the given number line shows the solutions to which inequality
A)x + 4 ≥ 5

B)x – 2 > 7

C)x – 3 ≥ 6

D)x – 1 ≥ 8
—————————-

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Answer:

Step-by-step explanation:

Given:

Solving in steps:

[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]

[tex]\\ \sf\longmapsto 3q+13=-14[/tex]

[tex]\\ \sf\longmapsto 3q=-14-13[/tex]

[tex]\\ \sf\longmapsto 3q=-27[/tex]

[tex]\\ \sf\longmapsto q=-9[/tex]

Answer:

x = 111.8°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees. Let x be the supplementary angle:

[tex]68.2+x=180\\x=111.8[/tex]

Answer:

1. distance and time are the variables. 2. the variables are related by the speed of the car

Answer:

yep its D

Step-by-step explanation:

Answer:

D     Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Answer:

([tex]6 - \sqrt{31}[/tex], [tex]6 + \sqrt{31}[/tex])

Step-by-step explanation:

[tex]x^{2}-12x+5 < 0[/tex]

To solve this inequality, we can start by completing the square.  To do this, we divide the x coefficient (-12) by 2 and then square it.  We then add the result to the left side of the equation.  To ensure the inequality remains true, we also subtract it.

[tex]x^{2}-12x+(-6^{2})-(-6^{2}) + 5 < 0\\x^{2}-12x+36-36 + 5 < 0\\[/tex]

We can then express the first trinomial as a perfect square.

[tex](x-6)^{2} - 31 < 0[/tex]

Add 31 to both sides:

[tex](x-6)^{2}< 31[/tex]

Then take the square root of both sides:

[tex]x-6<[/tex] ± [tex]\sqrt{31}[/tex]

Finally, add 6 to both sides:

x < 6 + [tex]\sqrt{31}[/tex]

x > 6 - [tex]\sqrt{31}[/tex]

The solution to the inequality in interval notation is shown by option A

An inequality in mathematics describes how two expressions relate to one another by indicating whether one expression is greater, smaller, equal to, or not equal to the other.  Inequalities are denoted by symbols.

We have to use the quadratic formula that states that;

x < (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

So we have that;

x < [12 ± √([tex](-12)^2[/tex] - 4 * 1 * 5)] / 2 * 1

Thus we would obtain in the end;

6 - √31 < x < 6 + √31

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Given :

f(x) = 3x-7 , when x>0

and f(x) = -2x+3 x<0

as 6 is greater than 0, we get that :

f(6) = 3(6)-7

=> f(6) = 18-7

=> f(6) = 11

hence, option a) is correct

The value of f(6) is 11 using the equation f(x)= 3x-7.

To find the value of f(6), we need to determine which condition applies to x = 6. Since x = 6 is greater than 0, we will use the equation f(x) = 3x - 7.

Substituting x = 6 into the equation:

f(6) = 3(6) - 7

f(6) = 18 - 7

f(6) = 11

Therefore, the value of f(6) is 11.

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Answer:

11

Step-by-step explanation:

Substitute [tex]x=2:[/tex]

[tex]y=x^3+3[/tex]

[tex]y=2^3+3\\ =8+3\\ =11[/tex]

Answer:

x=100 degree's

Step-by-step explanation:

Its 100 degrees because you add 80 and 20 degrees and because I think they might be called congruent angles.

Answer:

pretty sure it's just 100, just add 80 and 20, angles are opposite of each other.

Answer:

C

Step-by-step explanation:

For example, if a is equal to 2.

[tex] \sqrt{2} {}^{2} = 2[/tex]

The answer is still the given number a.

The solution of the expression √a² is,

⇒ a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √a²

Where, 'a' is nonnegative real number.

Now, We can simplify as;

⇒ √a²

⇒ √ a × a

⇒ a

Thus,  The solution of the expression √a² is,

⇒ a

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Answer:-2.4f + 0.4f -15-3Step-by-step explanation:

Answer:

-1.8f - 19

Step-by-step explanation:

Answer:

2n + 9

Step-by-step explanation:

3n - n + 4 + 5 = 2n + 9

Answer:

  94.1 °F

Step-by-step explanation:

The formula is ...

  F = 9/5C +32

Using 34.5 for C, we get ...

  F = 9/5(34.5) +32 = 62.1 +32 = 94.1

34.5 °C = 94.1 °F

Answer:

320,000

Step-by-step explanation:

80,000$x 4 years == 320,000$

Answer:

11 and 6

Step-by-step explanation:

Let the numbers be X and Y

Then their sum: X+Y=17 equation 1

Product: X×Y=66 equation 2

X+Y=17. X =17-Y

XY=66.

(17-Y)Y=66 -Y²+17Y-66=0

Y=6 or 11

X=17-Y. X=17–6=11 or X=17–11=6

Therefore you can conclude that the numbers are 11&6

Answer:

11 and 6

Step-by-step explanation:

x + y = 17

x × y = 66

First, solve for y

x + y = 17

x + y - x = 17 - x

y = 17 - x

Then substitute y to x × y = 66

x × y = 66

x(17 - x) = 66

17x - [tex]x^{2}[/tex] - 66 = 66 - 66

- [tex]x^{2}[/tex] + 17x - 66 = 0

(- [tex]x^{2}[/tex] + 17x - 66) = 0

(-x + 6)(x - 11) = 0

-x + 6 = 0

-x + x +6 = 0 + x

6 = x or x = 6

x - 11 = 0

x - 11 +11 = 0 + 11

x = 11

Then the numbers are 11 and 6

Answer:

The answer is 31

Explanation:

25 - (-6) = 31

we have 25 - (-6) = 25 + 6 = 31

so the answer is D

ok done. thank to me :>

Check the picture below.

[tex]\textit{area of a triangle}\\ A = \cfrac{1}{2}bh~~ \begin{cases} A = area\\ b = base\\ h = height\\[-0.5em] \hrulefill\\ A = 7\\ h = 2b - 3 \end{cases}\implies 7 = \cfrac{1}{2}b(2b-3)\implies 7=\cfrac{b(2b-3)}{2} \\\\\\ 14 = b(2b-3)\implies 14 = 2b^2-3b\implies 0 = 2b^2-3b-14[/tex]

[tex]0 = (b+2)(2b-7)\implies\blacktriangleright b= \begin{cases} -2\\ \frac{7}{2}~~\textit{\large \checkmark} \end{cases}\blacktriangleleft \\\\\\ \stackrel{\textit{we know that}}{h = 2b - 3}\implies h = 2\left( \frac{7}{2} \right)-3\implies h = 7 - 3\implies \blacktriangleright h = 4 \blacktriangleleft[/tex]

Answer:

Ren has 755.4

Jaffray has 1,133.1

Abel has 1,510.8

Answer: 19/40 gallons

Step-by-step explanation:

She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.

24/40 - 5/40 = 19/40 gallons

:0 hope it helps

Answer:

A  expresses the ASSOCIATIVE PROPERTY OF ADDITION.

Step-by-step explanation:

Answer:

In order to multiply rational expressions:

Step 1: Completely factor all numerators and denominators.

Step 2: Reduce all common factors.

Step 3: Either multiply the denominators and numerators or leave the answer in factored form.

Here is an example:

Answer: 1060

Step-by-step explanation:

Step-by-step explanation:

The domain is set of x-values:

The range is set of y-values:

Answer:

t+4 / t-4

Step-by-step explanation:

(t^2 - 16) / (t^2 -8t +16)

=( t^2 - 4^2) / (t^2 - 2*4*t + 4^2)

by formula a^2 - b^2 = (a+b)(a-b)

= (t+4)(t-4)  / (t-4)^2

= (t+4)(t-4)  / (t-4)(t-4)

= t+4 / t-4

Answer:

numbers are 24 and 210

Step-by-step explanation:

the number are : 24(2x2x2x3) and 210 (3x2x5x7)

GCF of 24 and 210 is 6

LCM of 24 and 210 is 840

9514 1404 393

Answer:

  a. numbers: 24, 210

  b. GCF = 6

  c. LCM = 840

Step-by-step explanation:

The number each circle represents is the product of the factors in that circle:

  red circle: 2×2×2×3 = 24

  blue circle: 2×3×5×7 = 210

The numbers represented in the diagram are 24 and 210.

__

The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:

  GCF = 2×3 = 6

__

The LCM is the product of all of the factors shown in the diagram:

  LCM = 2×2×2×3×5×7 = 840

_____

Additional comment

I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.

This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)

Answer: Yes

Step-by-step explanation: They are similar because it the same kind of triangle just ones smaller and the other is bigger.

Answer:

7x2 + 14x = 0

x2 + 3x -5 = 0

x2 - x = 3x + 7  

Step-by-step explanation:

A quadratic equation has the highest power of x to the second power.  It must have x to the second power

7x2 + 14x = 0  quadratic

x3 - 3x2 + 1 = 0   not quadratic  but cubic

5x - 7 = 0  not quadratic  but linear

x2 + 3x -5 = 0   quadratic

x - 5 = 9x + 7  not quadratic but linear

x2 - x = 3x + 7  quadratic

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Answer:

If in you little HMH thing it is 4044.8