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2 years ago

Which equation matches the graph shown?

Mathematics

2 answers:

timofeeve [1]2 years ago

7 0

Take 2 points

(0,-3)
(1,1)

Slope:-

$\\ \sf\longmapsto m=\dfrac{1+3}{1}=4$

Equation of line in point slope form

$\\ \sf\longmapsto y-y_1=m(x-x_1)$

$\\ \sf\longmapsto y+3=4x$

$\\ \sf\longmapsto y=4x-3$

pogonyaev2 years ago

4 0

Answer:

C. y = 4x - 3

Step-by-step explanation:

The line has a positive slope and negative y-intercept.

m = 4, b = - 3

This is only matched by a choice C

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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Vedmedyk [2.9K]

Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

Composite Functions
Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5
Combine like terms: (f + g)(x) = 5x² - 4

8 0

2 years ago

PLEASE HELP!! Dee bought 6 dolls and 2 toy trains for $55. At the same prices, Joy bought 4 dolls and 7 toy trains for $65. What

GuDViN [60]

Answer:

The cost of 1 doll = $ 7.5

and The Cost of 1 toy train = $ 5

Step-by-step explanation:

Let the price of 1 doll = $ x

The price of 1 toy train = $ y

Now, according to the question:

6 x + 2 y = $ 55

and 4 x + 7 y = $ 65

Solving the given system of equation,

From (1), we get

$x= \frac{55 - 2y}{6}$

$4 ({\frac{55 - 2y}{6}} ) + 7y = 65$

or, solving for y , we get

110y - 4y + 21 y = 195

or, 17 y = 85

⇒ y= 85/17 = 5

This implies : 6 x + 2 (5) =55

or, 6x = 55 - 10 = 45

or, x = 45/ 6 = 15/2

Hence, the cost of 1 doll = x = $ 7.5

and the Cost of 1 toy train = y = $ 5

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3 years ago

Jordan changed the dimensions of a rectangular picture measuring 20 cm wide by 25 cm high by a scale factor of 5/2.

iVinArrow [24]

Answer:

I believe it's an enlargement, because 5/2 is more than one whole.

Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Find the sum of nth term of the series 1+3/2+5/2^2+7/2^3+.......

ioda

Answer:

an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)

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6 0

3 years ago