What are the zeros of the function shown in the graph?

Answer:

Width of Pathway; 2 meters

Step-by-step explanation:

To determine the width of the pathway we can tell that the length of the ends ( in meters ) is distributed among the two other ends of the garden so that the width ⇒

Increase length on one side * 2, if increased length / width ⇒ x, 2x

From this we can formulate an equation based on the lengths of the garden, as the increased lengths represents the side lengths of the total area ( walkway + garden );

( 12 + 2x )( 6 + 2x ) = 160 ⇒ Expand,

72 + 36x + 4x^2 = 160 ⇒ Subtract 160 on either side,

4x^2 + 36x - 88 = 0 ⇒ Factor,

4 * ( x - 2 ) * ( x + 11 ) = 0 ⇒ Use Zero Factor Principle,

x = 2, and x = - 11;

Now the width can only be a positive value, thus;

Solution; Width ⇒ 2 meters

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

Answer:

A. 16 pieces

Step-by-step explanation:

If Jodi learned to sing a total of 4 pieces over the course of 2 weeks of voice lessons, after 8 weeks of voice lessons, Jodi be able to sing 16 pieces.

2 x 2 =4

8 x 2= 16

Therefore the answer is 16.

Hope this helps and I explained it well enough !

Have a nice day.

Answer:

The first side of the triangle = 180 cm

The second side of the triangle = 60 cm

The third side of the triangle =130 cm

Step-by-step explanation:

To solve this, we will follow the steps below;

First, re-write the question in a mathematical format and then solve;

let a=the first side of the triangle

b=the second side of the triangle     and

c=the third side of the triangle

"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:

a=3b ------------------------------------------------(1)

"the third side is 50 cm shorter than the first side" can be re-write as :

c=a-50-----------------------------------------------(2)

"perimeter is 370"  can be re-write as:

a + b + c = 370 --------------------------------------(3)

from equation (2), make b subject of the formula; a= 3b

b=a/3  ------------------------------------(4)

substitute equation (2)   and (4) into equation (3)

a + b + c = 370

a+[tex]\frac{a}{3}[/tex] + a-50 = 370

add 50 to both-side of the equation

a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50

a+[tex]\frac{a}{3}[/tex] + a= 420

[tex]\frac{3a + a + 3a}{3}[/tex]  = 420

[tex]\frac{7a }{3}[/tex] = 420

multiply both-side of the equation by 3

[tex]\frac{7a }{3}[/tex] ×3= 420×3

7a = 1260

Divide both-side of the equation by 7

[tex]\frac{7a}{7}[/tex]  =  [tex]\frac{1260}{7}[/tex]

a= 180

from equation (4)   b = a/3

b = 180/3 = 60

from equation (2)  c= a- 50

c= 180 - 50

c= 130

a=   180 cm    

b = 60 cm

c= 130 cm

Therefore,the first side of the triangle = 180 cm

the second side of the triangle = 60 cm

the third side of the triangle =130 cm

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:32.5

Step-by-step explanation:

585/18

Answer:

30 years

Step-by-step explanation:

41 minus 11=

Answer:

12%

Step-by-step explanation:

The required percent increase is 12%

Tamanika got a raise in her hourly pay, from $15.50 to $17.36

percentage is defined as, composition of something out of whole inbounds of 100.

since = 17.36 - 15.50/15.50 x 100
= 1.86/15.50 x 100
= 0.12 x 100
= 12

Thus the required percent increase is 12%.

Learn more about percent here:
https://brainly.com/question/14699403

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Answer:

1000 times

Step-by-step explanation:

900000 divide 900 equals 1000

Answer:

it would be 1000 times.

Step-by-step explanation:

All you have to do is find out how many zeros you can put before the 900 and then put a one after it. And don't mind all of the other numbers. They don't matter in this equation. Pretend they are all zeros.

900,000

000,900

You see how many zeros there are before the 900.

Then just add a one 1000

Answer:

A 28 and 45

Step-by-step explanation:

So keep in mind that columns must add up to the total numbers, and rows must add up to their total numbers.

We know that what goes in the box canoeing + swimming is

x + 43 = 71.

It needs to add up to 71!

x = 71 - 43 = 28

We know that what goes in the box no swimming + no canoeing is

34 + y = 79

It needs to add up to 79.

y = 19 - 34 = 45

So the answer is A. 28 and 45.

Now, I did this with the columns, but you could easily do this with the rows and get the same result!

Answer:

12.94 for 1 ft squared

Step-by-step explanation:

You divide 220 by 17.

Answer:

$12.94

Step-by-step explanation:

For 17 ft² = $220

Unit rate = 220/17 = $12.94

Answer:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Step-by-step explanation:

For this case we know that the confidence interval for the proportion of interest is given by:

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

And for this case the confidence interval is given:

[tex] 0.61 \leq p \leq 0.70[/tex]

And for this case we can estimate the proportion of households who recycle paper is given by:

[tex] \hat p = \frac{Upper +Lower}{2}[/tex]

And replacing we got:

[tex] \hat p =\frac{0.7+0.61}{2}= 0.655[/tex]

And for this case the answer is 0.655 for the proportion of households who recycle paper

Answer:

this answer is correct because i just took the test

Step-by-step explanation:

Answer:C, X and Y

Step-by-step explanation:

I just took the test

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

Answer:

You can move the place value over to explain

Step-by-step explanation:

Answer:

The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation:

Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

Answer: 4.722

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Start by changing the -8 to plus a negative 8.

Now, the -7 distributes through the parentheses.

This gives us -7(5x) + -7(-8) which simplifies to -35x + 56.

Answer:

-5*(-6) = 30

-27/9 = -3

Step-by-step explanation:

We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.

Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.

-27/9 = -3 Which is a negative divided by positive = negative

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Answer:

7/30

Step-by-step explanation:

First we need to find the number of girls on the Newcastle team, which is the total number of girls minus the number of girls on the other team, giving us 20-6=14. This means the number of player total is 3+7+6+14 or 30 players. There are 7 Sunderland boys so we have 7/30

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

Answer:

i think the letter d is the correct answer sorry if im wrong

Answer:85

Step-by-step explanation:

360-119-71=170

170÷2=85

Answer:

Step-by-step

149331:

Answer:

149331

Step-by-step explanation:

hope its correct and it helps

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

Answer:

23

Step-by-step explanation:

Given

(7x + 8) + (15 - 7x) ← remove parenthesis

= 7x + 8 + 15 - 7x ← collect like terms

= 23

288.64

this is the real answer the last one was a mistake