What are the zeros of the function f(x) = x2 – 10x + 21?
help bro

Answers

Answer 1

Answer:

3, 7

Step-by-step explanation:

"Zeros" means solutions to the equation f(x) = 0.  In other words, what are the values of  x  that make the function's value equal to zero?

This one can be solved by factoring.

[tex]x^2-10x+21=0\\(x-7)(x-3)=0\\x-7=0 \text{ or } x-3=0\\x=7 \text{ or } x=3[/tex]


Related Questions

QUICK GIVING BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

Step-by-step explanation:

Top and bottom

Area = L*W

L = 4

W = 2

Area = 4 * 2 = 8

But there are two of them  (2 * 8)                       16

Left and right

Area = L * W

L = 3

W = 2

Area = 2 *3  = 6

But there are two of them                                   12

From back

L*W = 4*3

But there are two of them                                24

Total                                                                    52

Chelsea is designing a window with different-shaped pieces of glass. The shapes she is using are listed below.

Hexagons
Rectangles
Squares
Trapezoids

Which of the shapes she is using can also be classified as a quadrilateral?

Answers

Answer:

rectangle, square and trapezoids can be classified as quadrilaterals

Squares is the answer

Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11

Helppp

Answers

Answers:

first blank =  not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi

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

Explanation:

Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.

We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9

Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11

As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.

For the following set of data, find the population standard deviation, to
the nearest thousandth.

45, 30, 35, 20, 21, 46, 16, 37

Answers

Answer:   10.721

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

Explanation:

Before we can find the standard deviation, we need to find the sample mean which is xbar.

Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set

xbar = (sum of values)/n

xbar = (45+30+35+20+21+46+16+37)/8

xbar = 31.25

Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.

Example: x-xbar = 30-31.25 = -1.25 in row 2

From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5

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

The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375

This is the population variance. Apply the square root to get the population standard deviation

sqrt(variance) = sqrt(114.9375) = 10.7208908

which is approximate. This rounds to 10.721

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

Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.

HELP ASAP
I NEED HELP

Answers

Answer:

1;27

Step-by-step explanation:

1.
a. Find the lengths of the unlabeled sides.

Answers

Answer:

The first one-6.324 (This number actually goes on forever), The second one-10

Step-by-step explanation:

1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324

2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10

Which set of angle meausres would determine a triangle

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would determine a triangle

Select the correct answer.
Which function is the inverse of function
f(x) = -2

Answers

Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )

7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

B ..................

need help will give brainiest

Answers

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.

Answers

Answer:

Right triangle

Step-by-step explanation:

Using pythagorean theorem,

[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]

Hence satisfied. So it is right triangle.

Give the exact value of the trigonometric function below:
sin (45)

Answers

firstable its not 45

its sin(-240)=sin(60)

sin(60)=√3/2

sin45=√2/2

I need to know this question asap

Answers

Answer:

.

Step-by-step explanation:

When money loses some of its value over time, it is caused by
A. purchasing power
B. FICA
C. recalculating worth
D. inflation

Answers

Answer:

D: Inflation

money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D

From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6

Answers

Answer:

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

Step-by-step explanation:

i hope i help have a great day :))

write an equivalent expression: −12(−2x+4y)

Answers

Answer:

24x-48y

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

−12(−2x+4y) = 24x - 48y

______

i need help ive been stuck on these questions​

Answers

I think its a hope it helps

Jamie had some money in her wallet. She bought french fries for $1.40. She then bought a hamburger for $2.25. Now she has $0.35 left.

How much money did she have to start

Answers

Answer:

4 Dallas

Step-by-step explanation:

you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with

ILL GIVE BRAINLIEST

Answers

Answer:

[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]

What number is shown on the number line

Answers

Answer:

Hey mate.....pls attach the pic..........

Lol we need a pic please

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required

Answers

Answer:

A sample size of 474 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Based on previous evidence, you believe the population proportion is approximately 73%.

This means that [tex]\pi = 0.73[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.04. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]

[tex]n = 473.24[/tex]

Rounding up:

A sample size of 474 is required.

−10x 2 +70x
factor the expression completely

Answers

Answer:

[tex]-10x^2 + 70 x = 10x(-x + 7)[/tex]

Explanation :

[tex]-10x^2 + 70x = -10\cdot x\cdot x + 7 \cdot 10 \cdot x[/tex]

'x' and '10' are common in the first and second term. so we take them outside the parenthesis and write the remaining terms inside.

That is,  10 x (-x + 7)

mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens

Answers

Step-by-step explanation:

length of each rectangle= 9 1/14=127/14

breadth of each rectangle=5=4 1/2= 9/2

so perimeter of 1 rectangle= 2(l+r)

=2(127/14+ 9/2)

=2(127+63)/14

=2×190/14

=190/7

=27.14 feet

so total length of fencing= 4×27.14

=108.57 feet

hope you understand the solution and good luck!!

(1.2 x 10^4)+(2.5 x 10^3)

Answers

1) 1.2 x 10^4 = 12000
2) 2.5 x 10^3= 2500
3) 12000+2500
= 14500

Help me please I am not sure about the answer

Answers

Answer:

(a)

[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]

(b)

[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]

(c)

[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]

(d)

[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]

An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer:

16 years

Step-by-step explanation:

Given data

Principal= $8500

Rate= 4.5%

Final amount=  $17,323

The expression to find time in compound interest is given as

t= ln(A/P)/r

substitute

t= ln(17323/8500)/0.045

t= ln(2.038)/0.045

t=0.711/0.045

t= 15.8 years

Hence the total time is about 16 years

Find mEC.
5x - 27)
(2x - 5)
D

Answers

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

Evaluate the expression when x=7 and y=-3. x2+2y

Answers

Answer:

Step-by-step explanation:

x = 7, y = -3     2x + 2y

2 (7) + 2 (-3) = 14 - 6 = 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which is a chord of circle P?

Answers

Answer:

QR

Step-by-step explanation:

A chord is a line that joins two points on the outside of the circle

QR and KL are chords

The table represents data measuring the sound pressure level for noises with various sound pressures. If the sound pressure level is calculated based on the sound pressure, which regression equation models the data?

Answers

Answer: y=93.62logx + 19.81

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Area of the circle 42 m round nearest hundred

Answers

Answer:

Using the formula

A

=

π

r

2

Solving for

r

r

=

A

π

=

42

π

3.65637

Use pie and the formula it’s really easy once u get it
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