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3 years ago

What is the equation of the graphed linear model? y = x +

Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

y = - 2x + 110

Step-by-step explanation:

The equation of a line in slope- intercept form is

y + mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 110) and (x₂, y₂ ) = (20, 70) ← 2 points on the line

m = $\frac{70-110}{20-0}$ = $\frac{-40}{20}$ = - 2

the line crosses the y- axis at (0, 110) ⇒ c = 110

y = - 2x + 110 ← equation of line

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The measure of two angles are (3x+20) and (5x - 2). What is the value of x if the

adelina 88 [10]

Answer:

x = 9

Step-by-step explanation:

angle 1 plus angle 2 equals 90 because they are complementary. combining like terms gives you 8x + 18 = 90. then you get 8x = 72, which means that x equals 9

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2 years ago

#16 and #19 only Please answer both as soon as possible.

Vlad1618 [11]

Answer:

1. it is not a direct variation because the value k is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our k value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value k was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0

3 years ago

Apply the distributive property to create an equivalent expression. 1/2 ( 10 x + 20 y + 10 z )=

Sergio [31]

Answer:

5x+10y+5z

Step-by-step explanation:

Distributive Property means you multiply each component by the value you are distributing in this case: (1/2)(10x) + (1/2)(20y) + (1/2)(10z) which will yield 5x+10y+5z

6 0

2 years ago

Which of the following is the equation of a line parallel to the line y = -x + 1, passing through the point (4,1)?

vodomira [7]

The equation is y=-x+5

4 0

3 years ago

Read 2 more answers

What is the equation of the graph

AveGali [126]

Answer:

$y = 2x^2 + 1$

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

$y = a*x^2 + b$

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

$3 = a * (1)^2 + 1\\2 = a$

Awesome, we've found both values. And we can write the result.

$y = 2x^2 + 1$

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

5 0

2 years ago