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Aleonysh [2.5K]
4 years ago
14

What is the third step in simplifying this equation (10-7) + (2*14/4)

Mathematics
1 answer:
sladkih [1.3K]4 years ago
7 0
The first step is 10 - 7 + (2)(14)/4 which equals (2-step) = 3 + 28/4 (3-step) = 3 + 7 (finale-step) = 10
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Use the above graph to answer the following:
igor_vitrenko [27]

Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4

Step-by-step explanation:

  • Step 1: Find slope, m.

Slope = (y2 - y1)/(x2 - x1)

Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)

⇒ m = (-1 - 3)/(5 - 0) = -4/5

  • Step 2: Find the y-intercept

y-intercept is the point where the line intersects the y-axis.

Here, the y-intercept, b = 3

  • Step 3: Write the equation of the line in slope-intercept form

y = mx + b ⇒ y = -4/5 x + 3

  • Step 4: Find the x-intercept using the equation.

x-intercept is the point where the line intersects the x-axis. Then y = 0

⇒ 0 = -4/5 × x + 3

⇒ -4/5 × x = -3

⇒4x = 15

∴ x = 15/4

6 0
4 years ago
What are the zeros of the polynomial function f(x) = x3 + x2 − 20x?
Irina-Kira [14]
x^3 + x^2 - 20x=0\\
x(x^2+x-20)=0\\
x(x^2+5x-4x-20)=0\\
x(x(x+5)-4(x+5))=0\\
x(x-4)(x+5)=0\\
x=0 \vee x=4 \vee x=-5
4 0
3 years ago
Read 2 more answers
I need to solve 145 + 67 in 5 different ways.
Mrrafil [7]
145+67=212 One other way to solve it is to solve it is you subtract.
5 0
3 years ago
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HELP PLS! IS THIS RIGHT? ONLY ANSWER IF YOU KNOW! THANKS!
Black_prince [1.1K]

Answer:

YES its 8

Step-by-step explanation:

3 0
3 years ago
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Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is ver
aalyn [17]

Answer:

It is 74.24 degrees Fahrenheit when the crickets are chirping 150 times a minute.

Variables x = Chirps and  y = Degrees

y-intercept = 38.24

slope = 0.24

Step-by-step explanation:

As the chirps are 124 times per minute for 68 degrees Fahrenheit we will consider it in (x_1,y_1) = (124,68).

Now when the chirps are 172 times and temperature is 80 degrees we consider it (x_2,y_2) = (172,80).

To find the slope we can use point-slope formula.

Where m is the slope and m=\frac{y_2-y_1}{x_2-x_1} =\frac{80-68}{172-124}= 0.24

To find y-intercept we will plug out the value of slope in y=m(x)+b choosing point (x_1,y_1) = (124,68).

So b=y-m(x) =68-124(0.24) =68-29.76=38.24

And the equation is y=0.24(x)+b

To calculate temperature for 150 chirpings we have to plug x=150 and b=38.24 in our above equation which is in form of y=m(x)+b

y=0.24(x)+b

y=0.24(150)+38.24=74.24\approx 75 degrees Fahrenheit.

Finally we have :

Temperature 74.24 degrees Fahrenheit.

With variables x = Chirps and  y = Degrees

y-intercept = 38.24 and

slope = 0.24

6 0
3 years ago
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