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Answer:

x = 400

y = 1000

Step-by-step explanation:

Step 1

mult by the first equation by 2

15x + 2y = 4000                          ....... x 2

30x + 4y = 8000

the second equation is

10x = 4y

=

10x - 4y =0

then subtract the second equation from the first one

30x + 4y = 8000

- (minus)

10x  -  4y = 0

the you will get

20x = 8000

x = 8000/20  = 400

then you will substitute value of x in any the give equation to work out the value of y

Step-by-step explanation:

1) x³+3x²-4x-12=x²(x+3)-4(x+3)=(x²-4)(x+3)=(x-2)(x+2)(x+3).

2) zeros of the given functions are: -3; -2; 2.

Answer:

Step-by-step explanation:

760·0.5^(t/9) = 19

0.5^(t/9) = 19/760

2^(-t/9) = 0.025

-t/9 = log₂(0.025)

t = -9log₂(0.025) = 47.9 minutes

Answer:

47.9 minutes

Step-by-step explanation:

Answer:

50 miles per hour

Step-by-step explanation:

Just divide 350 by 7

Answer:

You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5

Step-by-step explanation:

Answer:

At t=2s the car  reach its minimum speed

Minimum speed=8m/s

Step-by-step explanation:

We are given that velocity of car

[tex]v(t)=t^2-4t+12[/tex]

0<t<4

Differentiate w.r.t t

[tex]v'(t)=2t-4[/tex]

[tex]v'(t)=0[/tex]

[tex]2t-4=0[/tex]

[tex]2t=4[/tex]

[tex]t=2[/tex]

[tex]v''(t)=2>0[/tex]

The velocity is minimum at t=2 s

Substitute t=2

[tex]v(2)=2^2-4(2)+12[/tex]

[tex]v(2)=8m/s[/tex]

Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s

Answer:

1.) 3

2.) 15

3.) 12

4.) 12

5.) 5

6.) 6

7.) 7

Answer:

[tex]New = -92\frac{1}{8}[/tex]

Step-by-step explanation:

Given:

[tex]x = -75\frac{3}{4}[/tex] --- Position

[tex]\triangle x = -16\frac{3}{8}[/tex] --- Change

Required

Find the new position

The new position is calculated as:

[tex]New = x + \triangle x[/tex]

[tex]New = -75\frac{3}{4} - 16\frac{3}{8}[/tex]

[tex]New = -75.75 - 16.375[/tex]

[tex]New = -92.125[/tex]

[tex]New = -92\frac{125}{1000}[/tex]

[tex]New = -92\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

49 - 20

19

hope it helps u

Answer: 29

Explanation: PEMDAS is

P=Parentesis

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

That's the oder of operations then it's -5×4=-20 and then 17+32=49 and 49-20=29

Answer:

150 half chicken and 250 full chicken

Step-by-step explanation:

Represent whole chicken with w and half chicken with h.

So, we have:

[tex]Total = 400[/tex]

Which implies that:

[tex]w + h = 400[/tex]

Also:

[tex]Amount =\$4200[/tex]

Which implies that:

[tex]12w + 8h = 4200[/tex]

So, we are to solve for h and w from:

[tex]w + h = 400[/tex]

[tex]12w + 8h = 4200[/tex]

Make h the subject in the first equation

[tex]h = 400 - w[/tex]

Substitute 400 - w for h in the second equation

[tex]12w + 8(400 - w) = 4200[/tex]

[tex]12w -8w + 3200 = 4200[/tex]

[tex]12w -8w =- 3200 + 4200[/tex]

[tex]4w =1000[/tex]

[tex]w = 250[/tex]

Recall that:

[tex]h = 400 - w[/tex]

[tex]h = 400 - 250[/tex]

[tex]h =150[/tex]

Answer:

(4(f(2)

Step-by-step explanation:

If f(x(=3x-1 then f(3)f(2)

Answer:

The Pythagorean theorm is c=a2+b2

Step-by-step explanation:

Answer:

the pythagorean theorm is a² + b ² = c ²

Step-by-step explanation:

Answer: 5%

Step-by-step explanation:

If 20 = 100% , 1 = 5%

20 - 19 = 1

So the percent of decrease = 5%

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark my answer brainliest!

The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Anthony reads 1/2 chapter of his science book each night.

He has 4 chapters left to read.

[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Answer:

[tex]\displaystyle d = 4\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3x(3xy + 4y^²).

Step-by-step explanation:

Mskqkkqkaak

Answer:

C/3rd

Step-by-step explanation:

Answer:

-212800

Step-by-step explanation:

7.2 × 10³ = 7.2 × 1000 = 7200

2.2 × 10 to the power 5 = 2.2 × 100000 = 220000

7200 - 220000 = -212800

Answer:

$49.95 ; 50% ; 33.33%

Step-by-step explanation:

1.)

Markup % = 11%

Purchase price = $45

Selling price will be :

(100 + 11)% * $45

1.11 * $45 = $49.95

2.)

Purchase price = $2.50

Selling price = $3.75

Markup % :

Profit / purchase price * 100%

[(3.75 - 2.50) / 2.50)] * 100%

1.25 / 2.50 * 100%

0.5 * 100% = 50%

3.)

Purchase price = $3.75

Selling price = $5.00

Markup % :

Profit / purchase price * 100%

[(5.00 - 3.75) / 3.75)] * 100%

1.25 / 3.75 * 100%

0.3333 * 100% = 33.33%

Answer:

rational

Step-by-step explanation:

it's an decimal from above

Answer:

Slope = -3.5

Step-by-step explanation:

Find the slope using any two given pair of values. Let's use (6, -21) and (12, -42).

Slope = ∆y/∆x

Slope = (-42 -(-21)) / (12 - 6)

Slope = -21/6

Slope = -3.5

Answer:

Commutative

Step-by-step explanation:

because both sides contain 4.3 + g in any order.

Answer:

this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.

Step-by-step explanation:

I hope this helps! ^^

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Answer:

Exponential

Step-by-step explanation:

Exponential describes a very rapid increase. An exponential rise in the number of first graders with head lice might be a result of all the hat sharing that's gone on lately.

Exponential is also a mathematical term, meaning "involving an exponent." When you raise a number to the tenth power, for example, that's an exponential increase in that number. When your next door neighbor describes the exponential growth of her rose bushes or the exponential increase in members of her book group, she means that there's been a sharp, fast expansion of both things.

Answer:

5/3

Step-by-step explanation:

The slope is the rise over run or the change in y over the change in x. One way to find the slope is through the formula, which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. To use this simply plug in the two points. In this case, the expression would be [tex]\frac{10-5}{8-5}[/tex]. This simplifies down to 5/3.

Answer:

The sample mean will approach 76

Step-by-step explanation:

Refer to Law of large numbers (LLN) and the central limit theorem (CLT)

For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞

Answer:

NO SE PERO LOS AMO A TODOS CHIKISTRIKIS

Step-by-step explanation:

SORRY NO SPEAK ENGLISH

Answer:

approx 54.94

Step-by-step explanation:

area of square is 16^2=256

area of circle is pi(8^2)= approx 201.06

256-201.06=54.94

Answer:

[tex] 55.04 \: {cm}^{2} [/tex]

Step-by-step explanation:

Side length of square = 16 cm

Diameter of circle = Side of square = 16 cm

Radius of circle = 16/2 = 8 cm.

Area of the shaded region =

Area of square - Area of circle

[tex] = {16}^{2} - \pi\times {8}^{2} \\ \\ = 256 - 3.14 \times 64 \\ \\ = 256 - 200.96 \\ \\ = 55.04 \: {cm}^{2} [/tex]