Which is a zero of the quadratic function f(x) = 16x2 + 32x − 9? x = –5.25 x = –2.25 x = –1.25 x = –0.25

Answers

Answer 1

Answer:

answer b -2.25

Step-by-step explanation:

Answer 2

The zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

How to determine the zero?

We have:

f(x) = 16x^2 + 32x - 9

Next, we test the options.

x = –5.25

f(-5.25) = 16(-5.25)^2 + 32(-5.25) - 9

Evaluate

f(-5.25) = 264 --- this is false

x = –2.25

f(-2.25) = 16(-2.25)^2 + 32(-2.25) - 9

Evaluate

f(-2.25) = 0 ---- this is true

Hence, the zero of the quadratic function f(x) = 16x2 + 32x − 9 is -2.25

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Related Questions

At a local frozen yogurt shop you have a choice of 6 different flavors of yogurt and 18 different toppings. There would be how many ways to select yogurt and a topping? (Permutations and combinations)

Answers

Answer:

108

Step-by-step explanation:

How many real number solutions exist for 2x2 + 8x + 8 = 0?

A. 0
B. 1
C. 2
D. 3
Whats the answer i rlly need help

Answers

Answer:

B

Step-by-step explanation:

2x^2+8x+8=0

x^2+4x+4=0

(x+2)^2=0

so B, 1 solution

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

Answer: 10.2

Step-by-step explanation:

Plz answer fast and help mr

Answers

Answer:

The median is 47

Step-by-step explanation:

that line in the middle of the box is directly on 47

Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.

How long and how wide is the actual swimming pool?

Answers

Answer:

1cm

Step-by-step explanation:

Write the equation of the line that contains the
points (4, -7) and (1,5).

Answers

Answer:

y=-4x+9

Step-by-step explanation:

y=-4x+9

m=y2-y1/x2-x1

m= 5-(-7)/1-4

m=12/-3=-4

y=-7   m=-4   x=4 find b

y=mx+b

-7=4*4 +b

b=-7+16 = 9

Yoooooo help me out pls

-ayyyyy

Answers

Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

Answer:

Step-by-step explanation:

A square meters-

Millimeters are super small

And the other ones are to huge

Dats easy

If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government

Answers

Answer:

The government loses $1000 per tax payer, according to the following function:

[tex]y(x) = -1000*x[/tex]

Where "y" is the total money earned by the government and "x" is the number of tax payers.

Step-by-step explanation:

Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:

[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]

The government loses $1000 per tax payer.

John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours?

Answers

Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]

Hope this helps!

Find the greatest common factor of 26 and 14.

Answers

Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

PLEASE HELP ME I WILL GIVE BRAINLIEST

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Answers

Answer:

there are fourteen 4-point questions and twenty six 2-point questions.

Step-by-step explanation:

Given : A 40-question test has 108 possible points.

There are m 4-point questions and n 2-point questions.

So , equation for total number of questions in the test :

m + n = 40 | 4n + 2n = 108

Multiplying (i) by 2 , we get

2m + 2n = 80

Subtract (iii) from (ii) , we get

2m = 28

⇒ m = 28/ 2 = 14

Using value of m in (i) , we get

14 + n = 40 ⇒ n = 26

from this we get there are fourteen  4-point questions and twenty six 2-point questions.

hope this helped!

A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?

Answers

Answer:

8

Step-by-step explanation:

There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat

Answer:80milliliters/pound

Step-by-step explanation:

Rate per a pound = 20/15=4/3

For 60pounds =4*60/3

=80milliliter/pound

What is the surface area of a cone that has a radius of 5 units and a height of 10 units?

Answers

235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

[tex]SA=\pi r^2+\pi rl[/tex]

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.

Ummm help someone who knows what they doing

Answers

18x+30=12x-6
6x=-36
X=-6

Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x +y =3 3y= x - 12

Answers

Answer:

The second figure is the correct figure.

Step-by-step explanation:

Graph (ii) is solution of system of equation.

We have to given that,

System of equations are,

2x + y = 3

3y = x - 12

Now, Solve the equations and find the solution,

Here, Equations are,

2x + y = 3  .. (i)

3y = x - 12  .. (ii)

From (i);

y = 3 - 2x

Substitute in (ii);

3 (3 - 2x) = x - 12

9 - 6x = x - 12

9 + 12 = 6x + x

7x = 21

x = 3

And from (i);

2 × 3 + y = 3

6 + y = 3

y = - 6 + 3

y = - 3

Hence, Solution is, (3, - 3).

So, Graph shown in option (ii) has intersection point (3, - 3)

Thus, Graph (ii) is solution of system of equation.

Learn more about systems of equations at:

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Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

Part : Find g(x) by identifying the function you are taking the square root of

Answers

Answer:

g(x) = (3x-4)

Step-by-step explanation:

F(x) =  sqrt( 3x-4)

We are taking the square root of (3x-4)

so g(x) = (3x-4)

angles M and N are supplementary find angle M if angle N=27

Answers

Answer:

153°

Step-by-step explanation:

Supplementary = 180 degrees

180 - 27 = 153 degrees

Answer:

153 degrees

Step-by-step explanation:

When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:

M+N=180

M+27=180

M=180-27=153

Hope this helps!

Complete the equation of the line through (–6,5) and (-3, -3).
Use exact numbers.

Answers

Answer:

-3, -3

Step-by-step explanation:

what is the definition for a line segment

Answers

Answer: A line segment is a part of a line. It has 2 endpoints.

Step-by-step explanation:

Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.

So, in order for a figure to be a line segment,

it needs to begin and end at an endpoint.

Take a look at the image provided below.

is (1,8) a solution of the equation 3x + 5 = y ?

A True
B False

Answers

Answer:

A.

Step-by-step explanation:

Plug it in:

3 + 5 = 8

TRUE

The answer to this question is true I don’t know why but it is soooo ya pick a

Find the slope of the line 25 points
y
=
9
7
x
+ 1
.

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

97

Step-by-step explanation:

y=mx+b

m= slope

y=97x+1

A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2

Answers

Answer:

4x+6

Step-by-step explanation:

P=2L+2W

P= 2(x+2) +2(x+1)

P= 2x+4+2x+2

P= 4x+6

What is the area of trapezoid QRST?

Answers

Divide the sides by 2 and multiply the sum of the bases

Answer:

?

Step-by-step explanation:

divide the trapezoid into 1 square and 2 triangles.

then calculate the square.

6 * 6 = 36.

after youve done this you have to calculate the triangles.

6 * 3 = 18 = 1 triangle

18 * 2 = 36 = 2 triangles

now add them together:

36 + 36 = 72

in conclusion this should be the proper answer but its not on your page so...

i would say count the squares 1 by one...

but i did that...

its 54

:)

Find the mean of the following group of numbers: 1.2, 2.3, 0.8, 2.3, 1.0, 3.1,
4.2, 1.4, 2.1, 0.4, 1.3, 2.0, 1.8, 3.2*

Answers

Answer:

1.93

Step-by-step explanation:

1.To find the mean you need to add all the numbers

2. Next divide by how many numbers they are

Example:

1,2,3,4

1. Add the numbers together

(1+2+3+4=10)

2. Divide by how many numbers they are

(There are only 4 numbers)

So..... 10 ÷4 =2.5

So 2.5 is the mean

Evaluate 3z when z=9

Answers

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

1. An arch in the shape of a semicircle is to be set up at the entrance of a festival.
The distance around the arch is about 110 feet. What is the height of the arch, in
feet? Round your answer to the nearest whole number.​

Answers

Answer:

35 ft

Step-by-step explanation:

The arch is in the shape of a semicircle.

The distance around the arch is about 110 feet. This is the same as the circumference of the arch.

The height of the arch is the radius of the arch.

The circumference of a semicircle is given as:

[tex]C = \pi r[/tex]

where r = radius

Therefore:

110 = πr

=> r = 110/π

r = 35.01 ft ≅ 35 ft

The height of the arch is 35 ft

The height of the arch in feet is 35 ft.

Calculation of the height:

Since The distance around the arch is about 110 feet.

We know that

The circumference of a semicircle should be

110 = πr

[tex]r = 110/\pi[/tex]

r = 35.01 ft

≅ 35 ft

hence, we can conclude that The height of the arch in feet is 35 ft.

Learn more about height here: https://brainly.com/question/4089721

Help please! look at the attachment

Answers

Answer:

B

Step-by-step explanation:

Lines l and m are parallel.
Use the diagram to determine the measure of ∠3.

Answers

Answer:

∠3 is 70°

Step-by-step explanation:

∠1 is 50° since it is across from another 50° angle

and then you use the equation x+25+2x+50=180 to find x

x then equals 35°

you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°

Answer:

It is 70

Step-by-step explanation

right on egde 2020.

Pls ANSWER LOOK AT THE PHOTO ANSWER ASAP

Answers

Answer:

Answer number one, x < 7/12

Answer:

A

Step-by-step explanation:

If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.

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