Two equations are given below:
x - 3y = 9
x = y - 3
Use the substitution method to find the solution of the system in the form (x, y)?
(-9,-6)
(-4,-3)
(-6,-3)
(-9,-7)
​

Answer:

£4.20

Step-by-step explanation:

Let :

Equations formed :

Multiply Equation 1 by 5 and Equation 2 by 3 :

Subtract the newly formed equations :

Finding y :

Then :

Cost of 2 kg bananas and 2 kg of apples :

Answer:

$826.28

Step-by-step explanation:

Given:

[tex]P = 600[/tex]

[tex]r = 6% or 0.06[/tex]% or [tex]0.06[/tex]

[tex]t = 6[/tex]

Work:

[tex]A=Pe^{rt}[/tex]

[tex]A=600e^{0.06*6}[/tex]

[tex]A=600e^{0.36}[/tex]

[tex]A=826.28[/tex]

Therefore, the balance after 6 year is 826.28.

Answer:

Step-by-step explanation:

E= 10/11 f=-5/9 G=4/10 H=-8/12

Answer:

Not very. The closer the value of your correlation coefficient is to 0, the weaker the correlation. Here, our correlation coefficient is only 0.089 away from 0 - in other words, there's not much correlation in the number of plagiarized assignments and the score on their final exam. If you were to plot this data on a graph, it would look like a pretty sparse "blob" of dots, where with a higher correlation, we'd expect a tighter grouping around the line of best fit. See the illustration for an example of strong/weak correlation in both negative and positive directions.

The sign of our correlation coefficient is negative, which means that generally, for what weak correlation we have, the score on the final exam goes down as the number of copied assignments go up. This makes sense - the more assignments you copy, the less you tend to retain.

Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem

Answer: Total: 10 3/4

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Violent video games should not be ban because violent video games improve your skills, there is less violence, and banning violent video games is against the fourteenth amendment. Violent video games strengthens and coordinate visual skills.

Some ideas!

Answer:

hey

Step-by-step explanation:

The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Leah is going to invest P=$30,000 and leave it in an account for t=7 years.

Put the values in the above formula to find rate of interest.

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5[/tex]

Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.

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The time taken by the two men will be equal to 26 hours

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

here two men are walking at different speeds like

v₁=6 miles per hour

v₂=10 miles per hour

The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.

t₁= {100}/{6}=16.66 hours

t₂= {100}/{10}=10 hours

total time taken will be

t₁+t₂=16.66+10=26.66 hours

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The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)

To do this, we simply make y the subject of formula.

So, we have:

[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

Simplify

[tex]\frac 5y = 7x + \frac{5}{y}[/tex]

Subtract 5/y from both sides

[tex]0 = 7x[/tex]

Rewrite as:

[tex]x = 0[/tex]

This means that the value of x is 0 irrespective of the value of y

Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]

For a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.

From the list of options, option (3) represents a one-to-many relationship.

This is so because one x value has 3 y values

Hence, the points that do not represent a function is (c)

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[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]

[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

The question can be easily solved applying trigonometry ~

We know that ,

[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]

Substituting the values in the formula of sin θ

[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]

now , we know that sin 30° = 1/2

[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]

on cross multiplying ,

[tex]\implies \: 2x = 6 \\ [/tex]

dividing both sides of the equation by 2 ,

[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]

hope helpful ~

The end behavior of the function is:

So the correct statement is the second one.

For a function f(x), the end behavior is how f(x) behaves when:

If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.

Then the end behavior is:

So the true statement is the second one.

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Answer: x= [tex]\frac{85}{27}[/tex]=x

Step-by-step explanation:

1. Add 44 to both sides.
81+4=27x

2. Simplify  81+4 to 85.

85=27x

3. Divide both sides by 27.

[tex]\frac{85}{27}[/tex]=x

4. Switch sides.
X= [tex]\frac{85}{27}[/tex]

Decimal form: 3.148148

Answer:

40

Step-by-step explanation:

Answer:

10/18 of the sweets are not mint

you can also simplify this fraction and say 5/9

Answer:

160 square inches

Step-by-step explanation:

You can split the irregular figure up into regular shapes:

the top 4x6 inch rectangle

the middle section can be a 18x6 rectangle (added 7+11 for the length)

the bottom 4x7 rectangle (sibtracted 10-6 for the width)

Then, find the area of each section with the equation A = lw.

A= 4(6) = 24 square inches

A = 18(6) = 108 square inches

A = 4(7) = 28 square inches

Add these areas up to get the total area of the irregular figure.

24 + 108 + 28 = 160 square inches

Using the Pythagorean Theorem, it is found that the rate of change of the hypotenuse is of -9.8 in/sec.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Applying implicit differentiation, the rate of change of the hypotenuse is given by:

[tex]2h\frac{dh}{dt} = 2l_1\frac{dl_1}{dt} + 2l_2\frac{dl_2}{dt}[/tex]

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]l_1 = 21, \frac{dl_1}{dt} = -7, l_2 = 28, \frac{dl_2}{dt} = -7[/tex]

[tex]h = \sqrt{l_1^2 + l_2^2} = \sqrt{21^2 + 28^2} = 35[/tex]

Hence, the rate of change of the hypotenuse, in inches per second, is given by:

[tex]h\frac{dh}{dt} = l_1\frac{dl_1}{dt} + l_2\frac{dl_2}{dt}[/tex]

[tex]35\frac{dh}{dt} = 21(-7) + 28(-7)[/tex]

[tex]\frac{dh}{dt} = \frac{21(-7) + 28(-7)}{35}[/tex]

[tex]\frac{dh}{dt} = -9.8[/tex]

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Answer:

D) Function f is odd

Step-by-step explanation:

There are three ways to solve this problem:

Method 1

Recall that a function is even if [tex]f(x)=f(-x)[/tex] and odd if [tex]-f(x)=f(-x)[/tex] for all x. Hence, we evaluate [tex]f(-x)[/tex] to check if the function is even, odd, both, or neither:

[tex]f(x)=-8x^5+4x^3+5x\\\\f(-x)=-8(-x)^5+4(-x)^3+5(-x)\\\\f(-x)=8x^5-4x^3-5x[/tex]

Here, we can see that the signs of the original terms switched to their opposite operations, so it is clear that [tex]-f(x)=f(-x)[/tex], which tells us that the function is odd.

Method 2

A function is odd if it has symmetry about the origin, and even if it has symmetry about the y-axis. We can clearly see on the graph there is origin symmetry, so the function is odd.

Method 3

A function is even if every term in that function has an even degree, or odd if every term has an odd degree. We can see that the degrees of each term are odd, so we can conclude that the function is odd.

The solution to this equation is p = -6

First degree equation is a mathematical expression and sentence, which is defined by having only one unknown. Its representation is given by: ax+b=0.

— To solve this expression, let's eliminate these square root symbols:

√-5p = √24-p

-5p = 24 - p

— Move the p term before the positive sign equality, thus also shifting the 24th term:

-5p = 24 - p

-5p + p = 24

-4p = 24

— Finally, let's divide the second to the first term of this equation:

-4p = 24

p = 24 ÷ (-4)

p = -6

Therefore, the correct result of this expression will be p = -6

Answer:

Goodluck and look at the pic

Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²

Surface area of a rectangular prism = 2(wl+hl+hw)

Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together

Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²

Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²

Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²

Surface area of the composite shape = (102 + 72) - 12 = 162m²

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Answer:

its c

Step-by-step explanation:

i took the test

Answer:   First find the GCF ( greatest Common Factor):-

GCF of  16, 24 and 48 is 8

GCF of  the x terms  is x^3

GCF of the y terms  is y^4

So GCF is 8x^3y^4

Factoring:-

= 8x^3y^4 ( 2x^6y^4  - 16x^2y^2 + 3)  answer

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

10x7=70. basically, bxh base 10 height 7

Answer:

Equation
5xP

graph:

for every 1 person Lets say its X for people
and then y for price

1,5

2,10

3,15

etc.

Ivan mixed up left and right.

He mistakenly added 3 to the x coordinate to shift the points 3 units right, when instead he should have subtracted 3 from the x coordinate to go 3 units left.

Luckily, Ivan correctly shifted the points 2 units down.

The coordinates of A' and B' should be (1,5) and (6,1) respectively.

Refer to the diagram below.

Answer:

504

Step-by-step explanation:

Answer:

1/6 = 0.17 Step-by-step explanation: