What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10

Answers

Answer 1

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer 2

Answer:

-2 and 5

Step-by-step explanation:

trust


Related Questions

Rewrite the expression 5(2x+1) using the Distributive Property

Answers

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

-3b+7=13 solve for b

Answers

Answer:

b =-2

Step-by-step explanation:

-3b+7=13

Subtract 7 from each side

-3b+7-7=13-7

-3b = 6

Divide each side by -3

-3b/-3 = 6/-3

b = -2

Answer:

b=-2

Step-by-step explanation:

-3b+7=13

     -7  -7

-3b=6

/-3   /-3

b=-2

Help timed test! At which root does the graph...

Answers

Answer:

x = -2

Step-by-step explanation:

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of the factor.

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

To find where it will touch the axis set the factor equal to zero and solve.

(x + 2) = 0

subtract 2 from both sides

x = -2

What is 79(554)+5(746)?

Answers

Answer:

47496

Step-by-step explanation:

Answer: The answer is 47496

Step-by-step explanation:

If you multiply 79 x 554 =43766

Then you multiply 5 x 746= 3730

You add 43766+ 3730 = 47496

Kumar has $10.00 to spend. He decided to buy a candy bar for $1.75 and spend the rest on bags of chips. If each bag of chips costs $2.99, how many bags of chips can kumar buy ?

Answers

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

A newspaper article stated that the US Supreme Court received 812 letters from around the country on the subject of whether to ban cameras from the courtroom. Of these 812 letters, 800 expressed the opinion that cameras should be banned. A statistics student was going to use this sample information to conduct a test of significance of whether more than 95% of all American adults feel that cameras should be banned from the courtroom. What would you tell this student

Answers

Answer:

a)This is a large enough sample to provide an accurate estimate of the American public's opinion on the issue.

An architect is designing a triangular shaped plot of land. The base of the land is 100.8 ft and the height of the land is 96.3 ft. Find the available floor area of the building. Type your answer. Do not include a label, just the numbers.

Answers

Answer:4853.52

Step-by-step explanation:

base=100.8ft

Height=96.3ft

Area of =(base x height) ➗ 2

Area of =(100.8x96.3) ➗ 2

Area of =9707.04 ➗ 2

Area of =4853.52

joe paid 14.00 for a broard game. THis is 70% of the orginal price. What was the orginal price?

Answers

Answer:

20.00

Step-by-step explanation:

14 is 70% of X

70/100 × X = 14

X = 14 × 100/70

X = 20.00

Which is a solution of the system of equations shown?




A. (−4, 0)

B. (2, −4)

C. (0, −2)

D. (2, 0)

Answers

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

Convert the polar coordinates to rectangular form (√2,-π\4)

Answers

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

x = rcos(Ф)y = rsin(Ф)x² + y² = r²  

Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point

We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point

x = [tex](\sqrt{2} )cos(-\frac{\pi}{4} )= (\sqrt{2})(\frac{\sqrt{2} }{2})=\frac{2}{2}=1[/tex] y = [tex](\sqrt{2} )sin(-\frac{\pi}{4} )= (\sqrt{2})(-\frac{\sqrt{2} }{2})=-\frac{2}{2}=-1[/tex]

So our (x, y) point is (1, -1)

[tex](\sqrt{2},-\frac{\pi}{4}) = (1, -1)[/tex]

Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles. How many biscuits does each poodles get? (Assume each gets the same number of biscuits.)

Answers

Answer:

32

Step-by-step explanation:

you just have to divide 131/4 to get 32.75 but  they all have to be equal

Division is one of the four fundamental arithmetic operations. The number of biscuits that each of the four poodles will get is 32.75.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Jenna has a total of 131 dog biscuits, she also has 4 poodles. Therefore, the number of biscuits she should give to each of her poodles can be found by dividing the total number of biscuits by the number of poodles she has.

Thus, the number of biscuits she should give to each of her poodles is,

Number of biscuits each poodle gets

= Number of biscuits / Number of poodles

= 131 / 4

= 32.75

Hence, the number of biscuits that each of the four poodles will get is 32.75.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ5

Helppp.........!!!!!!

Answers

Answer:

84 centimeters of the width of the item in reality

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

         1       =           14      ⇒   x - width of item in reality (cm)

         6                    x

2. Now let us cross multiply, and solve through simple algebra:

14 * 6 = x,

x = 84 centimeters of the width of the item in reality

X=84 have a nice day or night

i need help with this problem x/56=7/8 Thank you

Answers

[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]

lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem

Answers

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

Answer:1.225km is equal to each laps

Step-by-step explanation:

The graph of the invertible function f is shown on the grid below.

What is the value of f -1(6)?

Answers

We have been given graph of function [tex]y=f(x)[/tex]. We are asked to find the value of [tex]f^{-1}(6)[/tex] from the graph of  [tex]y=f(x)[/tex].

We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.

So to find inverse of a function we need to switch all x and y values.

We can see that [tex]f(4)=6[/tex], so to to find value of  [tex]f^{-1}(6)[/tex], we have to switch x and y values.

After switching x and y values, we will get:

[tex]f^{-1}(6)=4[/tex]

Therefore, [tex]f^{-1}(6)=4[/tex].

Answer:

4

Step-by-step explanation:


What is the surface area of a hemisphere with radius 3? Round to the tenths.

Answers

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

please answer this correctly I have to finish this today as soon as possible


Estimate the measure of this angle within 10°.

Answers

Obtuse angle
maybe 130degrees

A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of 205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?

Answers

Answer: 34.65 miles at an angle of 325.39°

Step-by-step explanation:

Ok, the initial position is (0,0)

Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:

p = (30*cos(120°), 30*sin(120°))

Then she travels another 15 miles at an angle of 205°, the new position is:

p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))

p = (-28.59 , 19.64)

If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)

this means that:

X*cos(Y) = -(-28.59) = 28.59

X*sin(Y) = -19.64

Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)

X*(sin(Y))/(X*cos(Y)) = -19.64/28.59

Tg(Y) = -0.69

Y = ATg(-0.69) = -34.61°

If we use only positive angles, this angle is equivalent to:

360° - 34.61° = 325.39°

now lets find the distance:

Xcos(325.39°) = 28.59

X = 28.59/cos(325.39°) = 34.65 miles.

What is 9/40 as a percentage

Answers

Answer:

22.5%

Step-by-step explanation:

Sam wants to measure the amount of water in a full bathtub.
Which is the best unit of measurement for Sam to use?
What’s the answer

Answers

Probably liters, all the others are too big or too small.                                                                                                        

If a zero is
then the graph of its function only touches the x-axis at that zero.
Ifa zero is
then the graph of its function crosses the x-axis at that zero.

Answers

Answer: The first one is of even multiplicity and the second one is of odd multiplicity.

Answer:

even

odd

Step-by-step explanation:

If r(x) = 3x -1 and s(x) = 2x + 1, which is equivalent to [r/s] (6)?

Answers

[tex]\text{Solve by turning it into a fraction and plugging in the value to x:}\\\\\frac{3x-1}{2x+1}\\\\\frac{3(6)-1}{2(6)+1}\\\\\frac{18-1}{12+1}\\\\\frac{17}{13}\\\\\text{You can't simplify the fraction any further, in which it'll conclude your answer}\\\\\boxed{\frac{17}{13}}[/tex]

Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?

Answers

Answer:

1.5x+4

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Distribute

[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]

[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]

[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]

Step 2:  Combine like terms

[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]

[tex]1.5x + 4[/tex]

Answer:  [tex]1.5x + 4[/tex]

Identify two ways that native Americans resisted being relocated

Answers

Answer:

Tortured and kidnapped white colonists, and some started wars.

PLEASE HELP ME:)
(50points)
WILL MARK THE BRAINLIEST !!

Answers

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

What is the value of LaTeX: 4^{-3}
4

3
?

Answers

Answer:

  1/64

Step-by-step explanation:

  [tex]4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{4\cdot 4\cdot 4}=\boxed{\dfrac{1}{64}}[/tex]

Answer:

13

Step-by-step explanation:

=4^-3 . 4 - 3

= 4^-3+1  -3

= 4^-2  -3

= 16-3

= 13

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. x=2 ± √13

Explanation:

9. The circumference of a circle is 601 cm. What is the diameter of the circle?
O 120 cm
90 cm
30 cm
60 cm​

Answers

Answer:191.4 cm

Step-by-step explanation:

Circumference=601 cm

π=3.14

Diameter=circumference ➗ π

Diameter=601 ➗ 3.14

Diameter=191.4 cm

Complete the 3 questions for 10 points.

Answers

Answer:

Look below.

Sorry if the graph's aren't good.

Step-by-step explanation:

13) I'll attach a pic of my graphs:

Slope intercept form is y = mx + b

y = 2x + 1

m = 2

b = 1

14) y = 3/                            5x - 5

m = 3/5

b = -5

15) y = 1/4x - 8

m = 1/4

b = -8

David is preparing a report to show

Answers

Answer:

cool?

who's david den

Step-by-step explanation:

Answer:

He shoud use a table or chart.

Step-by-step explanation:

I answered this question before

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