Mathematics High School

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Answers

Answer 1

Answer:

#1) 3 different roots, total 6#2) 3 different roots, total 9#3) 3 different roots, total 4

Step-by-step explanation:

The roots are:

x - 3 = 0 ⇒ x = 3, multiplicity 2x + 1 = 0 ⇒ x = -1, multiplicity 32x + 5 = 0 ⇒ x = -2.5#2

The roots are:

x = 0, multiplicity 3x + 2 = 0 ⇒ x = -2x - 4 = 0 ⇒ x = 4, multiplicity 5#3

The roots are:

x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2

Related Questions

20 oz.
4. The sum of 2 numbers is 40. The ratio of the bigger to the smaller number is 3:2. What is the smaller
number?

Answers

Answer:

Step-by-step explanation:

40 = 3:2 x

Then, you know that 3+2 = 5

so, x = 40/5

x=8

Now, you multiply x by 2 to get 16

The johnsons's back yard is 3/8 of am arce.They planted a vegtable garden on 1/3 of the yard.How big is the garden?

Pls help;

Answers

Answer:

1/8 of an acre

Step-by-step explanation:

Please answer my question and give me the explanation clearly.I will give you more points

Answers

use the process of cross multiplication here
so
6=15
x=12.5
we need to find x by cross multipliying

so 15(x)
6(12.5)
so we get
15x= 75
now we divide 15

x= 75/15
x= 5 should be the answer

i hope it’s right
have any questions ask pls
have a great day :)

Suppose that the average speed of cars on a busy section of a local highway was normally distributed with a mean of 65 mph and standard deviation of 4 mph. What is the probability that the speed of a random car in this data set was less than 53 mph?

0.025
0.0015
0.16
0.475

Answers

Answer: Choice B) 0.0015

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

Explanation:

mu = 65 = population meansigma = 4 = population standard deviation

Let's convert x = 53 to its corresponding z score

z = (x-mu)/sigma

z = (53-65)/4

z = -12/4

z = -3

This indicates we're 3 standard deviations below the mean.

Recall that the Empirical Rule states that roughly 99.7% of the data items in a normal distribution are within 3 standard deviations of the mean. That leaves 100% - 99.7% = 0.3% outside this range. This small percentage is the combined percentage in both tails. Take half of this to find the amount in the left tail only.

(0.3%)/2 = 0.15%

This then converts to 0.0015 when we move the decimal point 2 spots to the left.

explain step by step please and thanks

Answers

Answer:

Step-by-step explanation:

5(h)=w+8. get rid of 5 by multiply

5h=w+8

w=5h-8

A cube has an edge length of 21 cm. What is the volume?
o 212 cm3
o 6 x 21 cm
o 213 cm
o 3x21 cm3

Answers

Answer:

Step-by-step explanation:

Volume = 21^3 cm^3.

The height of a triangle is 4 cm more than twice its base. The area of the triangle is 168 cm^2. What is the length of the base of the triangle?

a) 12 cm
b) 6 cm
c) 7 cm
d) 14 cm

Answers

Answer:

12cm

Step-by-step explanation:

h = 2b + 4

Area = 168 cm²

b = ?

Area = b*h / 2

168 = b (2b + 4) / 2

168 = 2b² + 4b/ 2

168 = b² + 2b

b² + 2b - 168 = 0

(b + 14) (b - 12) = 0

b = -14

b = 12

The base of a triangle cannot be -ve. So b = 12cm

At town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole number?

Answers

Answer:

the answer will be 14708

Answer:

14708

Step-by-step explanation:

Apply the formula:

Amount at time t in years =

(Starting amount)(1 + yearly per cent increase)^(Number of years) =

(13,000)(1 + 2.5%)^5 =

13000(1.025)^5 =

14708.3067676 =

14708, to the nearest whole number.

You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you

want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents

the pre-tax price of a pair of pants that you can afford if you buy the drink? *

X + 0.04x + 1.50 > 60

X + 0.04x + 1.50 2 60

X + 0.04x + 1.50 60

X + 0.04x + 1.50 60

Answers

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls

Answers

Answer:

(-0.4)²

= -0.4×-0.4

product of two negative numbers is positive

so, 0.4×0.4

=4/10×4/10

=16/100

=0.16

if x 60 and 30 find the unknown sizes of angle

Answers

Answer:

A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any missing part of the triangle. The ratio of the side lengths of a special right triangle with angles of 30, 60, 90 is 1:sqrt(3):2, while the ratio of the side lengths of a special right triangle with angles of 45, 45, 90 is 1:1:sqrt(2).

Angle A and B are complementary

m∠A= (x - 4)°

m∠B= (2x + 7)°

Can you solve this for me please!!

Answers

Answer:

Step-by-step explanation:

x-4+2x+7=90

3x+3=90

-3 -3

3x=87

x=29

m<A= 29-4

=25

Answer: $40,000 + $300x

Can you Helppp please

Answers

To have infinite solutions both equations need to be equal

Since they subtract 5 from the right side, subtract 5 from the left side.

X is multiplied by 1/2 on the left , so multiply x by 1/2 on the right side.

1/2x -5 = 1/2x-5

guys pls help me!!!!!

Answers

X should be 54 because of alternate angles
Hope this helps :)
Tell me if I’m wrong

1 4/5-1/3 divided by 2 2/5

Answers

Answer:

THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL

Step-by-step explanation:

wish you the best! gl!

Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?

18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to

Answers

Answer:

Step-by-step explanation:

28.45 >3+hgydnjsjsjjsjkso

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?

Answers

So you add 480 plus 24 in sales tax then you add 96 for the tip and if you add them all together you should get 600$

The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.

Then the cost of the sales tax will be

→ 0.05 × 480 = $24

Then the amount of the tip will be

→ 0.20 × 480 = $96

Then the total cost of the dinner will be

→ $24 + $96 + $480 = $600

More about the percentage link is given below.

https://brainly.com/question/8011401

"Unless [the three branches] be so far connected and blended

as to give to each a constitutional control over the others, the

degree of separation ... essential to a free government, can

never in practice be duly maintained." James Madison, Federalist

48

Which principle best describes what Madison is explaining?

А

checks and balances

B

popular sovereignty

С

rule of law

Answers

A checks an balance

Checks and balances

plzzzzzzzzzzzzzzzzzzz helppppp

Answers

Answer:

Step-by-step explanation:

I'm not sure, but find out the coordinates of the two points, and then find the slope between them.

Answer is 15 . But this realy not true

An isosceles triangle is shown. Which two angles must be congruent? A) ∠H ≅ ∠J B) ∠I ≅ ∠J C) ∠I ≅ ∠H D) Cannot be determined

Answers

Answer:

If the triangle has a flat bottom and a pointy top the bottom two angles are congruent

Gabriella is building a garden that is 3.6 m long by 7.77 m wide. What is the area of her garden?

Answers

Answer: 27.97 m^2

Explanation:
Area = Length x Width
Area = 3.6m x 7.77m
Area = 27.97 m^2

I need help on this 8th grade math this is due tomorrow.

Answers

Answer:

u²=6.25p²=5

Step-by-step explanation:

Raise 2.5 to the power of 2 =

6.25

Pull terms out from under the radical, assuming positive real numbers =

Please help with showing the points in the table

Answers

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

Use a number line to show your work as you find the value of each expression
a. -5 + 3.25
b.3.18+(-7)

Answers

For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

For the expression -5 + 3.25

The number line contains both negative and positive values. negative numbers are to the left of the line while positive values are to the right of the line

For -5 + 3.25, we will start from -5 and move to the right by 3.25 units as shown to have 1.75

Similarly for 3.18+(-7), we will start from 3.18 and move to the left by 7 units as shown to have -3.82

Learn more here: https://brainly.com/question/15816805

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