Solve the inequality. Then graph the solutions on a number line. 20 > - 4(2x - 7)

Answer:

a)  (6, 6)  and  (7, 4)

b)  [tex]t(n)=-2n+18[/tex]

c)  see attached

Step-by-step explanation:

From inspection of the table, we can see that as n increases by 2, t(n) decreases by 4.  Therefore, as this a directly proportional relationship, it is a linear function.

So as n increases by 1, t(n) will decrease by 2.

Therefore, the remaining two ordered pairs are:

(6, 6)

(7, 4)

We know that the function decreases by 2 each time n increases by 1, so the slope (gradient) of the linear function will be -2.

Using the point-slope formula:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

Given:

[tex]\implies y-16=-2(x-1)[/tex]

[tex]\implies y=-2x+18[/tex]

[tex]\implies t(n)=-2n+18[/tex]

Graphing

To find the y-intercept, substitute [tex]n=0[/tex] into the equation:

[tex]\implies t(0)=-2(0)+18=18[/tex]

Therefore, the y-intercept is (0, 18)

To find where the line crosses the x-axis, set the equation to zero and solve for n:

[tex]\implies -2n+18=0[/tex]

[tex]\implies 2n=18[/tex]

[tex]\implies n=9[/tex]

Therefore, the line crosses the x-axis at (9, 0)

i don't understand, what is it asking for here?

Answer:

They are actually panels, not installation. but it is an installation for downloading/installing.

Solar panels are devices engineers use that take the sunlight of the sun and turn it into electricity or heat.

Answer:

1.2 feet

Step-by-step explanation:

30 feet* 1/25 = 6/5 feet = 1.2 feet

Answer:

$2,975

Step-by-step explanation:

3,500 x 15% = 525

3,500 - 525 = $2,975

she has $2,975 left after taxes.

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

A Line plot (dot plots) is a graph or plot that displays on a number line, showing the frequency of each value.

From the image showing the line plot below:

Number of ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long = 5 + 4 + 6 = 15

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

Find out more on line plot at: https://brainly.com/question/3807925

Answer:

B

Step-by-step explanation:

[tex]E=\dfrac{1}{2}mv^{2}\\\\\\2E = mv^{2}\\\\\dfrac{2E}{m}=v^{2}\\\\\\\sqrt{\dfrac{2E}{m}}=v[/tex]

Step-by-step explanation:

correct answer is 168.

hope this helps you.

Hey there!

56 × 3

= 56 + 56 + 56

= 112 + 56

= 168

Basically you had to multiply 6(3), which gave you 18, right? Okay, so you BRING DOWN your 8 and CARRY the 1 OVER your 5. Then you MULTIPLY 5(3), which is 15, right? Then you ADD 15 + 1, which is 16,right?

Thus, that’s why: [168] is most likely your result. (Look at the picture below for better steps )

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

(a - b)² + 4ab = a² + b² - 2ab + 4ab

Combine like terms

                    = a² + b² + 2ab

                    = (a +b)²

                    = (a +b)(a + b)

Answer:

The answer is c. the predators become the limiting factor for the pheasants in that environment.

Step-by-step explanation:

edg aswer

[MA]:

48 r 40

The explanation:

94 x 4 = 376

4,552 - 376 = (792 or ?)

94 x 8 = 752

792 - 752 = 40

94 is greater than 40 so we can't add anymore.

Thus, the answer is 48 r 40

Writer's note: I really hope this will help you.

[xArtsy]

Answer:

20(r−14)

Step-by-step explanation:

Factor 20r−280

20r−280

=20(r−14)

Answer:

[tex]x = 1, \frac{4}{3}[/tex]

Step-by-step explanation:

Factor and set each factor equal to 0

Answer:

B

Step-by-step explanation:

60+15w≥115

-60      -60

15w≥55

w≥4  

60+15(4)≥115

60+60≥115

Answer:

180 sq cm

Step-by-step explanation:

Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).

[tex]\implies A(square \:1) =A(square \:2)+A(square \:3) \\ \\ \implies \: A(square \:1) =100 + 80\\ \\ \implies \: A(square \:1) =180 \: {cm}^{2} [/tex]

Answer:

See Below

Step-by-step explanation:

[tex] \cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) \times \frac{1}{2} - 0 \times \frac{ \sqrt{3} }{2} \\ = - \frac{1}{2} - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - \frac{1}{2} } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) \times \frac{ \sqrt{3} }{2} - 0 \times \frac{1 }{2} \\ = - \frac{ \sqrt{3} }{2} - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - \frac{ \sqrt{3} }{2} } [/tex]

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(7)(6)}~~ + ~~\stackrel{rectangle}{(2)(4)}~~ + ~~\stackrel{rectangle}{(9)(7)}}\implies 21+8+63\implies 92[/tex]

Answer:No 500 minutes is about 8 hours, 1 1/2 hours for 6 days is 9 hours so no he did not stay in his limit

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hint:
Try using an online source to get the answer. Like a program.

Answer:

when you convert the fraction it will equal the amount you need

Step-by-step explanation:

Answer:

[tex]\boxed{\tt x=3,2}[/tex]

Step-by-step explanation:

[tex]\tt x^2-5x+6=0[/tex]

Find two numbers that add up to -5 and multiply to 6: (-6 and -2)

Now, rewrite the expression:

[tex]\tt (x-3)(x-2)[/tex]

[tex]\tt (x-3)(x-2)=0[/tex]

Now, Solve for x:

1)

[tex]\tt x-3=0[/tex]

[tex]\tt x-3+3=0+3[/tex]

[tex]\boxed{\tt x=3}[/tex]

2)

[tex]\tt x-2=0[/tex]

[tex]\tt x-2+2=0+2[/tex]

[tex]\boxed{\tt x=2}[/tex]

Answer:

C. Protector

Step-by-Step Explanation

Protractors look like this

and are used to measure angles

Answer: A

Step-by-step explanation:

a) The area of Australian desert is 3,830,040km²

b)The approximate number of dingos will be  517,055

a) Given the following parameters;

Area of Sahara desert = 9,000,000km²

If the Australian desert is 42.556% of the size of the Sahara desert in Africa, then the area of the Australian desert is expressed as:

Area of Australian desert = 0.42556 * 9,000,000

Area of Australian desert = 3,830,040km²

b) If dingo density is approximately 0.135 animals km² during the dry season, the approximate number of dingos in the Australian desert during this season. will be:

number of dingos =  0.135 * 3,830,040km²

number of dingos = 517,055.4

Hence the approximate number of dingos will be  517,055

Learn more on percentages here: https://brainly.com/question/24304697