Answer:
(y + 1) • (y - 4)
Step-by-step explanation:
Trying to factor by splitting the middle term
1.1 Factoring y2-3y-4
The first term is, y2 its coefficient is 1 .
The middle term is, -3y its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
y2 - 4y + 1y - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-4)
Add up the last 2 terms, pulling out common factors :
1 • (y-4)
Step-5 : Add up the four terms of step 4 :
(y+1) • (y-4)
Which is the desired factorization
Final result :
(y + 1) • (y - 4)
Answer:
y =-1y=4Step-by-step explanation:
[tex]y^2-4=3y\\\mathrm{Subtract\:}3y\mathrm{\:from\:both\:sides}\\y^2-4-3y=3y-3y\\\\\mathrm{Simplify}\\y^2-3y-4=0\\\\\mathrm{Solve\:by\:factoring}\\\mathrm{Factor\:}y^2-3y-4:\quad \left(y+1\right)\left(y-4\right)\\\\\mathrm{Solve\:}\:y+1=0:\quad y=-1\\\mathrm{Solve\:}\:y-4=0:\quad y=4\\\\y=-1,\:y=4[/tex]
-3(-7) I need this asap pls help me
[tex]\boxed{21}[/tex]
When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------
Answer: [tex]\boxed{21}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~When you multiply two negatives (-, -,), you are gonna get a positive(+)
[Like making a cross out of two lines].
[tex]-3(-7) = +3(+7)[/tex]
Since 3(7) normally equals 21, that would be the answer for this case.how many 2/3 cups can go into 9 cups
Hello there! :D
Today we're gonna learn some math, whoopie!
Alright, so we want to know how many 2/3 cups can go into 9 cups!
Firstly, I want to turn 9 cups into a fraction with the denominator of 3.
Let me do it all fancy for you:
[tex]9=\frac{x}{3}[/tex]
We know we want the denominator to be three, now we just need to do the opposite action (multiplication) to the other side to find what "x" is!
[tex]9*3= \frac{x}{3}*3[/tex]
If you have trouble understanding that step, let me know!
[tex]x=27[/tex]
Enter that into the fraction and we have:
[tex]\frac{27}{3}[/tex]
Notice that 27 is not an even number!
Now, we can the numerator of 27/3s and divide it by the numerator of 2/3s.
[tex]27/2=13.5[/tex]
This is not a whole answer, but the question is asking how many 2/3 cups can go into nine cups. Half of a 2/3 cup does not equal a 2/3 cup, so the answer would be 13 cups.
I hope this helps you can you have a wonderful day,
Kai xx
The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]
Total number of cups = 9
The number of 2/3 cups we can get from 9 cups = x
To get the number of 2/3 cups in 9 cups, we will divide 9 by 2/3
Number of 2/3 cups in 9 cups = 9 ÷ 2/3
Number of cups in 9 cups = 9 x 3/2
x = 27/2
x = 13.5
The number of 2/3 cups that can go into 9 cups is [tex]13\frac{1}{2}[/tex]
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14. Given that ML.= 12 feet, how wide is the
garage?
A 12 ft
C 25 ft
B 24 ft
D 26 ft
What would be the first step you would take in simplifying 6 - 3+ 5 x 2 ?
Answer:
Multiply ; (5 ×2)
Step-by-step explanation:
Further explanation
[tex]6-3+5\cdot \:2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:2\::\quad 10\\=6-3+10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6-3+10\:\\:\quad 13[/tex]
In the diagram below, ZDAB and ZDAC are adjacent
angles.
Complete Question: In the diagram below, <DAB and <DAC are adjacent angles. If m<DAC = 25°, what is m<DAB in degrees? What is m<BAC in degrees?
Answer:
m<DAB = 80°
m<BAC = 105°
Step-by-step explanation:
Generate an equation that will help you find the value of x.
Since m<DAC = 25°, therefore, x - 20 = 25°
Use this equation to find x
x - 20 = 25
Add 20 to both sides of the equation
x - 20 + 20 = 25 + 20
x = 45
m<DAB = 2x - 10
Plug in the value of x
m<DAB = 2(45) - 10 = 90 - 10 = 80°
m<BAC = m<DAC + m<DAB
m<BAC = 25 + 80 = 105°
7 billion expressed in scientific notation
Given:ST=3x=3 and TU=2x=9 what is the value of ST
Answer:(x+3)2 4+4=( x+3)2=4
Step-by-step explanation:
the ratio of adults to children attending a new exhibit at the museum was found to be 8:5 based on this ratio , if 390 people attended one day , how many would be children
Answer:
150 children
Step-by-step explanation:
Ratio of adults to children= 8:5
Let the number of adults be 8 units and
the number of children be 5 units.
Total number of people
= 8 +5
= 13 units
Since there are 390 people,
13 units ----- 390 people
1 unit ----- 390 ÷13= 30 people
Number of children= 5 units
5 units ----- 30 ×5= 150 people
Thus, there are 150 children.
write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.
Answer:
work shown and pictured
Which statement describes function composition with respect to the commutative property?
O Given f(x) = x2 - 4 and g(x) = x-3, (fºg)(2) = -3 and (gºf)(2) = -3, so function composition is commutative.
O Given f(x) = 2x-5 and g(x) = 0.5x - 2.5, (fºg)(x) = x and (gof)(x) = x, so function composition is commutative
Given f(x) = x? and g(x)=xx. (fºg)(0) = 0 and (gºf)(0) = 0, so function composition is not commutative.
O Given f(x) = 4x and g(x) = x? (fog)(x) = 4x2 and (gºf)(x) = 16x?, so function composition is not commutative
Answer:
Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.
Step-by-step explanation:
Option D is correct, given f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative.
What is a function?A relation is a function if it has only One y-value for each x-value.
Function composition is not commutative in general, meaning that (fog)(x) is not equal to (gof)(x) for all functions f and g.
Let f(x) = 4x and g(x) = x², for which function composition is not commutative.
If we compose f and g, we get:
(fog)(x) = f(g(x)) = f(x²) = 4x²
If we compose g and f, we get:
(gof)(x) = g(f(x)) = g(4x) = (4x)² = 16x²
Since (fog)(x) is not equal to (gof)(x) for all x, we can conclude that function composition is not commutative in this case.
Hence, f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative, option D is correct.
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Many cereals are made with high moisture content so that the cereal can be formed into various shapes before it is dried. A cereal product containing 57% by mass is produced at the rate of 1000. kg/h. How much water must be evaporated per hour if the final product contains only 21% water
Answer:
278.482 kilograms of water must be evaporated each hour.
Step-by-step explanation:
Initial mass of cereal is equal to the product of cereal mass-to-mass ratio and total mass flow:
[tex]\dot m_{in,c} = r_{in,c}\cdot \dot m_{in}[/tex]
Where:
[tex]\dot m_{in,c}[/tex] - Inlet cereal mass flow, measured in kilograms per hour.
[tex]r_{in,c}[/tex] - Inlet cereal mass ration, dimensionless.
[tex]\dot m_{in}[/tex] - Cereal product mass flow, measured in kilograms per hour.
If [tex]r_{in,c} = 0.57[/tex] and [tex]\dot m_{in} = 1000\,\frac{kg}{h}[/tex], then:
[tex]\dot m_{in,c} = (0.57)\cdot \left(1000\,\frac{kg}{h} \right)[/tex]
[tex]\dot m_{in,c} = 570\,\frac{kg}{h}[/tex]
The initial mass flow of water is:
[tex]\dot m_{in,w} = \dot m_{in} - \dot m_{in, c}[/tex]
[tex]\dot m_{in,w} = 1000\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]
[tex]\dot m_{in,w} = 430\,\frac{kg}{h}[/tex]
Given that final total mass flow contains only 21 % water, the final water mass flow, measured in kilograms per hour, is:
[tex]\dot m_{out} = \frac{\dot m_{out, c}}{r_{out, c}}[/tex]
([tex]\dot m _{out, c} = 570\,\frac{kg}{h}[/tex], [tex]r_{out} = 0.79[/tex])
[tex]\dot m_{out} = \frac{570\,\frac{kg}{h} }{0.79}[/tex]
[tex]\dot m_{out} =721.518\,\frac{kg}{h}[/tex]
[tex]\dot m_{out,w} = \dot m_{out} - \dot m_{out, c}[/tex]
[tex]\dot m_{out,w} = 721.518\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]
[tex]\dot m_{out,w} = 151.518\,\frac{kg}{h}[/tex]
Finally, the amount of water that must be evaporated per hour is:
[tex]\dot m_{evap} = \dot m_{in,w}-\dot m_{out,w}[/tex]
[tex]\dot m_{evap} = 430\,\frac{kg}{h} - 151.518\,\frac{kg}{h}[/tex]
[tex]\dot m_{evap} = 278.482\,\frac{kg}{h}[/tex]
278.482 kilograms of water must be evaporated each hour.
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 250.5 + 35m = 300 + 45.25m 250.5 – 35m = 300 – 45.25m 250.5m – 35 = 300m – 45.25 250.5m + 35 = 300m + 45.25
Answer:
250.50 - 35m = 300 - 45.25m
Step-by-step explanation:
Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other
The equation will be 250.50 - 35m = 300 - 45.25m
The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m
Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.
Answer:
b) 250.5 – 35m = 300 – 45.25m
Step-by-step explanation:
on edge 2020 || pls mark brainliest
combine the like terms to simplify the expression 3x-4+2x+8
Answer:
x +4
Step-by-step explanation:
3x-4+2x+8
Combine like terms
3x+2x -4+8
x +4
Answer:
5x + 4
Step-by-step explanation:
3x - 4 +2x * 8
Combine 3x and 2x
5x - 4 +8
Combine -4 and 8
5x + 4
Find the measure of the arc.
A
146°
E
mBC =[ ? ]
Answer:
124
Step-by-step explanation:
we are given 146 right away.
That little square means a 90 degree angle
146 + 90 = 236
360 - 236 = 124
(360 degrees is the sum of a complete circle.)
The measure of the arc (ABC) is 270 degree.
What is an angle?In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.
Angle can be used to measure any angular rotational motion since it cannot be measured in terms of length parameters like metres or inches. Instead, it is measured as an angle in terms of degrees or radians.
As we know that the angle of complete rotation is 360°.
So, ∠ADC + ∠ABC = 360
We know ∠ADC = 90°
Then, ∠ABC = 360° - 90°
∠ABC = 270°
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1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2+5y+1
Step-by-step explanation:
1+x^2-3+2y+7x^2+3+3y
Combine like terms
x^2+7x^2+2y+3y+3+1-3
8x^2+5y+1
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Plz help me on 1-5 I’m so confused !!
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Okay! Ask her she is good and mean to me at the same time! (She deleted my answers that helped ppl) But her is her account go follow and Inbox her on Brainly ok?
Her Username is:
Gabriella8671
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Answer in the comments please
a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the new volume be?
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
Solve b – 3/16 =5/16
b= __
Answer: 0.5
Step-by-step explanation:
Add 3/16 to both sides to isolate the variable on one side. Then the equation should be x=8/16 which is 0.5.
write 3 × 20 sec=t as a word problem
Answer:
If you had a three person relay race and you all took 20 seconds each, how long did your race last? hope this will help :)
if |x|=6 then x=-6 true or false
Answer:
false because it could be 6
Step-by-step explanation:
Write 8.87 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
8 87/100 = 887/100
Step-by-step explanation:
"Eight and eighty-seven hundredths" is ...
8 87/100 = 887/100
Answer:
Step-by-step explanation:
Convert to a fraction by placing the decimal number over a power of
10
.
887
100
Simplify when it is possible. 10x² -y + x² =
Answer:
11x² - y
Step-by-step explanation:
Step 1: Write out expression
10x² - y + x²
Step 2: Combine like terms
11x² - y
That is simplest form.
Answer:
[tex]\huge \boxed{11x^2-y}[/tex]
Step-by-step explanation:
[tex]10x^2 -y + x^2[/tex]
Grouping like terms.
[tex](10x^2 + x^2)-y[/tex]
Combining like terms.
[tex](11x^2)-y[/tex]
EASY— get marked brainliest!!!
Answer:
y≥1/2 x +1
Step-by-step explanation:
first the line in the graph is bold and not dotted
so the sign is either ≤ or≥
the shaded area is on the top , on this case it is greater than
the right answer is y≥1/2 x +1
The question is in the photo.
Answer:
Question 2 because the point up is -6 and to the right is 2
Step-by-step explanation:
What is another word for evaluate?
Answer:
another word for evaluate is solve
Answer:
Evaluate --> find a numerical expression or equivalent for (an equation, formula, or function).
Also evaluate means checking ( for a teacher )
a cylinder is a radius of 8cm and a volume of 800cm³ calculate it's height and total surface area
Answer:
3.98 cm, 602.18 cm²
Step-by-step explanation:
Given:
r= 8 cmV= 800 cm³To find:
h = ?S = ?Solution:
V = πr²hh = V/πr² = 800/(π8²) = 3.98 cmS = 2πr (r+h) = 16π(8+3.98) = 602.18 cm²2x + 9x2 + 4x + 4xy – 6x2
Simplified would be 4xy + 3x^2 + 6x
Answer:
4xy+3x²+6x
Step-by-step explanation:
What is the product?
5
-2
-6
2
Answer:
-3
4
Step-by-step explanation:
We do across times down
5*-1 + -2 *-1 = -5+2 = -3
-6 *-1 + 2 * -1 = 6 -2 = 4
Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prisim that is 10 inches tall and 5 inches wide to the nearest foor what will be the length of the wall
Answer: 933.12 inches
Step-by-step explanation:
Givem that Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prisim that is 10 inches tall and 5 inches wide to the nearest foor
1 cubic yard = 46656 cubic inches
Volume = Length × width × height
Substitute all the parameters
46656 = 10 × 5 × height
46656 = 50 height
Height = 46656 / 50
Height = 933.12 inches
solve the product of : 0.017 and 10
(( TYPE the STEPS you used to set up the problem and type your steps to solve. )) THANK YOU!!
The product of any two numbers is the result of multiplying them
You can use pencil and paper to get the job done, or use a calculator.
A shortcut is to simply move the decimal over 1 spot to the right.
This is because multiplying 0.017 and 10 is the same as 0.017*10^1, where the exponent of positive 1 means "move decimal point 1 spot to the right". This only works if you multiply by powers of 10.
Answer: 0.17