PLEASE ANSWER !!

The graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2 what is the zero of f ?

Answers

Answer 1

Answer:

Check the explanation.

Step-by-step explanation:

As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.

As the slop-intercept form is given by:

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept.

substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.

[tex]y = mx+b[/tex]

[tex]-10=\frac{5}{2}\left(-2\right)+b[/tex]

[tex]-\frac{5}{2}\cdot \:2+b=-10[/tex]

[tex]-5+b=-10[/tex]

[tex]-5+b+5=-10+5[/tex]

[tex]b=-5[/tex]

And the equation of the line in the slope-intercept form will be:

[tex]y = mx+b[/tex]

putting b = -5 and slope = m = 5/2

[tex]y = mx+b[/tex]

[tex]y=\frac{5}{2}x+\left(-5\right)[/tex]

[tex]y=\frac{5}{2}x-5[/tex]

Determining the zero of function.

As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.

so let us determine the value of x (zero of function) by setting y = 0.

[tex]0=\frac{5}{2}x-5[/tex]

[tex]\frac{5}{2}x-5=0[/tex]

[tex]\frac{5}{2}x=5[/tex]

[tex]5x=10[/tex]

[tex]x=2[/tex]

Therefore, the zeros of the function will be:

x = 2

Related Questions

The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equation?

Answers

x^{3}-2 is the correct answer

JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place?

Answers

Answer: $9.20

Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.

Answer:

$1.20

Step-by-step explanation:

He has to leave 100% of the cost which is $5.50 + 2.50 or $8.00.

He wants to leave 115% of the $8 he has to leave.

So you set it up like

x/8 = 115/100

Then you solve for x

8(115) = 920

920/100 =9.2

So he will leave $9.20.

It then asks for just how much the tip is that he will leave so

9.2 - 8 = 1.2

So the tip is $1.20.

Y0UR M0MWY 100KS L1KE TH1$

Answers

Answer:

I'm confused to what this means

Other Questions
How do you say, What nationality is your father? In Japanese(hiragana) 1.43 x -20/39 is close to -.075. Is this estimate reasonable? The product is negative and half of ? NOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO ORYEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEESLowfat yogurt actually helps you lose weight or gain less? A BMW I-8 has N advertised rate of acceleration of 6.39 m/s to the second power. Based in the advertised date of acceleration, what would the velocity of a bmw I-8, starting from rest, in 4.20 seconds Which strategies maximize recovery following an intense bout of resistance training?(Select all that apply.)replenishing low blood sugar with carbohydratesreplenishing low blood sugar with carbohydrates , ,stretching muscle groups, holding each stretch for 30 seconds or morestretching muscle groups, holding each stretch for 30 seconds or more , ,allowing muscle groups 812 hours of rest before training againallowing muscle groups 812 hours of rest before training again , ,drinking 2024 ounces of water for every pound of body mass lostdrinking 2024 ounces of water for every pound of body mass lost , , Carlos took a test and made a 50. On the next test, he made 75. What is the percentage of change between the two test scores?A. 150% increaseB. 150% decreaseC. 50% decreaseD. 50% increase Which of these items found on a food label IS NOT a food?CaloriesSugarProteinsTotal fats The graph of F(x), shown below, has the same shape as the graph of G(x) = x^3, but it is shifted down 2 units. What is its equation? JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place? Y0UR M0MWY 100KS L1KE TH1$ Give me your cringiest pick up line Hurricanes tend to disperse after making landfall because the land is much hotter than the ocean water. How many significant figures are in 107 moles of sodium HELPPPP LOOK AT THE SCREENSHOT TO ANSWER THE QUESTIONS17. Which object or objects are traveling at a constant velocity?1. A2. B3. C4. D5. E18. Which object is accelerating?1. A2. B3. C4. D19. Which object or objects are sitting still?1. A2. B3. C4. D5. E20. On average, which object is traveling at the fastest velocity?1. A2. B3. C4. D5. E Michael walks 30 meters in 20 seconds. How many meters does he walk per second? difficulties in writing instructions please help me solve it What is the message of this cartoon? US imperialism is a negative force that should be opposed. US imperialism allows the nation to use diplomacy in certain situations. US imperialism is helping the nation grow quickly. US imperialism leads the nation to fight unnecessary wars. Aline that intersects two or more lines at different points A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide