6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)​

Answers

Answer 1

Answer:

Step-by-step explanation:

3x(5x+8y)=15x^2+24xy

4x(3x^2+5x-7)=12x^3+20x^2-28x

(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2

(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14


Related Questions

6. Does the set of ordered
pairs represent a function?
Explain.
{(0,5), (-2, -1), (0, -5), (3, 20)}

Answers

Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O

Answers

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

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#SPJ7

A math book at the Victor Valley College bookstore originally cost $84 to purchase. If they sell it for $126, what is the markup rate?

Answers

The answer is 150%
Equation: 126/84= 1.5• 100= 150%

Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.

Answers

The description of the intersection of plane A and plane B is line CD

From the question (see attachment for the diagram of both planes), we have the following highlights

Point C is on plane A and plane BPoint D is on plane A and plane B

Both planes meet at the line that joins points C and D.

Hence, the description of the intersection of plane A and plane B is line CD

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Answer:

The first answer, CD, is correct.

Edg, 2023

what is the value of y if x = 4 ​

Answers

Answer:

5aaaaaaaaaaaaaaaaaaaaaaaa

Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?

Answers

The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.

ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTC

Reasons:

The given parameters are;

ΔABC is an isosceles triangle.

[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]

[tex]\overline{AD}[/tex] bisects ∠BAC

Therefore, the proof that ∠ABD  ≅ ∠ACD is given as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)

2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)

3. ∠BAD ≅ ∠CAD (Definition of angle bisector)

4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)

5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)

6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)

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A two-digit number is such that the sum of its digits is 12 and the ones digit is twice its tens digit. Find the number.

Answers

Answer:

48

Step-by-step explanation:

4 plus 8 is 12 and the ones digit is double the tens digit

The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.

Answers

The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.

By factor the polynomial we get the following roots:

[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]

[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]

Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743

Hey can u help me pls.

Answers

Answer:

15 dots

Step-by-step explanation:

formula :: 1/2 x n ( n +1 )

fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot

fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots

......

fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots

Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?

Answers

Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.

Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.

Perimeter of a rectangle = 2(l + w)

Perimeter = 2(12 + 16)

Perimeter = 2(28)

Perimeter = 56 feet.

Learn more about perimeter on:

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Please help again please and thank you :)

Answers

Answer:

B)154

Step-by-step explanation:

98:7=x:11

x=154

Can someone help me solve this question

Answers

Answer:

Step-by-step explanation:

Choosing a white pen from box a

Jason was given a triangle that had a side length of 10m and a hypotenuse of

15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2

.

Part A. Find Jason’s mistake and explain it.


Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.

Answers

Answer:

The pythagorean theorem is:

H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2

Answers

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

The Answer is C.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5

HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!​

Answers

Answer:

So Jennys Jean store charges the higher rate.

Step-by-step explanation:

Jeanys Jean store

Cost/pair = 20/1 = $20 per pair

Jeans warehouse

Cost/pairs = 36/2 = $18 per pair

So Jennys Jean store charges the higher rate.

A baker displays 72 muffins on 8 identical trays.

How many trays does the baker need to display 54 muffins?

Enter your answer in the box.

Answers

Answer=6

Explanation=72 divided by 8=9. 54 divided by 9=6

Plz help ToT I'm horrible at math

Answers

Answer:

24 Square Inches

Step-by-step explanation:

will give brainliest to correct answer !

Answers

lmk if you're looking for point slope form but it's y =  2/5x - 3

amplitude of y=-2sin(3x)+6

Answers

Answer:

amplitude = 2

Step-by-step explanation:

Given sine in standard form

y = asinbx + c

amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift

Given

y = - 2sin(3x) + 6

amplitude = | - 2 | = 2

Solve the quadratic equation given.
6x2 - 24 = 0

Answers

[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Need help please. High school Geometry

Answers

Answer: last one

Step-by-step explanation:

What is the value of the expression

Answers

The answer is B so 1 1/3
Because

5/4 x ( 2/3 x 8/5)
= 5/4 x 16/15
We can cancel 4 and 16
= 5 x 4/15
We can cancel 5 and 15
= 4/3
4/3 is technically 1 1/3

Hope this helps ❤️

Answer:

I think it's B.

Step-by-step explanation:

What is 2a・420 divided by 3z when z=34 and a=56

Answers

461.176470588

Explanation:

2×56=112

112×420=47040

---------------------------------

3×34=102

---------------------------------

47040÷102=461.176470588

Maija is bicycling north on a straight path. She bicycles for
17.
4
kilometers when she realizes she is
thirsty. Maija remembers passing a water fountain
2 kilometers earlier By rounding to the nearest
whole number, estimate the distance from the beginning of Maija's ride to the water fountain

Answers

Answer:

The awnser is 19 Kilometers

Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS

Answers

SSS. the side they share is the same and it tells you the other two sides of both triangles are congruent.

What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2

Answers

Answer:

x = 4

Step-by-step explanation:

Use elimination method.

-----------------

3x + 5y = 10

-(1x + 5y) = -1(2)

-1x -5y = -2

------Simiplify------

2x = 8

x = 4

Can someone please help me with this one? :D ty!

Answers

2,000 Sorry That Was I Know #carryonlearning

6x - 4y = 16 find the slope and y intercept

Answers

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

Examine the function f(x)=log2x.
Which point is the intersection of f(x) and the line y=1?

(1,2)
(12,1)

(2,1)
(1,1)

Answers

Answer:

Is the question worded properly?

I find the intersection of the two lines to be (5,1), which is not an answer option.

Step-by-step explanation:

We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.  

log (10) = 1

Therefore 2x = 1, and x = 5

(5,1)

Factor
x ^ 3 + 2x ^ 2 – 5x - 10 = 0

Answers

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

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