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Answer:

[tex]\mathsf{y=3x-4}[/tex]

Step-by-step explanation:

[tex]\mathsf{point \ slope \ form \ of \ linear \ equation: \ \ y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]

(where m is the slope and [tex]\mathsf{(x_1,y_1)}[/tex] and [tex]\mathsf{(x_2,y_2)}[/tex] are points on the line)

Given:

[tex]\implies \mathsf{slope=\dfrac{8--1}{4-1}}=3}[/tex]

Substuting m = 3 and point (1, -1) into the point-slope form of a linear equation:

[tex]\implies \mathsf{y-(-1)=3(x-1)}[/tex]

[tex]\implies \mathsf{y=3x-4}[/tex]

Answer:

he will have exactly 3 cups

Step-by-step explanation:

1. 3/4 X 4/1 = 12/4

2. 12/4 = 3/1 = 3

Answer:

1) 18m²

2) 25cm²

Step-by-step explanation:

1)

2)

Answer:

See below.

Step-by-step explanation:

(a) 27 feet in reality = 3 inches in drawing (length)

(b) 8 inches in drawing = 72 feet in reality (height)

Answer:

2 in

Step-by-step explanation:

Answer:

Cooper's height is 150 cm

Step-by-step explanation:

To find this answer you can divide 180 by 1.2 (1.2 is 120% in decimal form)

Hope that helps!

Step-by-step explanation:

The rule is add 5 to x

6+5=11

n=11

Answer:

(+6) + (-11) + (+5)+(-7)

(6) + (-11) + (5) - (7)

6 - 11 + 5 - 7

(6 + 5) + (-11 - 7)

11 - 18

= -7

Answer:

-7

Step-by-step explanation:

6-11+5-7 is the simplified version. 6-11 is -5. 5-7 is -2. -5+-2 is -5-2 is -7.

Answer:

1

Step-by-step explanation:

When using the remainder theorem, all you do is plug in -2.

P(-2) = -2(-2)^4-2(-2)^3+5(-2)^2-3

= -2(16) - 2(-8) + 5(4) - 3

= -32 + 16 + 20 - 3

= 1

Answer:

P' (x) = -8x³ -6x² +10x

Step-by-step explanation:

Answer:

g(x) = (1/4)x^2

Step-by-step explanation:

See attached image

The equation of the given graph is g(x) = (1/4)x². The correct answer is an option (A).

A parabola is a U-shaped curve this is drawn for a quadratic function.

The graph of g(x) = (1/4)x² is a parabola that opens upwards and is wider than the graph of f(x) = x².

The vertex of the parabola is at the origin (0, 0), and the shape of the curve is determined by the coefficient of x², which is 1/4 in this case.

The graph of f(x) = x² is also a parabola that opens upwards, but it is narrower than the graph of g(x) = (1/4)x².

The vertex of the parabola is also at the origin (0, 0), but the curve is steeper because the coefficient of x² is 1, which is greater than 1/4.

Thus, the correct answer is an option (A).

Learn more about the parabola here:

brainly.com/question/4074088

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PLEASE MAR BRAINLIEST

Answer: THE TRIANGLE HAS AN AREA OF 25 IN ND THE OTHER SHAPE HAS AN AREA OF 156

Step-by-step explanation:

Answer:

b. 19

Step-by-step explanation:

by similarity between two triangles BFG~BAC

Answer:

-4, x, |-1.5| , -x, |5|, |6|

Step-by-step explanation:

X = -2

-X = 2

|-1.5| = 1.5

|5| = 5

|6| = 6

Answer:

The answer is A: 27 inches (not squared because it's not area)

Step-by-step explanation:

In a rectangle the angles are [tex]2y[/tex] and [tex]2x[/tex]

let's say [tex]24=x[/tex]

so then:

[tex]2x=48[/tex]

now to solve for [tex]y[/tex]

[tex]102-48=2y[/tex]

[tex]y=27[/tex]

The answer is A: 27 inches (not squared because it's not area)

Answer:

62

Step-by-step explanation:

6 + 2 is 62 yAAaY

Answer:

Step-by-step explanation:

Round to the nearest ten, hundred, or thousand:

1. 6,471 to need to the nearest thousand is 6,000

Estimate each sum, difference, or product by first rounding to the nearest hundred.

2. 41,348 + 19,749 ==> 41,300 + 19,700 = 61,000

3. 38,652 - 14,549 ==> 38,700 - 14,500 = 24,200

4. 396 • 748 ==> 400 • 700 = 280,000

Solve the equations:

5. t + 28 = 5

      - 28   -28

t = 26

6. 28x = 168

  /28       /28

x = 6

7. 27 = y + 12

-12          - 12

15 = y or y = 15

Simplify:

8. 10 • 24 - (18 + 2) ÷ 4 - (9 - 7)

10 • 24 - 20 ÷ 4 - 2

240 - 5 - 2

240 - 7

233

9. (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]

(80 ÷ 16) x [(20 - 56 ÷ 8) + (64 - 25)]

5 x [(20 - 7) + (64 - 25)]

5 x [13 + 39]

5 x 52

260

Evaluate the exponential notation:

10. [tex]5^4[/tex]

11. [tex]6^3[/tex]

Sort out:

12. Natasha has $196 and wants to buy a computer for $698. How much more do you need?

698 - 196 = $502 <== final answer

13. Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?

406 + 78 = $484 <== final answer

14. A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?

228/12 = 19 cartons filled <== final answer

Hope this helps!

1. 6,471 rounded to the nearest thousand is 6,000.

2. 41,348 rounded to the nearest hundred is 41,300, and 19,749 rounded to the nearest hundred is 19,700. Their sum rounded to the nearest hundred is 61,000.

3. 38,652 rounded to the nearest hundred is 38,600, and 14,549 rounded to the nearest hundred is 14,500. Their difference rounded to the nearest hundred is 24,100.

4. 396 rounded to the nearest hundred is 400, and 748 rounded to the nearest hundred is 700. Their product rounded to the nearest hundred is 280,000.

5. Subtracting 28 from both sides of the equation, we get t = 26.

6. Dividing both sides of the equation by 28, we get x = 6.

7. Subtracting 12 from both sides of the equation, we get y = 15.

8. 10 • 24 = 240. 18 + 2 = 20. 20 ÷ 4 = 5. 9 - 7 = 2. Therefore, the expression simplifies to:

240 - 5 - 2 = 233.

9. First, we need to evaluate the expressions inside the parentheses:

56 ÷ 8 = 7

8 • 8 = 64

5 • 5 = 25

20 - 7 = 13

64 - 25 = 39

Substituting these values into the expression, we get:

80 ÷ 16 x (13 + 39) = 5 x 52 = 260.

10. 5 to the power of 4 is 5 x 5 x 5 x 5, which equals 625.

11. 6 cubed is 6 x 6 x 6, which equals 216.

12. Natasha has $196 and needs $698 for a computer. To find out how much more she needs, we subtract the amount she has from the amount she needs:

698 - 196 = 502.

Natasha needs $502 more to buy the computer.

13. Toni's new balance in his checking account is the sum of his original balance and his new deposit:

406 + 78 = 484.

His new balance is $484.

14. The beverage company packed 228 cans of soda in 12-can cases. To find out how many cartons were filled, we divide the total number of cans by the number of cans in each case:

228 ÷ 12 = 19.

The company filled 19 cartons.

d = 8

Divide both sides of the equation by the same term

Answer:

d = 8

Step-by-step explanation:

Step 1: Divide both sides by 12.

Therefore, the solution is 8.

8a)

x = width

x+3 = length, since its 3 ft longer than the width

A = length*width

A = LW

A = (x+3)*x

A = x^2+3x

Set this equal to 108 since this is the area of the rectangle.

=========================================================

8b)

x^2+3x = 108

x^2+3x-108 = 0

Use the quadratic formula with a = 1, b = 3, c = -108

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(3)\pm\sqrt{(3)^2-4(1)(-108)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{441}}{2}\\\\x = \frac{-3\pm21}{2}\\\\x = \frac{-3+21}{2} \ \text{ or } \ x = \frac{-3-21}{2}\\\\x = \frac{18}{2} \ \text{ or } \ x = \frac{-24}{2}\\\\x = 9 \ \text{ or } \ x = -12\\\\[/tex]

Ignore the negative solution because we cannot have a negative width.

x = 9 is the width

x+3 = 9+3 = 12 is the length being 3 longer.

The rectangle is 12 ft by 9 ft to get an area of 12*9 = 108 sq ft, which confirms the answer.

Answer:

8=4

16=12

24=20

Explanation:

Easy way to do it is just to work backwords.

put the number in the 'r' column in the equation,

Minus 4 from it rather than add 4, this will give you S

Step-by-step explanation:

Multiply 12600 by -3/4 to determine the amount earned.

*12600 can be put over 1.

Multiply:

[tex] \frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4} [/tex]

Simplify by dividing the fraction by 4:

[tex] \frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1} [/tex]

Mikasa has lost $9450.

Answer:

A convex lens converges light and curves outward.

Step-by-step explanation:

A convex lens converges light and curves outward.

We have given that,

A convex lens diverges light and curves inward.

A convex lens diverges light and curves outward.

A convex lens converges light and curves inward.

A convex lens converges light and curves outward.​

We have to determine Which statement describes the characteristics of a convex lens.

A convex lens is a converging lens. When parallel rays of light pass through a convex lens the refracted rays converge at one point called the principal focus.

A convex lens converges light and curves outward.

To learn more about the convex lens visit:

https://brainly.com/question/1031772

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Answer:

$24.50

Step-by-step explanation:

14/4=3.5

3.5x7=$24.5

Sence it is money you have to add a zero so it would be $24.50!

Answer:

The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, ...

2 answers

·

28 votes:

The information given shows that it has a mean of 11.93, a median of 10 and an interquartile ...

Step-by-step explanation:

Answer:

  100 J

Step-by-step explanation:

Kinetic energy is jointly proportional to mass and the square of the velocity.

  KE = 1/2mv²

  KE = 1/2(50 kg)(2 m/s)² = 100 J

Juan has a kinetic energy of 100 joules.

Answer:

-245

Step-by-step explanation:

multiply 7 and -35 to get your answer.

I hope this helped <3

Answer:

The number is (-245)

Step-by-step explanation:

Let the number be 'x'

x ÷ 7 = -35

[tex]\dfrac{x}{7}=-35\\\\\\Multiply \ the \ entire \ equation \ by \ 7\\\\x =-35*7\\\\x = - 245[/tex]