Simplifying Expressions
3. Which of the following expressions is the simplified form of the expression below?
(x^3+2x^2+5) - (8x^2 - 4x + 6)
A. 10x -11
B. 9x^3-- 2x^2 +11
C. 7x^2 - 2x^2 -1
D. x^3-6x^2+ 4x - 1
Answer:
As
[tex]\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1[/tex]
Therefore, option D is the correct answer is.
Step-by-step explanation:
Given the expression
[tex]\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)[/tex]
solving to simplify the expression
[tex]\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)[/tex]
[tex]=x^3+2x^2+5-\left(8x^2-4x+6\right)[/tex] ∵ [tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=x^3+2x^2+5-\left(8x^2-4x+6\right)[/tex]
[tex]=x^3+2x^2+5-8x^2+4x-6[/tex]
Group like terms
[tex]=x^3+2x^2-8x^2+4x+5-6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:2x^2-8x^2=-6x^2[/tex]
[tex]=x^3-6x^2+4x+5-6[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:5-6=-1[/tex]
[tex]=x^3-6x^2+4x-1[/tex]
Therefore, the simplified form of the expression is
[tex]\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1[/tex]
Therefore, option D is the correct answer is.
Find the slope of the line. Use the "/" to make a fraction if needed. Reduce your answer.
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
This line goes down 1 unit and right 2 units.
Help pls its just math :(
Ik it sucks I hate math too, pls help tho
Answer: x = -1
Step-by-step explanation: Insert all the numbers into x, and when you insert -1 to x, you get 40.
Answer:
x = - 1
Step-by-step explanation:
Given
- 4(3x - 7) = 40 ( divide both sides by - 4 )
3x - 7 = - 10 ( add 7 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
List the factors that are divisible by 33,424,380. 2 3 4 5 8 9 10
Answer:
The factors are 2,3,4,5,8,10
Step-by-step explanation:
Here, we want to list out the factors that can divide 33, 424 and 380
The factors include;
2, 3 , 4 , 5, 8, 10
Kindly note that each of these factors can divide at least one of the listed numbers
-49b + 35
What is the answer simplified, without actually solving the problem?
Answer:
-24b
Step-by-step explanation:
I think (Please give me Brainliest!)
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule a=16b.
A.) Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain.
B.) Suppose the coach spent $128 before tax. How many basketballs did she buy?
Answer: 0,16,32,48,64
Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16
The discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the amount which a basketball coach spends at a sporting goods store and it depends on the number of basketballs the coach buys. The situation is represented by the function rule a = 16b.
The given equation is -
a = 16b
where -
[a] represents the amount spend by the basketball coach.
[b] represents the number of basketballs buyed.
PART - AThe table is given as follows -
[b] [a]
0 0
1 16
2 32
3 48
4 64
The graph of the representing the function rule - a = 16b is attached with the answer. The graph is discrete as number of basketballs cannot exist in fractions. This means the possible values of [b] will be whole numbers only.
PART - B
If coach spent $128, then the number of footballs bought will be -
b = 128/16
b = 8
Number of footballs bought were 8.
Therefore, the discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.
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If m<1 = 38 then m<4 =
Answer:
If m<1 = 38 then m<4 = 38
Step-by-step explanation:
Both of the angles equal 38 degrees. This is true because the angles are vertical, vertical angles are angles opposite each other where two lines cross. Vertical angles are also always congruent, therefore the m<4=38.
The points in the table lie on a line. Find the slope of the line.
Х
1
3
5
7
y
2
10
18
26
The slope of the linelis
21
If the given points in the table lie on a line, then the slope of a line is, 4
What is slope?Slope is a ratio of change in y-coordinate w.r.t. change in x-coordinate. The net change in y coordinate is written as, Δy and the net change in x coordinate is written as, Δx.
So formula for the slope is,
m = change in y coordinate/change in x coordinate = Δy/Δx
Given that,
Coordinates of a point through which line is passing,
X: 1 3 5 7
Y: 2 10 18 26
The slope of a line = ?
The slope of a line can be calculated by finding the rise (difference in the y-values) over the run (difference in the x-values) between two points on the line.
Now, Using the first and last points in the table:
First point- (1, 2)
Second Point- (7, 26)
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (26 - 2) / (7 - 1)
= 24 / 6
= 4
The slope of the line is 4.
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What is the sign of 123\dfrac{1}{23} + \left(-123\dfrac{1}{23}\right)123 23 1 +(−123 23 1 )123, start fraction, 1, divided by, 23, end fraction, plus, left parenthesis, minus, 123, start fraction, 1, divided by, 23, end fraction, right parenthesis? Choose 1 answer: Choose 1 answer: (Choice A) A Positive (Choice B) B Negative (Choice C) C Neither positive nor negative—the sum is zero.
Answer:
C Neither positive nor negative—the sum is zero.
Step-by-step explanation:
Given the expression
(1/23)+(-1/23)
Required
The sign of the resulting expression
Note that the product of a minus and a plus sign is minus sign i.e (-×- = +)
The equation becomes;
= 1/23 - 1/23
= 0/23
= 0
Hence the resulting value is neither positive nor negative since the sum is zero
Answer:
b- negative
Step-by-step explanation:
did it on khan it gave me the answer of B
solve for u and simplify the fraction 2/5u=4
Answer:
u=10 the fraction simplified once you plug in u would be 4
Select the option that does NOT mean VERTICAL.
Of or relating to vertigo, often experiencing dizziness
At right angles to the
horizontal plane
In the up and down direction
Rising straight upward
Answer:
Of or relating to vertigo, often experiencing dizziness
Explanation:
Verticle describes something that rises straight up from a horizontal line or plane. For more information take a look at the picture below.
Have a beautiful day! v(⌒o⌒)v♪
something 8 guess Im just saying stuff haahaa
Over 12 months, the value of Mrs. Marino's stocks dropped
a total of $36, or -$36. What integer value represents the
average monthly change in the value of her stocks ??
Write an algebraic expression that you can use to determine the total cost of buying a watermelon that weighs w pounds and some tomatoes that weigh t pounds. Watermelons are on sale for $0.68 per lb and tomatoes are $3.25 per lb. (Do not enter dollar signs or spaces in your expression.)
Answer:
C = 0.68w + 3.25t
C is total cost
Step-by-step explanation:
Krista has a garden that is 5 yards by
23 yards and wants to cover it with
compost. The compost is sold in bags
that cover 5, 15, or 30 square yards.
Which size bag should Krista buy?
A 5 square yards
B 15 square yards
C 30 square yards
The length of a tarpaulin is 3ft. more than thrice its width and its area is 126ft². What is the length of the tarpaulin?
Answer:
Length = 22 ft
Width = 6 ft
Step-by-step explanation:
Let the width of the tarpaulin be x meters.
Therefore, length = 3x + 3
Area of tarpaulin = 126 ft²
[tex]x(3x + 3) = 126 \\ \\ 3x(x + 1) = 126 \\ \\ {x}^{2} + x = \frac{126}{3} \\ \\ {x}^{2} + x = 42 \\ \\ {x}^{2} + x - 42 = 0 \\ \\ {x}^{2} + 7x - 6x - 42 = 0 \\ \\ x(x + 7) - 6( {x + 7)} = 0 \\ \\ (x + 7)(x - 6) = 0 \\ \\ x + 7 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 7 \: \: or \: \: x = 6 \\ \\ \because \: x \: is \: side \: length \\ \therefore \: it \: can \: not \: be \: negative \\ \implies \: x \notin - 7 \\ \\ \implies \: x = 6 \\ \\ 3x + 3 = 3 \times 6 + 3 \\ \\ 3x + 3 = 18 + 3 \\ \\ 3x + 3 = 21 \\ \\ length \: of \:the \: tarpaulin \: = 21 \: ft \\ \\ width \: of \: the\: tarpaulin \: = 6 \: ft \\ [/tex]
Please Do!!! IN A HURRY!
will name the BRAINLIEST!!!
Answer:
HURRY
Step-by-step explanation:
Which number below is greater than 9 but less than 10?
Answer choices
A: 45
B: 80
C: 100
D: 85
What is 7x1??????????????????????????
Answer:
7
Step-by-step explanation:
Can you help me please (get brainliest)
9514 1404 393
Answer:
4/25
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
[tex]\left(2\cdot\dfrac{-1}{2}\cdot\dfrac{2}{5}\right)^2=\left(\dfrac{-2}{5}\right)^2=\dfrac{(-2)^2}{5^2}=\boxed{\dfrac{4}{25}}[/tex]
someone help 6th grade math i will give brainliest
Answer:
240 should be the answer
Step-by-step explanation:
80% of 300 is 240
Answer:
The correct answer would be 240. If you start at 10 percent which already gives you 30 then continue to go up. Move on by 10 percent until you get to 80 percent which is the amount of televisions that are high definition. Once you count by 10 percent with 30 everyitme you will lead to the answer of 240.
Step-by-step explanation:
Just count by 30’s eight times and you get your answer which I supplied above. I hope this helps.
-Vizion
Write the equation of the line passing through the point (-2, 2) that is parallel to the line y = 2x + 3
Hi there! :)
[tex]\large\boxed{y = 2x + 6}[/tex]
A line that is parallel to y = 2x + 3 must have the same slope of 2. Therefore:
We can use the given point as well as the slope-intercept formula y = mx + b to solve.
Plug in the x-coordinate for "x" and y-coordinate of the point into "y":
2 = 2(-2) + b
2 = -4 + b
6 = b
Rewrite the equation:
y = 2x + 6
The cost of filling up Jason's car is directly proportional to the number of gallons purchased. It if costs Jason $32.40 to purchase 15 gallons of gas, find the cost of purchasing 20 gallons of gas.
Answer:
$43.2
Step-by-step explanation:
32.4÷15=2.16
2.16×20=43.2
The cost of purchasing 20 gallons of gas will be $43.2.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The costs Jason $32.40 to purchase 15 gallons of gas.
Now,
Let the cost of purchasing 20 gallons of gas = x
Since, The costs Jason $32.40 to purchase 15 gallons of gas.
So, By definition of proportion we get;
⇒ $32.40/15 = x / 20
⇒ 32.40 × 20 / 15 = x
⇒ x = $43.2
Thus, The cost of purchasing 20 gallons of gas = $43.2
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The Newtown Telephone Company advertises that if you use their 10-10 service, you will always pay only 9c per minute, no matter where you call within the country. Its major rival, Tryus Telephone Company, charges only 3c per minute, but you must pay a 36 c "connection fee" per call.
Create a cost equation for each telephone company where y is the total cost for each phone call (in cents), and x is the number of minutes the phone call lasts. Write a system of equations.
Answer:
y = 9x cents
y = (36 + 3x) cents
Step-by-step explanation:
Given that:
Newtown telephone company :
Fee per minute = 9c
Tyrus company :
Fee per minute = 3c
Connection fee = 36c
Cost equation :
y = total cost for each phone call:
x = minutes phone call last ;
Newton Company :
y = (fee per minute * minute phone call last)
y = 9 * x
y = 9x cents
Tyrus Company:
y = (connection fee + (fee per minute * minute phone call last))
y = (36 + (3 * x))
y = (36 + 3x) cents
Which values from the given replacement set make up the solution set of the inequality?
m+7<18 ; {8, 9, 10, 11}
{9, 10, 11}
{8, 9, 10}
{8, 9}
{10, 11}
Answer:
B: 8,9,10
Step-by-step explanation:
PLEASE HELP!!!! What has to be true if you want to solve a quadratic?
Answer:
The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.
Linda will spend more than $26 on gifts. So far, she has spent $12. What are The possible additional amounts she will spend?
Answer:
Step-by-step explanation:
14
A translation of (x - 4, y + 5) means
Answer:
it means left 4 and up 5
Step-by-step explanation:
I took the test
Please help me out with this
Answer: x=42
Step-by-step explanation:2x+2x+12=4x+12=180 so 180-12=4x
A small bookstore is downsizing and has lost employees at a steady rate. The company started with 30 employees but lost 3 employees each month for the past 4 months. Identify key features of the graph of this function.
Answer:
Join Zoom Meeting
Meeting ID: 385 546 8984
Passcode: icecream4
Step-by-step explanation:
Tyler has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Tyler randomly removes a chew from the bag, records the result, and returns the chew to the bag. Tyler performs the experiment 38 times. The results are shown below:
A orange chew was selected 28 times.
A cherry chew was selected 7 times.
A peach chew was selected 3 times.
Based on these results, express the probability that the next chew Tyler removes from the bag will be peach chew as a percent to the nearest whole number.
Answer:
8%
Step-by-step explanation:
Mathematically, the probability of an event can be obtained by dividing the expected number in which event will turn up divided by the total number we have in the sample space
From the question, the total number of times in which the experiment is performed is 38 times
The number of times we have the peach chew selected is 3 times
So the probability that the next removal will be a peach chew will be;
3/38 = 0.079
This as a percent is 7.9%
To the nearest whole number, this figure is 8%