Draw a number line of each quadratic inequality
1. x²- x + 2 ≤ 0
2. x² + 7x + 12 ≥ 0
3. x² + 9x + 18 ≤ 0
4. m² - 7m ≤ 10
5. 2x²- 3x - 14 ≤ 0​

Answer:

1 -66

2. 162

3.11/-2

4. 8/-11

5.12/0

6. 0

7. 15/14

8. 2/-5

Step-by-step explanation:

Answer:

x=33.5

Step-by-step explanation:

Answer:

143880000 people have dogs and b.

Step-by-step explanation:

327,000,000 * .44(44 percent) = 143880000

the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.

Answer:

Step-by-step explanation:

3)

327 Million → 100%

x → 44%

100x = 44×327

100x = 14388

x = 14388/100

x = 143.88 Million people

4) D

I hope I've helped you.

Answer:

x= 79°     y= 22°

Step-by-step explanation:

x is the same as 79

79+79= 158

180° in a triangle

180-158= 22°

Answer:

567

Step-by-step explanation:

you gotta keep dreaming multiply the 6 then the 5

Answer:

x = 5

Step-by-step explanation:

Angles in a  triangle = 180°

 (6x + 20) + (7x - 10) + 105 = 180°

 13x + 10 +105 = 180

  13x + 115 = 180

         -115 = -115      

   13x         = 65

    x = 65/13

     x = 5                  

The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.

The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.

Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.

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Answer:

yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?

Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

If two numbers are 10 apart.

As we know,

The square root of 100 is 10

√100 = 10

Let us assume the number 90 which is near the 100

The square root of the number 90 is 9.48 which is near or after rounding:

√90 = 9.5

Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.

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Let's take the missing number as 'x'.

11 less than twice a number = 11 - 2x

17 more than 4 times the number = 17 + 4x

=》 11 - 2x = 17 + 4x

=》 11 - 17 = 4x + 2x

=》 -6 = 6x

=》 -6/6 = x

=》 -1 = x

______

RainbowSalt2222 ☔

Step-by-step explanation:

f(x) = 2x² + 5√(x - 2)

Domain

√(x - 2) ≥ 0

x - 2 ≥ 0

x ≥ 2

x is greater than or equal to 2

Answer: Greater than

Step-by-step explanation:

Step-by-step explanation:

as u can use the rules of numbers u can realize -1+12=12-1=11

Answer:

-

Step-by-step explanation:

-1+12

=12-1

=11

:)

Answer:

(−8,0)

Step-by-step explanation:

The x- intercept is (-8, 0)

A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.

Given:

Equation: y= -1/4 x + 2

Now, for x- intercept take y= 0

So, 0 = 1/4x + 2

1/4x = -2

x= -8

Hence, the x- intecrcept is (-8, 0)

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Answer:

y = x + 40

Step-by-step explanation:

I'm assuming to simplify this.

Use the distribution property first.

y = -4x - 8 · 4x + 32

Combine like terms.

y = x · 8 + 32

Solve.

y = x + 40

Hope this this helps!

Answer:

14)

[tex]{ \rm{(5x - 9) \degree + (2x) \degree = 180 \degree}} \\ { \tt{ \{straight \: line \: angles \}}} \\ { \rm{7x - 9 = 180}} \\ { \rm{7x = 189}} \\ { \boxed{ \mathfrak{answer :{ \rm{ \: \: x = 27}} }}}[/tex]

15)

[tex]{ \rm{63 \degree + (9x + 36) \degree = 180 \degree}} \\ { \rm{9x + 99 = 180}} \\ { \rm{9x = 81}} \\ { \boxed{ \mathfrak{answer : \: \: { \rm{x = 9}}}}}[/tex]

[tex]{ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}[/tex]

Answer:

In 2 hours

Step-by-step explanation:

10/3 8/2

10-6 = 4

6 from 3*2(aka the hours)

8-4 = 4 from 2*2(aka the hours)

you can also set this up like

10-3x=8-2x and solve for it

Answer: At the 2 hour mark.

Step-by-step explanation:

10-3=7. 7-3=4

8-2=6. 6-2=4

y=3x+6.

y=3x-5

I did it with a parallel line

Answer:

There would be 12

Step-by-step explanation:

Answer:

I think this is the answer you are looking for. (See below)

Step-by-step explanation:

From the given graph it is noticed that the line is passing through many points.

The coordinates of three given points are (1,5), (-1,-1), (-1,-7)

If a line passing through two points (x1 ,y1) and (x2, y2) , the slope of the lie is defined by, m= y2 - y1/x2 - x1

The line passing through two points (-1,1) and (1,5). So the slope of the line is, m= 5 - 1 / 1 minus -1

m=4/2

Therefore, the slope of the line is 2.

Pls if this is wrong, let me know in the comments. I'm not really good at this topic in math but I hope it helps you. Sorry if it is wrong. Have a good day. :)

Step-by-step explanation:

work is shown and pictured

Answer:

 B.  36°

Step-by-step explanation:

Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.

Using compound interest, it is found that the correct options are:

1. True.

2. True.

Compound interest:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

Item 1:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]

[tex]A(x) = 10000(1.025)^{2x}[/tex]

Hence option 1 is True.

Item 2:

Then:

[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]

[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]

[tex]A(x) = 10000(1.0125)^{4x}[/tex]

Hence option 2 is also True.

A similar problem is given at https://brainly.com/question/24507395

Alberto has 12 Dimes and 21 Nickels in his pocket.

Dimes value = 0.10$

Nickels value = 0.05$

Let d = number of dimes = 0.10d

Let d+9 = number of nickels = 0.05(d + 9)

Value of the Dimes + Value of the Nickels = total value of the coins

Write the equation:

0.10d + 0.05(d + 9) = 2.25

Distribute:

0.10d + 0.05d + 0.45 = 2.25

0.15d + 0.45 = 2.25

Subtract 0.45 from each side:

0.15d = 1.80

Divide to find the number of dimes.

d = 12

The number of nickels is d +9 = 12 + 9 = 21

Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.

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_________

[tex] \: [/tex]

[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]

[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]

[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]

[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]

[tex] = \frac{49}{16} [/tex]

[tex] = 49 : 16[/tex]

Answer:

U= 10 or 11 T=-4 or-3

Step-by-step explanation:

solved using substitution not sure what the formula method is

U+T=7

UT=12

U=12/t

12/t+t=7

12/t=7-t

12=7t-t^2

t^2+7t+12=0

(t+4)(t+3)

t=-4, -3

u-4=7

u=11

u-3=7

u=10

Answer:

2 apples

Step-by-step explanation:

he should be more careful next time :)

Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:

m= (y₂ - y₁)÷(x₂ - x₁)

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:

2y=2 - 10x

y= (-10x +2)÷ 2

y= -10/2x +2/2

y= -5x +1

The line has a slope of  -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:

-5× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-5)

slope perpendicular line= 1/5

The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:

Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.

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Answer:

7/20

Step-by-step explanation:

1/2 divided by 1 3/7

Keep Change Flip

1 3/7=10/7

1/2 x 7/10 = 7/20

Answer:

They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!

Have a great day!

Brainliest please :)

Answer:

-2x = 4

Step-by-step explanation:

You have 2 negative x tiles on the left side, which is -2x.

You have 4 one tiles on the right side, which is 4.

Hope this helps!