Answers
[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]
Answer: [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Related Questions
if the point (7,3) is on the graph of an equation, which statement must be true
i need help asap
Answers
Tabitha earns $7 per hour working at the mail. Last week, she worked for 12 1/4 hours. Which best describes how much money she earned?
A- a little less than $65
B- a little less than $77
C- a little less than $84
D- a little less than $90
Answers
Answer:
D
Step-by-step explanation:
7 * 12 = 84
And 1/4 hours which is 7/4 which is $1.25 more.
So she got 85.25 dollars in total, which is a little less than $90.
Alyssa and Elijah are classmates who received the same homework assignment. Alyssa spent 45 minutes on the assignment, and Elijah spent 2 hours.what is the ratio in simplest form of the amount of time on the assignment to the amount of time Elijah spent?
Answers
Answer:
3 : 8
Step-by-step explanation:
Two hours = 120 minutes
Alyssa:Elijah
45 : 120
3 : 8
Find the roots of the quadratic function by completing the square: x^2 + 4x - 1 = 0
Answers
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
To complete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(2)x + 2² = 1 + 2² ← complete the square on the left side
(x + 2)² = 5 ← take the square root of both sides
x + 2 = ± [tex]\sqrt{5}[/tex] ← subtract 2 from both sides
x = - 2 ± [tex]\sqrt{5}[/tex]
roots are x = - 2 - [tex]\sqrt{5}[/tex] or x = - 2 + [tex]\sqrt{5}[/tex]
Final answer:
To find the roots of the quadratic function x² + 4x - 1 = 0, the equation is rearranged, a perfect square is formed by adding (b/2)² to both sides, and the square root is taken to obtain the solutions x = √{5} - 2 and x = -√sqrt{5} - 2.
Explanation:
To find the roots of the quadratic function x² + 4x - 1 = 0 by completing the square, we need to follow a series of steps:
First, we'll arrange the equation so that the x-squared and x terms are on one side, leaving the constant on the other side. In this case, we add 1 to both sides to obtain x² + 4x = 1.
Next, we find the number that needs to be added to x^2 + 4x to make it a perfect square trinomial. This number is (b/2)², where b is the coefficient of x. Here, b is 4, so we need to add (4/2)² = 4 to both sides.
Our equation now reads x² + 4x + 4 = 5. Notice that the left-hand side is a perfect square, as it can be written as (x+2)².
Finally, we take the square root of both sides, giving us x + 2 = √{5} or x + 2 = -√{5}. Therefore, the solutions are x = √{5} - 2 and x = -√{5} - 2.
To check our solutions, we could substitute them back into the original equation and ensure that the left side equals zero.
if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)
Answers
Answer:
Part 1: Find (f/g)(4) = 3
Part 2: Find (f+g)(4) = 28
Step-by-step explanation:
Part 1: Find (f/g)(4):
(f/g)(4) means divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex]\frac{x^2+2x-3}{x^2-9}\\=\frac{(x+3)(x-1)}{(x-3)(x+3)}\\=\frac{x-1}{x-3}[/tex]
Plugging in 4 into x gives us:
[tex]\frac{x-1}{x-3}\\=\frac{4-1}{4-3}\\=\frac{3}{1}\\=3[/tex]
The answer is 3
Part 2: Find (f+g)(4):
(f+g)(4) means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.
Let's do this:
[tex](x^2+2x-3)+(x^2-9)\\=2x^2+2x-12[/tex]
Plugging in 4 into x gives us:
[tex]2x^2+2x-12\\=2(4)^2+2(4)-12\\=28[/tex]
The answer is 28
Answer: the first one is -11 and the second one is 0
step-by-step explanation:
someone answered your question but it was wrong so i had too guess and got the real answers since you know ... i ended up getting it wrong lol so yea
The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)
Answers
Answer:
Option D. [tex]y=3(x+2)^{2}+5[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
If a> 0 then the parabola open up and the vertex is a minimum
If a< 0 then the parabola open down and the vertex is a maximum
In this problem the vertex is the point (-2,5)
so
the equation must be equal to
[tex]y=a(x+2)^{2}+5[/tex] and the value of a is positive
therefore
the answer is the option D
Answer:
y=3(x+2)^2+5
Step-by-step explanation:
y = 3(x+2)^2 + 5 Is the correct answer
What is the total amount of sap the trees produced that day
Answers
Answer:
wrong its 5gallons
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINIEST! I really need help and dont get this problem please help (explaining will also be greatly appreciated and right answers)
Based on the graph below, what are the solutions to the equation f(x) = g(x)?
x = −2.4, 1.4, 3.9
x = −2.4, 0.25, 1.4
x = −2, 2, 3
x = −2, 1, 3
Answers
The possible values of x are -2.4,1.4,3.9
Step-by-step explanation:
F(x)=3x - 1
G(x)=x³-3x²-4x
when we will plot we are given two functions f(x) and g(x) as:
the graph of these two functions we could clearly see that the point of intersections are the possible solutions of the equation .
F(x)=G(x)
the points of the intersection of this equation is x= -2.4,1.4,3.9
Hence the solutions are x= -2.4,1.4,3.9.
There are two mixtures. One mixture contains 5% alchol and the other mixture contains 12% alchol. How much of each should be mixed to make 1000 gallons with 10% alchol
Answers
Answer:
to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture that contains 5% alcohol and 285,7 gallons of mixture that contains 12% alcohol.
Step-by-step explanation:
According to the statement, there are two mixtures. One mixture contains 5% alcohol and the other contains 12% alcohol.
We want to make 1000 gallons with 10% alcohol, so we have the following system of equations:
A + B = 1000 gallons. [1]
0.05A + 0.12B = 0.1(1000) ⇒ 0.05A + 0.12B = 100 [2]
(Where 'A' represents the mixture that contains 5% alcohol and 'B' the one that contains 12% alcohol).
Solving the system of equations:
A + B = 1000 ⇒ A = 1000 - B [3]
[3] → [2]
0.05(1000 - B) + 0.12B = 100 ⇒ 50 - 0.05B + 0.12B = 100
⇒ 0.07B = 50 ⇒ B = 714.28 ≈ B=714.3 [4]
[4] → [1]
A + B = 1000 ⇒ A + 714.3 = 1000 ⇒ A = 285,7
Therefore, to make 1000 gallons with 10% alcohol, we need 714.3 gallons of mixture 'A' and 285,7 gallons of mixture 'B'
Write this ratio as fraction in simplest form 20 ounces to 2 pounds
Answers
Answer:
10oz:1lb
Step-by-step explanation:
divide by two
may somebody help me please
Answers
Answer:
The answer would be D because both ordered pair that was substituted in the equation didn't equal to each other.
Explanation:
All you do is substitute the x and y numbers. (x,y)
A:
Substitute the x and y number
7(2) - 5 = 4(4) - 6
Multiply the number in the parentheses by the outside number on both sides.
14 - 5 = 16 - 6
Subtract both sides to get your solution.
9 = 10
Doesn't equal so that means it's not the solution.
B:
Substitute
7(3) - 5 = 4(6) - 6
Multiply the number in the parentheses by the outside number on both sides.
21 - 5 = 24 - 6
Subtract both sides to get your solution.
16 = 18
It also doesn't equal so that means that it's not the solution either.
C:
Both ordered pair didn't equal to each other so this is not the answer.
Hope this helps!
Two plus two equals?
Answers
Two plus two is equal to four
Answer:
2+2=4
Step-by-step explanation:
1+1=2
1+1=2
^=4
HOPE THIS HELPEDS!!!!! XD
Can I have brain? please
1) An apple drops off the apple tree from a height of 8 feet. How long does it take the apple to reach the ground? Use the function f(x) = -16x^2 + c, where c is the initial height of a falling object, to find the answer.
2) Trinette cut a square tablecloth into 4 equal pieces that she used to make two pillow covers. The area of the tablecloth was 3600 square inches. What is the side length of each piece Trinette used to make the pillow covers?
3) Elton earns x dollars per hour at the bookstore. His mother, Evelyn, earns x^2 dollars per hour as a career counselor. Twice Evelyn's wage equals $84.50. What is Elton's hourly wage? Round you answer to the nearest cent.
Answers
Answer:
Part 1) [tex]\frac{\sqrt{2}}{2}\ sec[/tex] or [tex]0.7\ sec[/tex]
Part 2) The side length of each piece Trinette used to make the pillow covers is [tex]30 in[/tex]
Part 3) Elton's hourly wage is [tex]\$6.50[/tex]
Step-by-step explanation:
Part 1)
Let
x------> the time in seconds
we have
[tex]f(x)=-16x^{2}+c[/tex]
In this problem the initial height is 8 ft
so
[tex]f(x)=-16x^{2}+8[/tex]
To find how long does it take the apple to reach the ground, equate the function to zero and solve for x
[tex]0=-16x^{2}+8[/tex]
[tex]16x^{2}=8[/tex]
[tex]x^{2}=1/2[/tex]
[tex]x=\frac{\sqrt{2}}{2}\ sec[/tex]
[tex]x=0.7\ sec[/tex]
Part 2)
step 1
The area of a square tablecloth is
[tex]A=3,600\ in^{2}[/tex]
Divided by 4
[tex]3,600/4=900\ in^{2}[/tex]
step 2
Find the length of each piece
[tex]A=b^{2}[/tex]
so
[tex]900=b^{2}[/tex]
[tex]b=30 in[/tex]
Part 3)
we know that
[tex]2x^{2} =84.50[/tex]
solve for x
[tex]x^{2} =42.25[/tex]
[tex]x=\sqrt{42.25}[/tex]
[tex]x=\$6.50[/tex]
Lines A and B are represented by the equations given below: Line A: 6x + 6y = 24 Line B: x + y = 4 Which statement is true about the solution to the set of equations? (1 point) Select one: a. It is (24, 4). b. There are infinitely many solutions. c. It is (4, 24). d. There is no solution.
Answers
Answer:
I believe it is C
Step-by-step explanation:
since x+y=4 that could mean, 2+2=4 which means x and y has the same value, that is 2.
so if we make the equation
6(2)+6(2)= it WOULD equal to 24, and for that reason I think it is C.
(24,4)
Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.
Answers
Answer:
[tex]\large\boxed{f(x)+(x-3)^2-7}[/tex]
Step-by-step explanation:
[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7[/tex]
What is the measure of 1
76
92
118
88
Answers
Answer:
[tex]m<1=92\°[/tex]
Step-by-step explanation:
we know that
The sum of the interior angles in a quadrilateral must be equal to 360 degrees
so
[tex]62\°+92\°+114\°+m<1\°=360\°[/tex]
solve for the measure of angle 1
[tex]268\°+m<1\°=360\°[/tex]
[tex]m<1=360\°-268\°=92\°[/tex]
Answer:
The answer is
B. 92 degrees.
Step-by-step explanation:
Interest in the trainings offered at the pet shelter decreased from summer to winter. This change can be represented as -83. What is the absolute value of -83?
Answers
It would be 83.
Reason it 83 units away from 0.
I hope this helps :)
Answer:
83
Step-by-step explanation:
Find the equation of the circle in standard form for the given center (h, k) and radius r: (h, k) = (0, 0), r = 4
Answers
Answer:
[tex]x^2+y^2=16[/tex]
Step-by-step explanation:
The equation of a circle with center (h,k) and radius r is given by the formula;
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Given (h,k)=(0,0) and r=4, we substitute the values to obtain;
[tex](x-0)^2+(y-0)^2=4^2[/tex]
The required equation is
[tex]x^2+y^2=16[/tex]
The standard form of the equation for a circle centered at the origin with a radius of 4 is x2 + y2 = 16.
The equation of a circle in standard form with the center at the origin (0, 0) and a radius of 4 is given by x2 + y2 = r2, where x and y are the coordinates of any point on the circle, and r is the radius.
Plugging the given radius into the equation, we have x2 + y2 = 42. Simplifying this, we get the equation x2 + y2 = 16. This is the standard form of the equation for the given circle.
What is the 9th term of the sequence? 3,-12,48,-192,
A. 786,432
B. -196,608
C. -786,432
D. 196,608
Answers
D, 196,608.
The sequence is multiplying by -4 every time.
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the 9th term of the following sequence :
3, -12, 48, -192, . . .
Let a(n) denote the n-th term of the given sequence.
Then, a(1) = 3, a(2) = -12, a(3) = 48, a(4) = -192, . . .
We see that
[tex]\dfrac{a(2)}{a(1)}=\dfrac{-12}{3}=-4,\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{48}{-12}=-4,\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{-192}{48}=-4,~~.~~.~~.[/tex]
So, we get
[tex]\dfrac{a(2)}{a(1)}=\dfrac{a(3)}{a(2)}=\dfrac{a(4)}{a(3)}=~~.~~.~~.~~=-4.[/tex]
That is, the given sequence is a GEOMETRIC one with first term a = 3 and common ratio d= -4.
We know that
the n-th term of an geometric sequence with first term a and common ratio r is given by
[tex]a(n)=ar^{n-1}.[/tex]
Therefore, the 9th term of the given sequence is
[tex]a(9)=ar^{9-1}=3\times(-4)^8=3\times 65536=196608.[/tex]
Thus, the 9th term of the given sequence is 196608.
Option (D) is CORRECT.
a delivery company charges an extra fee for a package that weighs more than 100 pounds write an inequality that shows the weight w, in pounds, of a package that sonia can ship without having to pay the extra fee
Answers
Answer:
[tex]w\leq 100\ pounds[/tex]
Step-by-step explanation:
Let
w------> the weight in pounds
we know that
A delivery company charges an extra fee for a package that weighs more than 100 pounds
so
For
[tex]w> 100\ pounds[/tex] -----> the company charges an extra fee
therefore
For
[tex]w\leq 100\ pounds[/tex] ----> the company not charge an extra fee
The inequality w ≤ 100 expresses the weight limit for Sonia's package. Jesse should use kilograms to weigh the box in the mailroom.
The inequality is: w ≤ 100
Since Sonia can ship packages without paying the extra fee for weights up to 100 pounds. Therefore, any package weighing 100 pounds or less would not incur the additional charge.
Jesse should use kilograms to weigh the box of books in the mailroom because it's a more appropriate metric unit considering the size and weight of the objects in the box.
Part 2
TOO PART 1 Please help me
Answers
Answer:
Part A) The volume of the ice cream scoop is [tex]36\pi\ in^{3}[/tex]
Part B) The melted ice cream won't fill the cup
Part C) The melted ice cream exceeds the volume of Anna's cup
Part D) The height of the smallest cylindrical cup is [tex]h=8\ in[/tex]
Step-by-step explanation:
Part A) Find the volume of the ice cream scoop
we know that
The volume of the sphere (ice cream scoop) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=3\ in[/tex]
substitute
[tex]V=\frac{4}{3}\pi (3)^{3}=36\pi\ in^{3}[/tex]
Part B) Find the volume of Anna's cylindrical cup
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=3\ in[/tex]
[tex]h=6\ in[/tex]
substitute
[tex]V=\pi (3)^{2}(6)=54\pi\ in^{3}[/tex]
[tex]54\pi\ in^{3}> 36\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is greater than the volume of melted ice cream scoop
therefore
The melted ice cream won't fill the cup.
Part C) Will two scoop of melted ice cream fit in Anna's cup?
Multiply the volume of ice cream scoop by 2 and compare with the volume of Anna's cup
so
[tex](2)36\pi\ in^{3}=72\pi\ in^{3}[/tex]
[tex]72\pi\ in^{3}> 54\pi\ in^{3}[/tex]
The volume of Anna's cup (cylinder) is less than the volume of two melted ice cream scoop
therefore
The melted ice cream exceeds the volume of Anna's cup
Part D) Find the smallest cylindrical cup that will hold two scoops of melted ice cream
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]V=72\pi\ in^{3}[/tex] ------> volume of two scoops of melted ice cream
[tex]r=3\ in[/tex]
substitute in the formula and solve for h
[tex]72\pi=\pi (3)^{2}h[/tex]
simplify
[tex]72=(9)h[/tex]
[tex]h=8\ in[/tex]
For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?
Answers
So what they are trying to say is that they both have the same y-intercept. Easy!
Make y the subject:
5x - 2y = 3
2y = 5x - 3
y = 2.5x - 1.5
The y-intercept is -1.5.
Make y the subject:
x + y = a
y = -x + a
Therefore, a must be -1.5 !
The system of linear equations has a solution on the y-axis only when a = -3/2
When the system has one solution?
We have the system of linear equations:
5x - 2y = 3
x + y = a
Now let's write both in slope-intercept form:
y = (-3/2) + (5/2)x
y = a - x
If we want the lines to intersect at the y-axis, then we will have x = 0, replacing that we get:
y = -3/2
y = a
So, for the system to be consistent, we must have a = -3/2.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?
Answers
Answer:
Yes, it does.
Step-by-step explanation:
Every regular shaped figure will have rotational symmetry, since they are built with identical segments all around.
To find the answer, ask yourself « If I rotate the shape, is there a time where I’ll find the exact same shape again with a different angle? »
So, a square has rotational symmetry, but not a rectangle.
A equilateral triangle has rotational symmetry, but not any other type of triangle.
The Ferris wheel shaped like a regular octagon would have rotational symmetry.
What is rotational symmetry?The rotational symmetry of a shape makes it possible for an object when rotated on its own axis, the shape of the object looks the same.
For a regular polygon with n sides, there would be n number of rotational symmetry,
The Ferris wheel shaped like a regular octagon would have rotational symmetry.
Find out more on rotational symmetry at: https://brainly.com/question/15178808
If the sphere shown above has a radius of 10 units, then what is the approximate volume of the sphere?
A.
400 cubic units
B.
1,666.67 cubic units
C.
666.67 cubic units
D.
1,333.33 cubic units
Answers
The approximate volume of the sphere is 4188.79 cubic units.
Calculating the volume of a sphere.
A sphere is a three-dimensional round object. The volume of a sphere can be calculated by using the formula [tex]\dfrac{4}{3} \pi r^3[/tex].
In the given question, the radius of the sphere is stated to be 10 units. So, the volume of the sphere can be determined by replacing the value of the radius into the equation. i.e.
[tex]V= \dfrac{4}{3}\pi r^3[/tex]
[tex]V= \dfrac{4}{3} \times \pi \times (10)^3[/tex]
V = 4188.79 cubic units.
Therefore, the approximate volume of the sphere is 4188.79 cubic units.
What is the answer to this question?
Answers
Answer: [tex]x\geq6[/tex]
Step-by-step explanation:
g°h indicates that you must plug the function h(x) into the function g(x) as you can see below:
[tex]g\°h=\sqrt{(2x-8)-4}[/tex]
Now you must simplify by adding like terms, as following:
[tex]g\°h=\sqrt{2x-12}[/tex]
By definition you have that:
[tex]2x-12\geq0[/tex]
Theen you must solve for x:
[tex]2x\geq12\\x\geq6[/tex]
Therefore, the domain is:
{[tex]x[/tex] ∈R:[tex]x\geq6[/tex]}
Then the answer is [tex]x\geq6[/tex]
Answer:
Restriction on the domain is x ≥ 6.
Step-by-step explanation:
We have given two functions.
g(x) = √x-4 and h(x) = 2x-8
We have to find the restrictions on the domain of (g o f).
(g o h)(x) = g(h(x))
(g o h)(x) = g(2x-8)
(g o h)(x) = √2x-8-4
(g o h)(x) = √2x-12
Hence, 2x-12 ≥ 0
2x ≥ 12
x ≥ 6
Hence, restriction on the domain is x ≥ 6.
Solve the system graphically:
b
x−y=0
2x+3y=−5
x=
y=
Answers
Answer:
(-1,-1)
Step-by-step explanation:
x=y
2x+3x=-5
x=-1
y=-1
Solve for x.
x = ___
Answers
Answer:
x = 2
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
[tex]\frac{little}{big} =\frac{little}{big}[/tex].
[tex]\frac{36}{36 + 12}=\frac{24}{24 + 6x - 4}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]36(24 + 6x - 4)=(36+12)(24)\\36(6x + 20)=48(24)\\216x + 720 = 1152 \\216x = 432\\\frac{216x}{216}=\frac{432}{216} \\x = 2[/tex]
Solve the equation.
8 (4 - x) = 7x + 2
Answers
Answer:
2
Step-by-step explanation:
8 ( 4 - x ) = 7x + 2
(Expand brackets
32 - 8x = 7x + 2
(-7x from both sides)
-15x = -30
(Divide by -15 from both sides)
x=2
Answer:
x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2
Distribute the 8 on the left side.
32 - 8x = 7x + 2
Subtract 7x from both sides.
32 - 15x = 2
Subtract 32 from both sides.
-15x = -30
Divide both sides by -15.
x = 2
Triangle ABC undergoes a series of transformations to result in triangle DEF .
Is triangle DEF congruent to triangle ABC ?
Select Congruent or Not congruent for each description.
Answers
question 1 is congruent. 2 is not congruent and 3 is congruent
Answer: 1) Congruent
2) Not congruent
3) Congruent
Step-by-step explanation:
We know that a rigid transformations preserves side-lengths and angle measures of a figure in such a way that the figure doesn't shrink or get enlarger. It creates congruent figures.
The three main rigid transformations are:a) reflections, b) rotations, c) translations
On the other hand a dilation changes the size of the image when the scale factor is not equal to 1. It does not produces congruent images.
34) Apply the distributive property to simplify the expression. 5(3x − 7) A) 15x + 35 B) 15x − 35 C) −15x + 35 D) −15x − 35
Answers
Answer:
Answer:
B.
Explanation:
If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.
Step-by-step explanation:
Answer:
B. [tex]15x-35[/tex]
Step-by-step explanation:
We are asked to simplify the expression [tex]5(3x-7)[/tex] using distributive property.
Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:
[tex]a(b+c)=a\cdot b+a\cdot c[/tex]
Using distributive property, we will multiply 5 by [tex]3x[/tex] and [tex]-7[/tex] as:
[tex]5\cdot 3x-5\cdot 7[/tex]
[tex]15x-35[/tex]
Therefore, the simplified form of the given expression would be [tex]15x-35[/tex] and option B is the correct choice.