Which Of The Following Are Solutions To The Equation Below?Check All That Apply.x2 + 4x-9 = 5x + 3A. (2024)

Mathematics High School

Answers

Answer 1

Answer:

The answers are options A and E

x² + 4x-9 = 5x + 3

Group like terms

x² + 4x - 5x - 9 - 3 = 0

x² - x - 12 = 0

Using factorization method

(x + 3)( x - 4) = 0

x = - 3 x = 4

Hope this helps

Related Questions

Hadley tried to evaluate 5\times4{,}0005×4,0005, times, 4, comma, 000 step by step. \phantom{=}\greenD5\times\blueD{4{,}000}=5×4,000empty space, start color greenD, 5, end color greenD, times, start color blueD, 4, comma, 000, end color blueD {\text{Step } 1}Step 1S, t, e, p, space, 1 =\greenD5 \times \blueD{4} \times \blueD{1{,}000} =5×4×1,000equals, start color greenD, 5, end color greenD, times, start color blueD, 4, end color blueD, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 2}Step 2S, t, e, p, space, 2 = 20\times \blueD{1{,}000} =20×1,000equals, 20, times, start color blueD, 1, comma, 000, end color blueD {\text{Step } 3}Step 3S, t, e, p, space, 3 =20{,}000=20,000equals, 20, comma, 000 Find Hadley's mistake.

Answers

Answer:

Hardley didn't make any mistake

Step-by-step explanation:

Given

Step 1: 5×4×1,000

Step 2: 20 * 1,000

Step 3: 20,000

Required

Find Hadley's mistake.

From the highlighted steps above, it is evident that Hardley did not make any mistake when evaluating the given expression.

At step 1, he expanded 4,000 to 4 * 1,000

Step 1:

5×4×1,000

At step 2, he multiplied 5 by 4 which gives 20

Step 2

20 * 1,000

At the last step, which is step 3, he multiplied 20 by 1,000 which gives 20,000 and this is the result of the given expression 5 * 4,000

Step 3

20,000

ABCD is a parallelogram. m∠x = ° m∠y = ° m∠z = °

Answers

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Answer:

m∠x = 63

m∠y = 45

m∠z = 72

Step-by-step explanation:

plato

Work out the mean for the data set below: 806, 809

ill give you brainest

Answers

Answer:

The mean of the following set of data would be 807.5

Step-by-step explanation:

mean: 806 + 809 = 1,615 ÷ 2 = 807.5

Basically, you just have to add the two numbers in the set of data or the listed numbers...

Then you have to divide it with the total amount of numbers there are in the set of data. In this problem it would be 2 since there are only 2 numbers in the set of data.

Step-by-step explanation:

mean is total÷no.

806+809=1615, the total, the no. is 2

1615÷2=807.5

The simplest way

Solve the equation below for x. cx-4=7

Answers

Answer:

[tex]x = \frac{11}{c}[/tex] (x = 11/c)

Step-by-step explanation:

cx - 4 = 7

cx = 7 + 4

cx = 11

[tex]x = \frac{11}{c}[/tex] (x = 11/c)

Hope this helps! :)

Answer:

x=11/c

Step-by-step explanation:

In order to solve for x, we must get x by itself.

cx-4=7

4 is being subtracted from cx. The inverse of subtraction is addition. Add 4 to both sides of the equation.

cx-4+4= 7+4

cx= 7+4

cx= 11

x is being multiplied by c. The inverse of multiplication is division. Divide both sides of the equation by c.

cx/c=11/c

x= 11/c

The equation cx-4=7 solved for x is: x= 11/c

I really need HELP PLEASE

Answers

Answer:

A. I and II, only

Step-by-step explanation:

y = x

Switch variables.

x = y

y = 1/x

Switch variables.

x = 1/y

1/x = y

y = x²

Switch variables.

x = y²

±√x = y

y = x³

Switch variables.

x = y³

∛x = y

Please answer this question now in two minutes

Answers

Answer:

NMP and QPR

Step-by-step explanation:

NMP and QPR

this pair is the only pair of corresponding angles in this picture

Kristin Wilson lives in Spartanburg​, South​ Carolina, and wishes to visit relatives in the following South Carolina​ cities: Sumter comma Columbia comma Charleston commanbspand Greenville. In how many ways can she visit each of these cities and return to her home in Spartanburg question mark

Answers

Answer:

The correct answer is - 24 ways.

Step-by-step explanation:

Kristin Wilson lives in Spartanburg​, South​ Carolina and she wants to visit four cities Sumter, Columbia, Charleston, and Greenville. So there are total of 5 cities we have as she returns to her home back in the end, so the total ways are-

= (5-1)!

= 4x3x2x1

= 24 ways

Thus, the correct answer is - 24 ways

Expand and then and then collect the following expression 3(a+2)+6(a+3)

Answers

Answer:

9a + 27

Step-by-step explanation:

=> 3(a+3) + 6(a+3)

Expand the brackets

=> 3a+9 + 6a+18

Combining like terms

=> 3a+6a+9+18

=> 9a + 27

Answer:

9a+24

Step-by-step explanation:

3a+6+6a+18

Simplify:

9a+24

PLEASE HELP!!

triangle abc underwent a sequence of rigid transformations to give triangle a’b’c’. which transformations might have taken place

Answers

Answer:translation and reflection

Step-by-step explanation:

Answer:

Rotation

Step-by-step explanation:

This is because triangle ABC was rotated 180 degrees using the chinese 'z' formula.

2(4 – 16) – (–30) 2(–12) – (–30) 24 – (–30) 54

Answers

Step-by-step explanation:

2(4 – 16) – (–30) 2(–12) – (–30) 24 – (–30) 54= 2×4-2×16 -×-30×2×-12-×-30×24-×-30= 8-32+30-24+30×24+30: 732

Answer:

2(4 - 16) - (-30) 2(-12) - (-30) 24 - (-30) 54

Solve the ones in the bracket first

Thus

2(-12) - 720 + 720 + 1620

= -24 + 1620

= 1596

Hope this helps

HELLLP
A. 3y + 2x = -6
B. y = 4x - 2
C. y + 2 = (x + 5)
D. 10y + 8x = -20​

Answers

Answer:

I think it has B option

Step-by-step explanation:

the graph shows that line pass through positive x-axis and negative y-axis so the answer of y is -tive and x is positive

if x=0

y=-2

if y =0

x=2/4=1/2

Expand and then collect the following expression 5(2b+1)+6(3b+2)

Answers

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

Which equation represents “the product of a number and 24 is 72”? 24 p = 72 24 = 72 p (24) (72) = p StartFraction p Over 24 EndFraction = 72

Answers

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

what are the roots of the polynomial equation x⁴+x³=4x²+4x? use the graphing calculator and a system of equations.
-2,-1,0,2
-2,0,1,2
-1,0
0,1​

Answers

Answer: A

Step-by-step explanation:

PLZZZZZZ HLPPPPPPP MEEEEEEEE

Answers

Answer:

C. (x+4)(2x+3)

Step-by-step explanation:

We need to find the expression that represents the area of the rectangle.

The length of the rectangle is x + x + 1 + 1 + 1, that is, 2x + 3.

The width of the rectangle is x + 1 + 1 + 1 + 1, that is, x + 4.

So, if the area of the rectangle is the product of length and width, we have:

[tex]Area = length * width = (2x+3)(x+4)[/tex]

So the answer is C.

Which of the following lists of ordered pairs is a function?
A. (1,1),(2, 2), (3, 1), (3, 2)
B. (-2, 3), (2, 4), (-3,6), (3,7)
C. (0,3), (-1,4),(1,6), (-1,7)
D. (2,5), (3,-4), (4,7), (2, 2)

Answers

Answer:

B.

Step-by-step explanation:

This list of ordered pair is a function because to be a function, you can not have a repeating x-value. In the other options, they consist of a repeating x-value.

A. Repeating 3

C. Repeating -1

D. Repeating 2

Hence,

the correct option is B.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The answer is B
I already did it at school.

Simplify 2(x - 3) + 7(x + 2)

Answers

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

28. Two similar triangles have perimeters in the ratio 3:5.
The sides of the smaller triangle measure 3 cm, 5 cm,
and 7 cm, respectively. What is the perimeter, in
centimeters, of the larger triangle?

Answers

Answer:

25cm

Step-by-step explanation:

first find the perimeter of the dmaller triangle. perimeter=add all sides

3+5+7=15cm

15cm=⅜

? = ⅝ (cross multiply)

15cm×⅝×8/3=25cm

perimeter of the larger triangle is 25cm

Which of the following sets of numbers have the same mean, median, and mode?
10, 6, 4, 2, 8
3, 5, 8, 4, 5
5, 1, 2, 2,5
2.6, 8, 6, 3​

Answers

first and last— they are the only two with the same median

Answer:

3, 5, 8, 4, 5

Step-by-step explanation:

Help urgently pleaseee I need it now

Answers

Answer:

4:

[tex]3x + 6y = 12 \\ 6y = - 3x + 12 \\ y = - 0.5y + 2 \\ m = - 0.5 \\ b = 2[/tex]

5 :

NR:

N=(-2,3)

-2×-0.5+2=1+2=3✓

R=(2,1)

2×-0.5+2=1✓

find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.

Answers

Answer:

gradient = 9

Step-by-step explanation:

Note that [tex]\frac{dy}{dx}[/tex] is a measure of the gradient.

Differentiate y using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]

Given

y = x² + 5x - 3, then

[tex]\frac{dy}{dx}[/tex] = 2x + 5

x = 2 : [tex]\frac{dy}{dx}[/tex] = 2(2) + 5 = 4 + 5 = 9 ← gradient

y=8x-4 find y and x intercept

Answers

Answer:

The x intercept is 1/2The y intercept is - 4

Step-by-step explanation:

y = 8x - 4

First to find the y intercept let x = 0

Substitute the value of x into the equation

That's

y = 8(0) - 4

y = - 4

The y intercept is - 4

To find the x intercept let y = 0

Substitute the value of y into the equation

that's

8x - 4 = 0

8x = 4

Divide both sides by 8

x = 1/2

The x intercept is 1/2

Hope this helps you

A box has a volume of 5m³. The box will be enlarged by a scale factor of 2. What will the volume of the new box be?

Answers

Answer:

40m³

Step-by-step explanation:

[tex]\sqrt[3]{5}[/tex] = 1.709975947

1.709975947 × 2 = 3.419951893

3.419951893³ = 40

Answer:

volume of the box multiply scale factor

=5 × 2

=10m

Stefan makes a cuboid that is 5 cm longer, 5 cm taller and 5 cm wider than Amina's cuboid. What is the difference between the number of cubes in Amina's and Stefan's cuboids? animas cuboid is 4x6x3

Answers

Answer: Stephan's cuboid has 90 cubes more than that of Amina

Step-by-step explanation: As stated in the question, Amina's cuboid has dimensions given as 4 cm by 6 cm by 3 cm. That means Amina's cuboid has a total volume of

Volume = L x W x H

Volume = 4 x 6 x 3

Volume = 72 cm³

A cube by standard has the length, width and height all measuring the same. This means, the in a cuboid with a volume of 72 cubic centimetres, you can find a cube with each side measuring 2 centimetres as follows;

Volume of cube = 2 x 2 x 2

Volume of cube = 8 cm³

Therefore,

Number of cubes = Volume of cuboid / Volume of cube

Number of cubes = 72/8

Number of cubes = 9

However, Stephan's cuboid now has each side measuring 5 centimetres more than each side of Amina's cuboid, hence Stephan's cuboid has the following dimensions,

L = 9 (4 + 5)

W = 11 ( 6 + 5)

H = 8 (3 + 5)

The volume of Stephan's cuboid therefore is derived as,

Volume = L x W x H

Volume = 9 x 11 x 8

Volume = 792 cm³

The number of cubes (with each side measuring 2 cm) in Stephan's cuboid is now derived as;

Number of cubes = Volume of cuboid / Volume of cube

Number of cubes = 792/8

Number of cubes = 99

From the results derived above, Stephan's cuboid has 99 cubes while Amina's cuboid has 9 cubes. The difference between both is 90 cubes.

The one gives the answer will be marked as the brainliest.......
The size of the angle marked D in the diagram is. ​

Answers

Answer:

40

Step-by-step explanation:

The angles are around a point

We know that the sum of angles around a point add p to 360 degrees

Also, opposite angles are equal, which makes the angle opposite to 160 also 160.

Thus D = 360-(160+160) = 360-320 = 40 degrees

Hope this helps

Answer:40°

Step-by-step explanation: since, 180° is a straight line, the distance between 180 and 160 is 20… and the angle covers one 20 and another 20 as you can see. One to the top of the straight line and one to the down. So by adding both 20 we get 40°.

a submarine is positioned 1300 m below sea level. if it ascends 450 m, what is its new position?​

Answers

Answer:

-850 m

Step-by-step explanation:

New position = - 1300 +450 = - 850 m

Answer:

- 850 m

Step-by-step explanation:

a submarine is positioned 1300 m below sea level => - 1300 m

it ascends 450 m =>

- 1300 m + 450 m =

= - (1300 - 450)

= - 850 m

find the sum of the interior angles of a polygon with 10 sides ​

Answers

Answer:

1440

Step-by-step explanation:

Your formula to find how many degrees in a polygon: 180(n - 2)

So simply plug in 10 as n:

180(10 - 2)

180(8)

1440

Answer:

1440°

Step-by-step explanation:

Use the formula for the sum of the interior angles in a polygon.

(n - 2) 180

n is the number of sides.

(10 - 2) 180

(8)180

= 1440

How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there

Answers

Answer:

So we must create 4-digit numbers with the 5 odd digits in the image.

First, a number is only divisible by 5 if the last digit is 0 or 5, and we only can use the last digit equal to 5 (because 0 is not in the image).

if each odd number can be used only once, we have:

Now, for the other 3 digits we have 4 options.

So for the first one we have 4 options,

for the second we have 3 options (because one is already taken)

for the last one we have only 2 options

then the number of combinations is:

C = 4*3*2 = 24.

If the numbers can be repeated (for example, 5555 is allowed, then)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third we also have 5 options, then we have a total of:

C = 5*5*5 = 25*5 = 125 combinations.

Nancy picked 3/24 of a bucket of oranges and Dan 4/5picked of a bucket of
ranges. How many more buckets did Dan pick?

Answers

Answer:

0.675 buckets

Step-by-step explanation:

4/5 is 0.8, and 3/24(1/8) is 0.125.

0.8 - 0.125 is 0.675, so It is 0.675 buckets.

A piecewise function g(x) is represented by the graph.
Which functions represent a piece of the function? Select
three options.
7
6
g(x) = -2x, -2<x<0
on
g(x) = -2, x<-2
4
3
g(x) = x - 2, -2<x< 1
2
g(x) = -2x + 6, x> 1
-7 -6 -5 4 -3 -2 -11
1
2 3
4
5
B 7 X
g(x) = { +
+ 1, -2<x<1
4​

Answers

Answer:

2, 4, 5

Step-by-step explanation:

The correct options are:

Option 2 g(x) = -2 for x < -2

Option 5 g(x) = (x/2) + 1 for -2 < x < 1

Option 4 g(x) = -2x + 6 for x ≥ 1

What is a Graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

As per the given diagram:

Consider the range x < -2

It is clear from the diagram that y = -2

Hence, g(x) = -2 for x < -2 is correct.

Consider the range -2 < x < 1.

To find the equation of the line, let's find 2 points.

From the diagram, we can see the line passes through:

(-2, 0) and (0, 1)

slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{1-0}{0-(-2)}[/tex]

m = [tex]\frac12[/tex]

using slope intercept form of line y = mx + c:

y = (x/2) + c

Putting (0, 1) in the line equation we get c = 1

y = (x/2) + 1

Hence, g(x) = (x/2) + 1 for -2 < x < 1 is correct.

Consider the range x ≥ 1.

From the options g(x) = -2x + 6

From the diagram, the line should pass from (1, 4) and (3, 0).

y = -2x + 6

4 = -2(1) + 6

4 = 4

also (3, 0) satisfies the equation.

Hence, g(x) = -2x + 6 for x ≥ 1 is correct.

g(x) = -2 for x < -2 is correct.

g(x) = (x/2) + 1 for -2 < x < 1 is correct.

g(x) = -2x + 6 for x ≥ 1 is correct.

To learn more on Graphs, click:

https://brainly.com/question/17267403

#SPJ7

Which Of The Following Are Solutions To The Equation Below?Check All That Apply.x2 + 4x-9 = 5x + 3A. (2024)
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