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3 years ago

Find the equation in slope-intercept form that describes a line through (2, 4) with slope 0

Mathematics

1 answer:

True [87]3 years ago

6 0

Since we already know that the slope is 0, x cancels out in the equation.

y = mx + b → y = b

We just need to find the y-intercept. Using the coordinate (2, 4) we can substitute with y.

4 = b

Hence, the answer is b) y = 4

Hope This Helped! Good Luck!

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!*I NEED HELP AND QUICK*!

rewona [7]

1)96/8=12
2)(95*6+5)/6 : (24+1)/3 = (95*6+5)/6 : 2*25/6 = 575/6 *6/50=575/50
=23/2=11 1/2
11 1/2

3) (11 1/2)*12 area of the one type of the wall, there are 2 such walls
(11 1/2)*12*2
(8 1/3)*12 area of the second type of the wall, there are 2 such walls
(8 1/3)*12 *2

Altogether area of the walls:
(11 1/2)*12*2 + (8 1/3)*12 *2=12*2(11 1/2 + 8 1/3)= =24(19+3/6+2/6)=24(19+5/6) = 456 +24*(5/6)= 456+20= 476

Tamara needs total 476 square feet, which is less than 480 square feet, so she has enough paint.

5 0

3 years ago

Graph y < 1 -3x. Plz help me I will give branilest

Marianna [84]

Answer: Someone tell me if i'm wrong but from this I think it might be the fourth one (?)

Step-by-step explanation:

y=1

A straight line in slope (m) and intercept (c) form is:y=mx +c

In this example, y is a straight line of slope 0 and y −intercept of 1 ∴ y =0⋅

x+1

Hence, the graph of y a is straight line parallel to the x −axis through the point

(0,1)

5 0

2 years ago

The graph shown represents the number of bacteria in a dish after a certain number of minutes. It is a function in the form f(x)

SSSSS [86.1K]

Answer:

The number of bacteria in the dish after 9.9 minutes is 478

Step-by-step explanation:

The form of the function is $f(x)=a.b^{x}$ , where a is the initial amount (value f(x) at x = 0)

To find a and b let us use two points from the graph and substitute their coordinates in the equation

∵ The graph passes through point (1 , 1)

∴ x = 1 and y = 1

- Substitute them in the equation

∵ $1=a.b^{1}$

∴ a.b = 1 ⇒ (1)

∵ The graph passes through point (1 , 1)

∴ x = 3 and y = 4

- Substitute them in the equation

∵ $4=a.b^{3}$

∴ a.b³ = 4 ⇒ (2)

Use equation (1) to find a in terms of b

∵ a.b = 1

- Divide both sides by b

∴ $a=\frac{1}{b}$ ⇒ (3)

- Substitute a in equation (2) by equation (3)

∴ $\frac{1}{b}$ . b³ = 4

- Remember the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$

∵ $\frac{1}{b}$ . b³ = $b^{3-1}$ = b²

∴ b² = 4

- Take √ for both sides

∴ b = 2

Substitute the value of b in equation (3) to find a

∵ a = $\frac{1}{2}$

∴ a = 0.5

∴ $f(x)=0.5(2)^{x}$

∵ f(x) represents the number of bacteria after x minutes

∵ x = 9.9 minutes

- Substitute x by 9.9 to find the number of bacteria

∵ $f(9.9)=0.5(2)^{9.9}$

∴ f(9.9) = 477.7128917

- Round it to the nearest whole number

∴ f(9.9) = 478

∴ The number of bacteria in the dish after 9.9 minutes is 478

4 0

3 years ago

Combine the following fractions by addition or subtraction as directed.

Marina86 [1]

Answer: $\frac{6}{y^2-xy}-\frac{6}{x^2-xy}=\frac{6(x+y)}{xy(y-x)}$

Explanation:

Combining the fractions, we have:

$\begin{gathered} \frac{6(x^2-xy)-6(y^2-xy)}{(x^2-xy)(y^2-xy)} \\ \\ =\frac{6x^2-6xy-6y^2+6xy}{(x^2-xy)(y^2-xy)} \\ \\ =\frac{6x^2-6y^2}{x(x-y).y(y-x)} \\ \\ =\frac{6(x-y)(x+y)}{-xy(x-y)^2} \\ \\ =\frac{-6(x+y)}{xy(x-y)} \\ \\ =\frac{6(x+y)}{xy(y-x)} \end{gathered}$

8 0

1 year ago

What is the place value of the 1 in the number 6.213

DochEvi [55]

Answer:

The hundredths place

Expanation

6 is in the one's place

2 is in the theth's place

1 is in the hundredth's place

3 is in the thousandth's place

5 0

2 years ago