Answer:
[tex]x^3-5x^2+10x-14[/tex]
Step-by-step explanation:
[tex]\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)[/tex]
Remove brackets:
[tex]2x^3-5x^2+3x-10-x^3+7x-4[/tex]
Group similar terms together:
[tex]2x^3-x^3-5x^2+3x+7x-10-4[/tex]
Add/Subtract the terms:
[tex]x^3-5x^2+10x-14[/tex]
Answer:
Step-by-step explanation:
( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )
2X³ - 5X² + 3X - 10 = X² - 10
X³ - 7X + 4 = - 7X² + 4
X² - 10 - - 7X² + 4 =
X² - 10 + 7X² + 4 =
THE ANSWER IS
8X⁴ - 6
What is the base number for the system of units ? In other words by what number do we multiply to move up in scale ? _____
help
Select all that apply. Which expressions are equivalent to 6r + 12?
x(6 +12)
2(3x + 6)
6(x+12)
6(x + 2)
3(2x + 4)
Answer:
2(3x+6), 6(x+2), and 3(2x+4)
Step-by-step explanation:
square root of 8 is between 7 and 9 true or false
The given statement is false.
We have the following statement -
Square root of 8 is between 7 and 9.
We have to determine if it is true or false.
What do you mean by square root of a number ?Square root of a number is a value, which on multiplication by itself gives the original number.
According to the question -
A = [tex]\sqrt{8}[/tex] = 2.82
Clearly, it is not between 7 and 9.
Therefore, the statement is false.
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how would you make this into an equation 10 more than the product of 7 and 8
Answer:
7*8+10=66
Step-by-step explanation:
Use the operations from the sentence into the equation and solve.
Aliyah $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
Answer:
They are $2 dollars a piece
Given f(x)=2x+1. Find. f(-3)
Answer:
f(-3)= 5
Step-by-step explanation:
f(x) = 2x+1 f(-3) -3 is the input.
= 2(-3)+1
= -6+1
f(-3) = -5
Hope this helps :)
Simplify.
6 | -5 | =
Answer:
30
Step-by-step explanation:
Now, if you are multiplying 6 times the absolute value of -5 you should get an answer of 30. Since the absolute value of -5 is 5.
help me check my answer please, its due tmrw!
cd^2
c= 5 and d= 8
Answer:
1,600
Step-by-step explanation:
This is the answer because:
1) First, rewrite the expression with the given numbers
Equation: (5)(8)^2
2) Then, we do 5 times 8 which is 40
3) Finally, 40^2 equals to 1,600 because 40 times 40 is 1,600
Hope this helps!
A plane traveled 1100 miles each way to Cairo and back. The trip was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind
Answer:
Hehe did did dodndosnsod fofmfomdixnsis
Step-by-step explanation:
Nsisndidndisnsidnsi293883 ownsie
Answer:
the speed of the wind is 11 and the speed of the plane at still air is 2
i think
Step-by-step explanation:
Rays that share a common endpoint but continues infinitely in opposite directions is called___________.
Answer:
Opposite raysStep-by-step explanation:
Rays that share a common endpoint but continues infinitely in opposite directions is called opposite rays
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions.-60 = -15k
Solve the equation.
Answer:
k=4
Step-by-step explanation:
-60 = -15k
-60÷-15= -15k÷-15
-60÷-15=k
-60÷-15=4
k=4
-60=-15k
-60= -15(4)
f(x) = (x + 1)2
What is the domain of f?
Answer:
all real values of x
Step-by-step explanation:
khan academy says so
The domain of the parabolic function is all real number. Then the correct option is E.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given below.
f(x) = (x + 1)²
Then the domain of the parabolic function is all real number.
Then the correct option is E.
More about the domain and range link is given below.
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The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 44 cm, find its area.
1-69.
Lacey and Haley are rewriting expressions in an equivalent, simpler form.
Homework Help
a. Haley simplified 23 .z and got 25. Lacey simplified 23 +22 and got
the same result! However, their teacher told them that only one
simplification is correct. Who simplified correctly and how do you know?
b. Haley simplifies 35.45 and gets the result 1210, but Lacey is not sure. Is Haley
correct? Be sure to justify your answer.
The question above was not written properly
Complete Question
Lacey and Haley are rewriting expressions in an equivalent, simpler form.
a. Haley simplified x³⋅ x² and got
x⁵
Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?
b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.
Is Haley correct? Be sure to justify your answer.
Answer:
a) Haley is correct, Lacey simplified wrongly.
b) Haley is incorrect
Step-by-step explanation:
a. Haley simplified x³⋅ x² and got
x⁵
Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?
For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.
For example
x^a × x^b = x^(a + b)
For Haley, she simplified x³⋅ x² and got
x⁵
She is correct because this follows the product rule of powers or exponents above
= x³⋅ x² = x³+² = x⁵
For Lacey she is wrong because:
x³ + x² ≠ x⁵
x³ + x² when simplified as quadratic equation = x²(x + 1)
b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.
Is Haley correct? Be sure to justify your answer.
For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:
x^a × y^a = (x × y)^a = (xy)^a
Haley is simplified wrongly. She did not apply the rule above
Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵
= 12^10, this is wrong.
The correct answer according to the rule =
3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵
Therefore,
3⁵⋅ 4⁵ ≠ 12^10
3⁵⋅ 4⁵ = 12⁵
Haley is wrong.
Thomas is trying to find the unit price for a dozen cupcakes. The cupcakes are on sale for $27.00 per dozen. What is the unit price per cupcake?
Answer:
This is really simple, look:
Step-by-step explanation:
If you want to find the unit prize for a dozen cupcakes, and the dozen is 27.00 dollars, you only have to do this:
27 divided into 12
because the unit prize is just basically the price of 1 cupcake
the answer would be 2.25 each
13(2x - 1) - 3(9x + 8) = 10
Quick help?
Answer:
1
Step-by-step explanation:
13(2x-1)-3(9x-8) = 10
or, 26x-13-(27x-24) = 10
or, 26x-13-27x+21 = 10
or, 11 - x = 10
or, 11 - 10 = x
therefore, x = 1
I hope it helped
Which expression forms an equation? 60 ÷ 6 + 5, 40 ÷ 2 + 1, 40 ÷ 1 + 5, 60 ÷ 2 + 3
Answer:
None
An equation must have an equal to sign meaning an equation must state that what is on the right must equal to what is on the left.
Step-by-step explanation:
[tex]60 \div 6 + 5\\FALSE \\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\\\:60\div \:6\::\quad 10\\\\=10+5\\\\=15[/tex]
Simplify: -5x +11x - 4+2
A 16x-6
B 4x
7x-3
D
6x-2
Answer:
Option D
Step-by-step explanation:
Combine Like Terms.
[tex]-5x+11x-4+2\\\\\boxed{6x-2}[/tex]
Hope this helps.
Answer:
D.) 6x - 2
Step-by-step explanation:
First, you add all like terms.
-5x +11x = 6x
-4 + 2= -2
= D.) 6x - 2
Hope this helps!
The number 27 raised to which power will equal 3
Answer:
-3
Step-by-step explanation:
herp derp herp derp herp derp
Step-by-step explanation:
Hey there!!
The power of 25 should be 1/3 to make it equal to 3.
Because,
=[tex] {27}^{ \frac{1}{3} } [/tex]
=[tex] {3}^{3 \times \frac{1}{3} } [/tex]
=[tex] {3}^{1} [/tex]
= 3
Hope it helps...
is y=x-2 a positive, negative or zero slope?
Answer:
negative
Step-by-step explanation:
Answer:
Positive 1
Step-by-step explanation:
The point-slope formula is y=mx+b with m representing the slope. In this equation you don't see a m but that is because m=1 so it does not have to be written.
Jacob attempted the third problem above but when checking his work he realized he made a mistake. Identify what Jacob’s mistake was in your own words, and explain what Jacob would need to do differently to avoid making that mistake in the future:
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
What happened?
Answer:
Jacob forgot to use the distributive property in the 1st step
Step-by-step explanation:
Jacob should've got 5x+10-7=3x+5 for the 2nd row.
Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given solution is
5(x+2)-7=3x+5
5x+2-7=3x+5
5x-5=3x+5
5x-5+5=3x+5+5
5x=3x+10
5x-3x=3x-3x+10
2x=10
x=5 5[(5)+2]-7=3(5)+5
5(7)-7=3(5)+5
35-7=15+5
28=20
Here we can see that the correct distribution of 5(x+2) would be 5x + 10.
Because Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10.
Jacob should be more careful when distributing the numbers, and make sure to distribute into every term inside the parentheses.
Learn more about equations here;
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The following graph predicts the time it takes to hike different distances. Which statements about the graph are true?
(Choice A)
A
The point (0, 0)(0,0)left parenthesis, 0, comma, 0, right parenthesis predicts that it takes 000 hours to hike 0 \text{ km}0 km0, start text, space, k, m, end text.
(Choice B)
B
The point (3, 7.5)(3,7.5)left parenthesis, 3, comma, 7, point, 5, right parenthesis predicts that it takes 7.57.57, point, 5 hours to hike 3 \text{ km}3 km3, start text, space, k, m, end text.
(Choice C)
C
None of the above
Answer:
The answer is [tex]A\\[/tex]
Answer:
A
Step-by-step explanation:
I got it right on khan
70 POINTSS!!!!!!! ANSWER ASAP write a paragraph on what you've learned about exponents and why some people may utilize exponents in their jobs.
HELP PLS 20 PTS PLSSSSSSSSSSS
Answer:
(9,9)
Step-by-step explanation:
Mary says the slope of this line is −6. Dayana says the slope is
2/5. Who is correct?
Y=2/5x-6
-5n + 31 = -14n - 5 what is the equation
Answer:
-4
Step-by-step explanation:
-5n+31=-14n-5
-5n+14n=-5-31
9n=-36
n=-36/9
n=-4
Answer:
n = 4
Step-by-step explanation:
-5n + 31 = -14n - 5
31 + 5 = -14n - 5n
36 = -9n
-9n = 36
-9n = -36
n = 36/9
n = 4
minus minus cut
I don't get this can someone help me?
Answer:
n=5
x= 23
p= 4
Step-by-step explanation:
What this wants us to do is find the value of the variable first, then find the measurement of the degrees.
So, for the first equation we need to make an equation.
Since the angles are vertical angles, that means they equal each other.
The equation would be.. 8n=9n-5.
Step 1- Move variable to the left hand side and change its sign
8n-9n= -5
Step 2- Collect like terms
-n= -5
Step 3- Change signs on both sides of the equation
n=5
So, now that we know what the variable is, substitute it into the equations.
8(5)= 40 9(5)-5= 40
For the second equation, the angles equal 180 degrees.
So, that would give us the equation.. 6x+19+x= 180.
Step 1- Add the common variables
(6x+x)+19= 180
7x+19= 180
Step 2- Subtract 19 from both sides.
7x+19= 180
-19 -19
7x= 161
Step 3- Divide both sides by 7
7x= 161
7 7
x= 23
So, now that we know what the variable is, substitute it into the equations.
6(23)+19= 157
157+23= 180
Finally for the last equation, they are vertical angles, so they equal each other.
So, the equation would be 5p+28= 12p.
Step 1- Move the variable to on side.
5p+28= 12p
-5p -5p
28= 12-5p
Step 2- Subtract the variables
28= 7p
Step 3- Divide by 7 to both sides.
28= 7p
7 7
p= 4
So, now that we know what the variable is, substitute it into the equations.
5(4)+28= 48
12(4)= 48
Hope this helps!! :)
Sean buys a packet of perfumed candles that contains 12 lavender, 8 vanilla, and 20 rose-perfumed candles. He randomly takes
out a candle from the packet, replaces it, and then randomly takes out another
What is the probability that he takes out a lavender
and a rose-perfumed candle
.05
.24
.3
.15
Answer:
05.
Step-by-step explanation:
trust me dude i just took this question :D
The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15 so option (D) will be correct.
What is probability?Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Do not take underestimate probability it has several uses in daily life whether forecasts or like that.
Total number of candles = 12 + 8 + 20 = 40
Probability = desire/total
So,
Probability of taking lavender first = number of lavender/total
⇒ 12/40 = 0.3
Now since we again put the lavender into the lot it means all things remain the same.
Probability of rose-perfumed second = number of rose-perfumed /total
⇒ 20/40 = 0.5
Now the probability of A and B is the multiplication of the probability of A and B individually.
So,
The probability of taking out lavender and a rose-perfumed candle
⇒ 03 × 0.5 = 0.15
Hence "The probability of taking out lavender and a rose-perfumed candle with replacement is 0.15".
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George spend $17.25 on pecans and
peanuts at a farmer's market. He bought
3 1/2 pounds of pecans
for $3.20 per pound
and 5 1/2 pounds of peanuts. What was the
price per pound for the peanuts George
purchased?
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′
Answer: the answer is CD is half the length of CD
Step-by-step explanation: