Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.

Answer:

Step-by-step explanation:

A polynomial is a mathematical expression in sum of powers with one or more variables multiplied by coefficients.

a) 3x² - 5x + 7 is a polynomial

b) x² + 2x - 1 is a polynomial

c) 3x² - 5x + 7 - [x² + 2x -1 ]= 3x² - 5x + 7 - x² - 2x + 1

 {add like terms}               = 3x² - x² - 5x - 2x +7  +1

                                          = 2x² - 7x + 8

2x² - 7x + 8  is a polynomial

d) Constant term = 8

                                           =

[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]

so:

x + y = 5

Answer: f(x) = (x + 3)(x – 7)

You welcome.

Answer:

[tex]\mathrm{Center\:\:}= (- 3,17)\\\mathrm{Radius\:\:}= 13[/tex]

Step-by-step explanation:

Remember that the center of the circle would be equidistant from the given points that lie on the circle.

By determining the diameter through the distance of the given points, we can determine the radius by dividing this distance by 2. And by determining the radius we can determine the center of the circle. Let's do it.

[tex]\mathrm{Distance\:between\:}\left(2,\:5\right)\mathrm{\:and\:}\left(-8,\:29\right) = \sqrt{\left(-8-2\right)^2+\left(29-5\right)^2} = 26[/tex]

[tex]\mathrm{Radius\:\:}= 26 / 2 =13[/tex]

So now that we know the radius is 13 units, we can eliminate answer choice(s) # 2 and # 4. That leaves us with the first and third answer choices. The center being (5,12) is not likely, as most of the circle lies in the 2nd quadrant. That is presumably why (- 3,17) is more predictable. Our answer is the third option.

Answer:

D. 4 hundredths

Step-by-step explanation:

Hello!

The second digit after the decimal point is 4 is shown by

0.04

The points after a decimal point go tenths, hundredths, thousandths etc.

The answer is D. 4 hundredths

Hope this helps!

Answer:

4 hundredths

Step-by-step explanation:

For values of decimals one should note that each additional digit after the decimal is a multiple of (1/10).

Using this knowledge, the first digit would be tenths, the second digit hundredths, the third digit thousandths, etc.

Hence a 4 in the second digit after the decimal would be equivalent to 4 * (1/100) = (4/100) or 4 hundredths.

Cheers.

Answer:

-23

Step-by-step explanation:

Let first negative integer = x

The second = x +5

Their product = 126, hence,

x * (x +5) = 126

x^2 + 5x = 126

x^2 + 5x - 126 = 0

Two numbers whose product gives - 126 and sun gives 5

x(x + 14) - 9(x+14) =0

(x - 9) = 0 or (x + 14) = 0

x = 9 or x = - 14

Since x is said to be a negative integer,, the our x = - 14

First integer = - 14

Second integer = (x + 5) = (-14 + 5) = - 9

Sum of both integers :

-14 + - 9 = - 23

Answer:

-23

Step-by-step explanation:

Doing it on EDG right now!

Can confirm that the person above me is correct!

Wish you all luck :)

Answer:

120[tex]m^{3}[/tex]

Step-by-step explanation:

The formula for V (volume) is l*w*h (length*width*height).

You can substitute each part of the formula for the given units.

6m*2m*10m = V

6m*m2 = 12[tex]m^{2}[/tex]

12[tex]m^{2}[/tex]*10m = 120[tex]m^{3}[/tex]

120[tex]m^{3}[/tex] = V

Answer: 1:b subtraction property of equality

2:c multiplication property of equality

3:d division property of equality

4: a addition property of equality

5: d the statement is false.the subtraction property of equality should be used first to remove the constant term before dividing

i took the test.

Answer:

1/49

Step-by-step explanation:

You wrote the problem correctly.  You just needed to multiply instead of add.

1/7*1/7=1/49

So the answer is 1/49.

Answer:

1/49

Step-by-step explanation:

1/7 times 1/7 = 1/49

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

1) solve 9(x-11)=9

[tex]x = 12[/tex]

2) solve 4(3x-2)=52

[tex]x = 5[/tex]

3) solve 44=2(3x-5)

[tex]x = 9[/tex]

4) solve 2x-4/5 = 4

[tex]x = \frac{12}{5}[/tex]

5) solve 3x+2/2 = 13

[tex]x = 4[/tex]

6) solve 4x-5/5 = 3

[tex]x = 1[/tex]

7) solve 10x+4/7 = 8

[tex]x = \frac{26}{35}[/tex]

8) solve 6x-1/2 = 1

[tex]x = \frac{1}{4}[/tex]

( Sorry ! The questions are too much for me to add the explanation )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

see below explanation

Step-by-step explanation:

1.  9 (x - 11) = 9

   9x - (9 * 11) = 9

   9x - 99 = 9

   x = 12

2.  4 (3x - 2) = 52

    (4 * 3x) - (4 * 2) = 52

    12x - 8 = 52

    x = 5

3.  44 = 2 (3x - 5)

    44 = (2 * 3x) - (2 * 5)

    44 = 6x - 10

    x = 9

4.  2x- 4/5 = 4

    2x - 2²/5 = 4

    5(2x) + (-2²)  /  5  = 4

    x = 12 / 5

5.   3x + 2/2 = 13

     3x + 1 = 13

    (3x + 1) + (-1) = 13 + (-1)

    x = 4

6.   4x -5/5 = 3

      4x - 1 = 3

      (4x - 1) + 1 = 3 + 1

      x = 1

7.   10x + 4/7 = 8

     10x + 2²/7  = 8

     7(10x) + 2²  /  7   = 8

     x = 26 / 35

8.    6x - 1/2 = 1

       2(6x) + (-1) / 2 = 1

      ((2 * 6x) - 1 ) / 2 = 1

      x = 1/4

Answer:

40

Step-by-step explanation:

10% = 80 ÷ 10 = 8

50% = 8 x 5 = 40

Hope this helps!

Answer:

40

Explanation:

50% = 80 ÷ 2 = 40

Hope this helps!

Answer:

The answer is 86 feet

Step-by-step explanation:

50+36=86

Hope this helps! （づ￣3￣）づ╭❤～

Answer:

14 feet

Step-by-step explanation:

The question asked was HOW LOW?

So you have to subtract it..

50 - 36=

14 feet.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, where for a ratio compares two numbers with the same unit.

Answer:

so the order will be 5 x 2

Step-by-step explanation:

When we find the transpose of a matrix we change the rows into columns and columns into rows so the order is also reversed.

The order of  B transpose will be reversed i.e. it will 5 x 4.

When we multiply two matrices we check the columns of the first matrix should be equal to the rows of the second matrix and the answer should contain the rows of the first matrix and the columns of the second matrix as the order of the resultant matrix

B^T (5 X 4)  X D ( 4 X 2)

B^TD (5 X 2)

Now ED will be

E (5 x 4) D (4 x 2)

ED ( 5 x 2)

Now adding

B^TD (5 X 2) + ED ( 5 x 2) = (B^T × D) + ED ( 5 x 2)

In addition the order does not change.

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Start by writing the equation out as it is given in the question (in this case, in standard form).

[tex]3x-6y=18[/tex]

Next, subtract [tex]3x[/tex] from both sides.

[tex]3x-3x-6y=18-3x\\-6y=18-3x[/tex]

Switch around the [tex]18[/tex] and the [tex]-3x[/tex].

[tex]-6y=-3x+18[/tex]

Finally, divide the equation by [tex]-6[/tex] to get rid of the [tex]y-variable[/tex] coefficient, which is [tex]-6[/tex].

[tex]\frac{-6y}{6}=\frac{-3x+18}{-6}\\y=\frac{1}{2}x-3[/tex]

As shown in that last step, the equation is slope intercept form is: [tex]y=\frac{1}{2}x-3[/tex]

Answer:

y = 1/2x - 3.

Step-by-step explanation:

3x - 6y = 18

-6y = -3x + 18

Divide through by -6:

y = 1/2x - 3.

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

Answer:

Step-by-step explanation:

[tex] \mathsf{3(4x + 1) - 2(3x - 4)}[/tex]

Distribute 3 through the parentheses

[tex] \mathsf{12x + 3 -2(3x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \mathsf{12x + 3 - 6x + 8}[/tex]

Collect like terms

⇒[tex] \mathsf{6x + 11}[/tex]

Hope I helped!

Best regards!!

Answer:6x+11

Step-by-step explanation:do whats in the parenthesis first and then the answer that you got your going to use the same addition, or multuplication , or subtraction sign . then you will get your final answer/,

Answer:

¼

Step-by-step explanation:

[tex] \frac{3}{4} - \frac{1}{2} \: \\ lcm = 4[/tex]

[tex] \frac{3}{4} - \frac{1}{2} \\ - - \: \: 3 - 2 - - - \\ 4 \\ \frac{3 - 2}{4} [/tex]

[tex] \frac{1}{4} [/tex]

Answer:

a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.

Step-by-step explanation:

for question a, there are 18 girls in the class, this is how i worked it out:

the ratio of boys to girls is 4:3.

there are 24 boys.

24 is 6 times more than 4.

if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.

6x3= 18.

for question b i got 20 boys and 15 girls, this is how i did it.

there are 35 students in total.

4:3= boys to girls.

4+3=7

7 goes into 35 five times.

ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.

answer= 20 boys and 15 girls.

12 oranges is a better deal, this is how i worked it out.

it is 60 for 12 oranges.

it is 48 for 8 oranges.

12x5= 60 , 8x6=48.

you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.

Answer:

I think the answer is d

Step-by-step explanation: you have to divide both sides by 6

please mark as brainliest

Answer:

this is the answer

I think it is right

Answer:

40x + 90y <2400

18x + 30y < 500

Step-by-step explanation:

Lee washes houses. It takes him 40 minutes to wash a one-story home, and he uses 18 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses 30 gallons of water. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his income washing one- and two-story houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem

Let

x=one story houses

y=two story houses

The constraints are the following:

1. Lee works no more than 40 hours each week.

40 hours=40 × 60 minutes

=2400 minutes

2. Lee's truck holds 500 gallons of water.

it takes Lee 40 minutes and 18 gallons of water to wash a one-story house.

it takes Lee 90 minutes and 30 gallons of water to wash a two-story house.

First constraint:

40*x + 90*y < 2400

40x + 90y <2400

Second constraint:

18*x + 30*y < 500

18x + 30y < 500

Answer:

It’s D

Step-by-step explanation:

Answer:

Step-by-step explanation:

If E is 3 and EG is 6, then ...

  G = E ± EG = 3 ± 6

  G = -3 or 9

If E is 3 and EX is 12, then ...

  X = E ± EX = 3 ± 12

  X = -9, or 15

__

If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.

That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.

Answer:

4%

Step-by-step explanation:

Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.

48 increases by 4% o get 50.

Answer:

4 percent

Step-by-step explanation:

hhhhh

Answer:

x = 8 or x = -8

Step-by-step explanation:

Answer:

absolute value will always be positive

the answer is x=8

Answer:

its a.)

Step-by-step explanation:

Answer:

153.93804

Step-by-step explanation:

Area = π[tex]r^2[/tex]

r = [tex]\frac{d}{2}[/tex]

Area = π[tex]*7^2[/tex] = 153.938040026

Answer:

Step-by-step explanation:

This is the answer because you have to use the formula

1. What do you have?

Formula: A = pi*r^2

Parts of Formula:

pi = 3.14

r = d/2

d = diameter = 14

r = radius = 7

2. Make Use of What you have

Make an equation:

pi * r^2

3.14 * 7^2 = A

3. Solve

3.14 * 7^2

= 3.14 * 49

= 153.86

Hope this helped,

Kavitha

Answer:27

Step-by-step explanation:

The numerical length of IJ is 27 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and

HJ = 4x.

The total length of the line will be written as below:-

HJ = HI + IJ

4x = x + 2x + 9

4x = 3x + 9

4x - 3x = 9

x = 9

The length of the segment IJ will be:-

IJ = 2x + 9

IJ = ( 2 x 9 ) + 9

IJ = 18 + 9

IJ = 27

Therefore, the numerical length of IJ is 27 units.

To know more about line segments follow

https://brainly.com/question/2437195

#SPJ2

Answer:

1 liter

Step-by-step explanation:

2.11338 pints = 1 liter

33.814 ounces = 1 liter