Solve the inequality and graph the solution.
5w–8≥2

please send steps on how to do it at a graph

Answer:

[tex]y=8x-781[/tex]

Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

Step-by-step explanation:

Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.

Take [tex](x_1,y_1)=(106,67)[/tex]

At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.

Take [tex](x_2,y_2)=(108,83)[/tex]

Slope intercept form:

[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]

[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]

Your slope is

negative 11 over 3 !!!

Or approximately 3.67 (rounded)

Step-by-step explanation:

Answer:

Commission is $45.00

Weekly salary was $150.00 + $45.00

She earned $195.00 for her paycheck

Step-by-step explanation:

9514 1404 393

9514 1404 393

Answer:

  1) (1 1/2)(7/5) = g

  2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

  g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

__

2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

  (5/7)g = 1 1/2

  g = (1 1/2)/(5/7) . . . . division expression for the paint needed

Answer:

x = 11 units

Step-by-step explanation:

Area of triangle = (base + base 2) * h *1/2

so (7 + x )* 7 * 1/2 = 63

63 x 2 = 126

126 / 7 = 18

18-7 = x

x = 11

Check

(7+11)* 7 * 1/2

18* 7 = 126

126 x 0.5 = 63

CORRECT!

(p.s., tell me if wrong :P)

Answer:

i think 220

Step-by-step explanation:

because if he swim 250 then 30 less it would be 220

Answer:

3,266.53

Step-by-step explanation:

Answer:

I think B is right answer

Answer:

the answer is false because congruent mean 3 equal sides

Answer:

In order, 35/40, 36/40, <

Step-by-step explanation:

Answer:

La persona está a 5 kilómetros con respecto al punto de partida.

Step-by-step explanation:

Considérese que la dirección norte coincide con el semieje +y y que la dirección este coincide con el semieje +x. A continuación, obtenemos las formas vectoriales equivalentes de cada afirmación:

(i) Una persona camina 7 kilómetros hacia el norte:

[tex]\vec r_{1} = 7\,\hat{j}\,[km][/tex]

(ii) Después 3 kilómetros hacia el este:

[tex]\vec r_{2} = 3\,\hat{i}\,[km][/tex]

(iii) Y luego, 3 kilómetros hacia el sur:

[tex]\vec r_{3} = -3\,\hat{j}\,[km][/tex]

El vector resultante de desplazamiento se construye a partir de la siguiente suma de vectores:

[tex]\vec R = \vec r_{1}+\vec r_{2} + \vec r_{3}[/tex] (1)

[tex]\vec R = 3\,\hat{i} + 4\,\hat{j}\,[km][/tex]

Asumiendo que la distancia coincide con el desplazamiento resultante, calculamos la distancia con respecto al punto de partida mediante el Teorema de Pitágoras:

[tex]\|\vec R\| = \sqrt{3^{2}+4^{2}}[/tex]

[tex]\|\vec R\| = 5\,km[/tex]

La persona está a 5 kilómetros con respecto al punto de partida.

The denominator of the first term is a difference of squares, such that

4a ² - b ² = (2a)² - b ² = (2a - b) (2a + b)

So you can write the fractions as

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)/(2a + b)

Multiply through the second fraction by 2a - b to get a common denominator:

(4a ² + b ²)/((2a - b) (2a + b)) - (2a - b)²/((2a + b) (2a - b))

((4a ² + b ²) - (2a - b)²) / ((2a - b) (2a + b))

Expand the numerator:

(4a ² + b ²) - (2a - b)²

(4a ² + b ²) - (4a ² - 4ab + b ²)

4ab

So the original expression reduces to

4ab / ((2a - b) (2a + b))

or

4ab / (4a ² - b ²)

upon condensing the denominator again.

Answer:

330 people per square mile

Step-by-step explanation:

Here, we want to find the population density of the town

To find this, we have to divide the population by the area

That will be ;

14,850/ 45 = =330 people per square mile

9514 1404 393

Answer:

  x ≈ 136.7 ft

Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

  Cos = Adjacent/Hypotenuse

For this triangle, that means ...

  cos(43°) = (100 ft)/x

  x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)

  x ≈ 136.73 ft

The length x is about 136.7 feet.

Answer:

c and d

Step-by-step explanation:

Answer:

3×81^x=9^{x+4}

since power of no is multiplied to its remaining power

3×3^4x=3^2{x+4}

if there is like terms then power is added

3^{1+4x}=3^{2x+8}

if there is like terms then power can be compared

so{1+4x}={2x+8}

1+4x=2x+8

4x-2x=8-1

2x=7

x=7/2 is your answer

Answer:

77 5/8

Step-by-step explanation:

a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4

= 24/4

b) Add the answer from the previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 4.

Conversion a decimal number to a fraction: -11.5 = -115/10

= -23/2

a) Write down the decimal -11.5 divided by 1: -11.5 = -11.5/1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-11.5/1

= -115/10

c) Simplify and reduce the fraction

-115/10

= -23 * 5/2*5

= -23 * 5/2*5

= -23/2

Multiple: 27/4

* (-11.5) = 27 · (-23)/4 times5

= -621/8

Step-by-step explanation:

Elsa 40÷6= 6.666, or 6 2/3 bushels per hour

Kim 40÷10= 4 bushels per hour.

together, they pick 10.66 bushels per hour, so 40÷ 10.66= 3.75 hours, or 3 hours, 45 minutes

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

Learn more about angle subtended at the center of circle theorem here:

https://brainly.com/question/2506683

#SPJ2

The answer is 3x - 1

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

The answer is number C

:)

Answer:

d. x^5(x^2 - 1)

Step-by-step explanation:

x^7 - x^5

Factor out x^5

x^5(x^2−1)

Consider x^2−1. Rewrite x^2−1 as x^2−1^2. The difference of squares can be factored using the rule: a^2 - b^2 =(a−b)(a+b).

(x−1)(x+1)

Rewrite the complete factored expression.

x^5(x−1)(x+1)

Simplify.

(x^2 - 1)x^5

Swap terms to the left side.

x^5(x^2 - 1)

Answer: D. [tex]x^{5} (x^{2} -1)[/tex]

Step-by-step explanation:  

x^5 (x^2-1)

x^5 (x^2-1^2)

x^5 (x+1)(x-1)  

Answer:

Part A: a) Corresponding angles

Part B: b) 12x - 10 = 10x + 8

Part C: x = 9

m<1 = 98

m<2 = 82

Explanation:

B)

Since they're corresponding angles, they're equal to each other:

12x - 10 = 10x + 8

C)

12x - 10 = 10x + 8

2x = 18

x = 9

m<1:

12(9) - 10 = 98

m<2:

98 + y = 180

y = 82

9514 1404 393

Answer:

  A. a

  B. b

  C. 9, 98, 82

Step-by-step explanation:

See attached.

"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.

From ...

  12x -10 = 10x +8

  2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation

  x = 9 . . . . . . . divide by 2

Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.

Answer:

$4 off

New price is $36

Step-by-step explanation:

Answer:

$4 discount.

$36 new price.

Step-by-step explanation:

40 x .10= 4

40- 4= 36

Answer:

Step-by-step explanation:

(+5) + (+2) = +7

If both numbers have same sign, add and the result will have the common sign

v) (-5) + (-2) = (-7)

Both numbers have 'negative sign'. So, add and the result will have the 'negative sign'

Viii) (+6) + (-3) = +3

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '6' and its sign is 'positive'. so, the result will have positive sign

xi) (-4) + (+8) = +4

Both numbers have different sign. So, subtract and the result will have the sign of the bigger number. Here the bigger number is '8' and its sign is 'positive'. so, the result will have positive sign

Answer:

Figuring out the amount of money needed to pay for a product at the store.

Step-by-step explanation:

Answer:Quadrilaterals

Step-by-step explanation:A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.