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9966 [12]
2 years ago
15

The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at

least the one zero greater than 4.
X^2+11x+30
X^2-5x-14
X^2+5x-24
X^2-5x+6

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0
<h3>Answer: Choice B is correct</h3>

========================================================

Explanation:

Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.

The x intercept is the same as the root or zero of a function.

You should find that only choice B has a root thats larger than 4. That specific root being x = 7.

----------------------------

A non-graphing approach:

You can use the quadratic formula or the factoring method to find the roots.

For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.

On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7  and x = -2. This is another way to see why choice B is the answer.

Here are the steps for the quadratic formula for choice B

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.

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Fiona wrote the linear equation y = 2/5x -5. When Henry wrote his equation, they discovered that his equation had all the same s
Margarita [4]

Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.

Hence, option D is the correct answer.

This question is incomplete, the missing answer choices are;

A. x- 5/4y =25/4

B. x-5/2y=25/4

C. x-5/4y =25/4

D. x- 5/2y=25/2

<h3>Which equation could be Henry’s?</h3>

Given the linear equation written by Fiona; y = 2/5x - 5.

From the answer choices provided, they are in the form of x - (m)y = b.

We will transform Fiona's equation into that form.

y = 2/5x - 5

Divide each term by the coefficient of x.

y(5/2) = (5/2)2/5x - (5/2)5

5/2y = x - 25/2

25/2 = x - 5/2y

x - 5/2y = 25/2

Given the equation written by Fiona and Henry, If both linear equations have the same solutions, Henry's equation is x - 5/2y = 25/2.

Hence, option D is the correct answer.

Learn more about linear equation here: brainly.com/question/12974594

#SPJ1

8 0
2 years ago
-24÷-8-13 Calculate <br>show all your calculations​
I am Lyosha [343]

Answer: -10

Step-by-step explanation:  -24/-8 = 3

3-13 = -10

8 0
3 years ago
Read 2 more answers
Given f(x) = x^2 + 7x and g(x) = x^4 choose the expression for (f ° g)(x)
Brums [2.3K]

Answer:x^8+7x^4

Step-by-step explanation:

First we have to do the g(x) cause it's closest to x.

g(x)=x^4

x^4 is the output for g(x) ad input for f(x). So now we have to put it in x's place in here➡️f(x)

So, f(x^4)=(x^4)^2+ 7(x^4)

=x^8+7x^4

It's the final output

5 0
2 years ago
Brainliest if correct - What is the circumference of this circle? View image for full question.
lesantik [10]

Answer:

308 mm

Step-by-step explanation:

The formula for circumference of a circle is C=2\pi r

Where C is the circumference

\pi  is \frac{22}{7}, and

r is the radius (given as 49)

<em>Putting them into the formula, we get:</em>

<em>C=2\pi r\\C=2(\frac{22}{7})(49)\\C=308</em>

<em />

<em>Thus, circumference = 308 mm</em>

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangular garden is 37.5 feet. the width is x, and the length is 15. solve for x
Kazeer [188]
The perimeter of rectangle formula is (w+l)*2=37.5
The w is x, the l is 15
So, (x+15)*2=37.5
x=3.75
Please choose me the Brainliest. Thanks
5 0
3 years ago
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