8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8

Answer:

149.5 = 120.25

Step-by-step explanation:

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

Answer:

y=5x-8

Step-by-step explanation:

Slope=m=(7-3)/(3-2)

y=5x+b=>2=5*2+c=>c=-8

So y=5x-8

[tex]\text{Given that,}\\\\(x_1,y_1) = (2,2), ~ \text{and}~ (x_2,y_2) = (3,7)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{7-2}{3-2} = \dfrac 51 = 5\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y-2= 5(x-2)\\\\\implies y -2 = 5x-10\\\\\implies y = 5x -10 +2\\\\\implies y = 5x -8\\\\\\\text{It is now in a form of y = mx +c}[/tex]

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84

Answer:

The purple square

Step-by-step explanation:

Answer:

4 pieces of fruit

Step-by-step explanation:

48 divided by 12 = 4

28 divided by 7 = 4

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

Answer:

5.4

5.465

5.48

5.51

5.529

5.596

Step-by-step explanation:

5.465 is 0.065 higher than 5.4

5.48 is 0.015 higher than 5.465

5.51 is 0.03 higher than 5.48

5.529 is 0.019 higher than 5.51

and 5.596 is 0.067 higher than 5.529

Round off to one decimal

Order

5.400<5.465<5.480<5.510<5.529<5.596

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

I graphed the system of equations.

When graphed, the two equations intercept 4 times.

(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.

Hope this helps.

Answer:

≈ 98.7

Step-by-step explanation:

What you want to use is Pythagorean Theorem

96 squared + 23 squared = c squared

≈ 98.7

Answer:

[tex]\huge\boxed{5,6}[/tex]

Step-by-step explanation:

The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

Quintic Trinomial (2nd option)

Step-by-step explanation:

We know that this is a quintic polynomial because the degrees add up to 5. If we expand the polynomial, we have [tex]-3x(x^2-4)(2x^2+5)=(-3x^3-12x)(2x^2+5)=-6x^5-45x^3-24x^3-60x=-6x^5-69x^3-60x[/tex]

So, there are 3 terms, which is a trinomial.

Answer:

I’m sorry I don’t know

Step-by-step explanation:

☹️☹️☹️☹️☹️

Answer:

Step-by-step explanation:

Given relationship between the constants of the line ax + by +c = 0:

We can try options, the obvious one is:

In this case the line becomes:

This gives us the point (5, - 1), the option III

Answer:

P=25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Conclusion:

Hoped this helped.

[tex] \frac{7}{20} \times 100 = \\ [/tex]

[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]

[tex]5 \times 7[/tex]

[tex] 35 \: \: percent[/tex]

_____________________________________________

Suppose that number is x thus twice a number means :

[tex]2 \times x[/tex]

Plus 6 :

[tex]2x + 6[/tex]

Gives a result 28 :

[tex]2x + 6 = 28[/tex]

_____________________________________________

Have a great day ♡

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

---------------------------------

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6