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3 years ago

PLZ HELPPPPPP ASAPPP

Mathematics

1 answer:

lozanna [386]3 years ago

3 0

Answer: y = 3x - 2

the equation is y = ax + b (a ≠ 0)

see in the picture, the line passes through (0;-2) and (2;4)

because the line passes through (0;-2) => b = -2

the line passes through (2;4) => 2a + b = 4

have: b = -2

2a + b = 4

⇔ a = 3

b = -2

=> the equation is y = 3x - 2

Step-by-step explanation:

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2. The table shows a function. x 0 1 2 3 5 13 21 29 37 45 53 (a) Is the function linear, exponential, or neither? (b) What is th

Pavlova-9 [17]

Solution:

The Ordered pair of the function is

x : 0 1 2 3 4 5

y: 13 21 29 37 45 53

(a) $\frac{\text{Change in y values}}{\text{Change in x values}}=\frac{21-13}{1-0}=\frac{29-21}{2-1}=\frac{37-29}{3-2}=\frac{45-37}{4-3}=\frac{53-45}{5-4}=8$

Slope between two points are same.So,the function Represented in terms of ordered pairs Linear.

(b) As, you can each Successor of x values is obtained by adding 1 to it's Predecessor.

and , each Successor of y values is obtained by adding 8 to it's Predecessor.

(c) Taking any two ordered pairs , (0,13) and (1,21) we can find an equation of line passing through these 5 points (2,29),(3,37),(4,45),(5,53)

Equation of line passing through passing through two points $(x_{1},y_{1}),{\text and} (x_{2},y_{2})$ is given by

= $\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{y-13}{x-0}=\frac{21-13}{1-0}$

→ y -13 = 8 x

→ y = 8 x + 13

So, Y intercept = 13

8 0

4 years ago

Evaluate the determinate of the matrix with work shown.

Leya [2.2K]

1. Divide the first row by -4

(1, -5/4, -3/2)

2. Multiply the first row by -2

(-2, 5/2, 3)

3. Subtract the first row from the third row and restore it.

1 (1, -5/4, -3/2)

3 (0, -15/2, 1)

4. Restore the first row to the original view

(-4, 5, 6)

5. Divide the second row by 4

(0, 1, 1)

6. Multiply the second row by -15/2

(0, -15/2, -15/2)

7. Subtract the second row from the third row and restore it

2 (0, 1, 1)

3 (0, 0, 17/2)

8. Restore the second row to the original view

(0, 4, 4)

9. Multiply the main diagonal elements

-4 x 4 x 17/2 = 136

Answer: Δ = 136

3 0

4 years ago

Find the value of X.

Semmy [17]

Answer:

x=28

Step-by-step explanation:

90-33=57

2x+1=57

2x=56

x=28

6 0

3 years ago

The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

Shape: Triangle

Represent the height with h and the base with b

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- First value of h

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ ------ Second value of h

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

3 0

3 years ago

Express 16 as a product of its prime factors.

Crank

Answer:

16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,

Step-by-step explanation:

which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square

if this helped please give me brainliest

7 0

4 years ago

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