {x}^{2} - {y}^{2} = 2800 [/tex]
____________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
8) The sum of nine times a number and 13 is equal to seven times the number,
Answer:
-7.5=x
Step-by-step explanation:
9x+13=7x
13=-2x
-7.5=x
What is 53,274 in expanded form?
Answer:
50,000 + 3,000 + 200 + 70 + 4
Step-by-step explanation:
Expand. Set all non-zero digits by itself:
53,274 = 50,000 + 3,000 + 200 + 70 + 4
Remember to fill in 0 for all digits. They must keep their value.
~
What is the slope of the line that passes through the following points 5,3 and 5,-9
Answer:
-12
Step-by-step explanation:
slope=y2-y1/x2-x1
What is the ratio AC: CB?
Answer:
D. 1 : 2
Step-by-step explanation:
Given:
A(-6, -2),
B(6, 7),
C(-2, 1)
Required:
Ratio of AC : CB
SOLUTION:
Find AC:
[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(-6, -2) = (x_1, y_1) [/tex]
[tex] C(-2, 1) = (x_2, y_2) [/tex]
[tex] AC = \sqrt{(-2 -(-6))^2 + (1 -(-2))^2} [/tex]
[tex] AC = \sqrt{(4)^2 + (3)^2} [/tex]
[tex] AC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] AC = 5 [/tex]
Find CB:
[tex] CB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] C(-2, 1) = (x_1, y_1) [/tex]
[tex] B(6, 7) = (x_2, y_2) [/tex]
[tex] CB = \sqrt{(6 -(-2))^2 + (7 - 1)^2} [/tex]
[tex] CB = \sqrt{(8)^2 + (6)^2} [/tex]
[tex] CB = \sqrt{64 + 36} = \sqrt{100} [/tex]
[tex] CB = 10 [/tex]
Find AC : CB
AC : CB = 5 : 10 = 1 : 2