Someone help me with #2 and #3

The input value for which f(x) = g(x) is true is -1

The formula for calculating the equation of a line is expressed as:

[tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

For table 1,

Get the slope:

[tex]Slope=\frac{3-3}{3-2}\\Slope =\frac{0}{1} \\Slope =0[/tex]

Use the coordinate (-2, 3) and m = 0 to get the value of "b"

[tex]y=mx+b\\3 = 0(-2) + b\\b = 3[/tex]

The required function for table 1 is f(x) = 3

For table 2:

Get the slope:

[tex]Slope=\frac{0-1}{3-2}\\Slope =\frac{-1}{1} \\Slope =-1[/tex]

Use the coordinate (-2, 4) and m = -1 to get the value of "b"

[tex]y=mx+b\\4 = -1(-2) + b\\b = 4-2\\b=2[/tex]

The required function for table 2 is g(x) = -x + 2

If the function f(x) = g(x), hence:

-x + 2 = 3

-x = 3 - 2

-x = 1

x = -1

Hence the input value for which f(x) = g(x) is true is -1

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Answer: -1

Step-by-step explanation:

Answer: a = 12, b = 2, c = 11

Step-by-step explanation:

Using exponent rules we can distribute the exponent of 3 to the xyz.

This results in the numerator now being. [tex]x^{5*3}+y^{1*3}+z^{4*3}\\[/tex] This can be simplified to, [tex]x^{15}y^{3}z^{12}\\[/tex].

Now divide the numerator by the denominator subtracting the exponents.

Which equals, [tex]x^{12}y^{2}z^{11}[/tex]

So a = 12

b = 2

and

c = 11

The values of [tex]a, \ b,\ c[/tex] are  [tex]12,\ 2,\ 11[/tex] .

Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.

We have,

[tex]\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c[/tex]

Now simplify the above given equation;

[tex]\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c[/tex]

[tex]\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c[/tex]

Now, Using the exponent rule;

[tex]\frac{a^n}{a^m} = a^{n-m}[/tex]

So,

[tex](x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c[/tex]

[tex](x^{12}y^{2}z^{11})=x^ay^bz^c[/tex]

Now,

As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;

⇒    [tex]x^{12}=x^a[/tex]

       [tex]a=12[/tex],

And, [tex]y^2=y^b[/tex]

         [tex]b=2[/tex]

And, [tex]z^{11}=z^c[/tex]

         [tex]c=11[/tex]

So, the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] which are find out using the  exponent rule.

Hence, we can say that the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .

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Answer:

[tex] 30\: m^2 [/tex]

Step-by-step explanation:

For triangle:

Base = (4 + 3 +1) m = 8 m

Height = 9 m

For rectangle:

Length = 3 m

width = 2 m

Area of shaded region = Area of triangle - Area of rectangle

[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]

Answer:

a≤39/5

Step-by-step explanation:

60a - 80a ≥ -64 -92

-20a≥-156

a≤156/20

a≤39/5

Answer:

(10, - 20 )

Step-by-step explanation:

Given the 2 equations

y = - 5x + 30 → (1)

x = 10 → (2)

Since the value of x is given substitute x = 10 into (1) for y

y = - 5(10) + 30 = - 50 + 30 = - 20

Solution is (10, - 20 )

Answer:

(10, -20)

Step-by-step explanation:

y = –5x + 30

x = 10

------

x=10 ⇒ y= -5*10+30= -20

Then solution is (10, -20)

Answer:

a. Probability of Pulling one of each = 0.03175

b. Probability of Pulling 4 Honey Crisp = 0.001797

Probability of 2 G.Smith = 0.1144

Probability of 1 Red Delicious = 0.4559

Step-by-step explanation:

Given

Granny Smiths = 23

Honey Crisp = 14

Red Delicious = 31

Required

- Probability of Pulling out one of each

- Probability of Pulling out 4 Honey Crisp; 2 Granny Smiths; 1 Red Delicious

First, the total number of apple needs to be calculated.

Total = Granny Smiths + Honey Crisp + Red Delicious

Total = 23 + 14 + 31

Total = 68

Probability of Pulling 1 of each

= P(Granny Smiths) and P(Henry Ford) and P(Red Delicious)

- Granny Smiths;

This is calculated by dividing number of Granny Smiths apples by total number of apples.

Probability = 23/68

Similarly,

Probability of Pulling Honey Crisp= Number of Honey Crisp divided by total

Probability = 14/68

Probability = 7/34

Probability of Pulling Red Delicious = Number of Red Delicious divided by total

Probability = 31/68

So, Probability of Pulling 1 of each = 23/68 * 7/34 * 31/68

Probability = 4991/157216

Probability = 0.03175

Probability of Pulling out 4 Honey Crisp;

= P(Honey) * P(Honey) * P(Honey) * P(Honey)

= (P(Honey))⁴

= (7/34)⁴

= 2401/1336336

= 0.001797

Probability of Pulling 2 Granny Smiths;

= P(Granny) * P(Granny)

= (P(Granny))²

= (23/68)²

= 529/4624

= 0.1144

Probability of 1 Red Delicious

= number of red delicious divided by total

= 31/68

= 0.4559

Answer:

We know that y is a function of x because for each x-coordinate there is exactly one y-coordinate. If we draw a vertical line across the plot of the function, it only intersects the function once for each value of x. That is true no matter where the line is drawn.

Step-by-step explanation:

hope this helps you :)

Answer:

Its Las sillas son nuestras

Step-by-step explanation:

On Edge 2021

Answer:

nuestras

Step-by-step explanation:

Answer:

40 square feet tiles.

Step-by-step explanation:

It may help to have a visual. Anyways, if the countertop contains 40 square feet, that means the area is 40 square feet. Keep in mind that 12 inches = 1 foot. So if we have 1 foot squared tiles and we need to find how many tiles it takes to cover the countertop, we use division. 40 square feet ÷ 1 square feet tiles = 40 square feet tiles.

Answer:

It would take 40

Step-by-step explanation:

12 inches = 1 foot

1 foot by 1 foot square tiles

And 40 square feet so

1 x 40 = 40

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

it's 2 because it's the smallest number

Answer: First option

Step-by-step explanation:

Answer:

The correct answer is A. 8 feet by 4 feet by 3 feet & E. 3 feet by 5 feet by 7 feet

Step-by-step explanation:

Hope this helps! Have a great rest of your day/night! :)))

Answer:

108

Step-by-step explanation:

Mike's current age, be M

Then Brandon's is: M - 27

Also, M = 4(M - 27)

M = 4M - 108

M - 4M = - 108

- 3M = - 108

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know that a^ b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Now rewriting 16 as 2^4

2^4^3/4

2 ^ (4*3/4)

2^3

8

Answer:

13

Step-by-step explanation:

We were already given the formula and were left with [tex]169 = c^2[/tex].

To find c we would find what by itself equals 169.

We know [tex]12 * 12[/tex] is 144

so its greater than 12

we also know that 13 * 13 is 169

so c would be equal to 169

Answer:

A

Step-by-step explanation:

18%=18/100=0.18

0.18*30.80=5.544 or about $5.50. Hope this helps!

Answer:

x(3+4)=4(x+3), (x+2)+5(x-1)=3(x+3)

Step-by-step explanation:

x(3+4)=4(x+3)

3x+4x=4x+12

7x=4x+12

Subtract 4x by both sides

3x=12

Divide 3 by both sides to get x=4

4x+5=3(x+2)

4x+5=3x+6

Combine Like terms

1x+5=6

Subtract 5 from both sides

x=1

(x+2)+5(x-1)=3(x+3)

x=4

Answer:

a is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because -4 4/5 is FAR below 4 2/5

Answer:5 milllion

And the minimum is 25

Step-by-step explanation:

Answer:

a = 17 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 45 = 17/a

Multiply each side by a

a sin 45 = 17

Divide each side by sin 45

a = 17 / sin 45

a = 17 / ( 1 / sqrt(2))

a = 17 sqrt(2)

Answer:

I think the awnser should be A

Answer:

The answer to this question can be described as follows:

Step-by-step explanation:

Given equation:

[tex]\bold{0.5x-7= \sqrt{(-5x+29)}}[/tex]

As in the given question the two ways to solve the equation can be defined as follows:

First way:

Let square the above-given equation then we will get:

[tex]\to (0.5x-7)^2= (\sqrt{(-5x+29)})^2\\\\\to (0.5x)^2 +7^2-2\times 0.5x\times 7= -5x+29\\\\\to 0.25x^2 +49- 7x= -5x+29\\\\\to 0.25x^2 - 7x+5x +49-29=0\\\\\to 0.25x^2 - 2x+20=0\\\\[/tex]

The calculated equation doesn't have any like term that's why it can't be factorised.

Second way:

after calculating the equation that is [tex]0.25x^2-2x+20=0[/tex], it graph is given in attachment please find.

Answer:

The principal, real, root of:

²√7.937005259841 = 2.81726911

All roots:

2.81726911

−2.81726911

7.937005259841 is not a perfect square

Step-by-step explanation:

side length a = 7.937005259841 ft

face diagonal f = 11.224620483094 ft

solid diagonal d = 13.747296369986 ft

surface area S = 377.97631496846 ft2

volume V = 500 ft^3

Answer:

She invested $30,000 at 9%

Step-by-step explanation:

Let the amount invested per percentage be $x and $y respectively

Total investment is 40,000

This means that;

x + y = 40,000 ••••••••••(i)

Now for her income;

9/100 * x = 9x/100

for the 12% = 12/100 * y = 12y/100

Now;

9x/100 + 12y/100 = 3,900

9x + 12y = 390000 •••••••••(ii)

we solve both simultaneously

From i, y = 40,000-x

Substitute this into ii

9x + 12(40,000-x) = 390,000

9x + 480,000-12x = 390,000

3x = 480,000-390,0000

3x = 90,000

x = 90,000/3

x = $30,000

Answer:

0 degrees?

Step-by-step explanation:

It looks perfectly even to me

Answer:

The answer is 4:21

Step-by-step explanation:

Answer:

250.5 - 35m = 300 - 45.25m

Complete question:

Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

250.5 + 35m = 300 + 45.25m

250.5 – 35m = 300 – 45.25m

250.5m – 35 = 300m – 45.25

250.5m + 35 = 300m + 45.25

Step-by-step explanation:

For The International Business Club: y = 250.50 - 35m,  

For The Future Agricultural Leaders Club: y = 300 - 45.25m.

So the answer is 250.5 - 35m = 300 - 45.25m

250.5 – 35m = 300 – 45.25m

Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25

So, the equation would be 250.5 – 35m = 300 – 45.25m

Answer: 4

Step-by-step explanation:

6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.

Answer:

2/12

Step-by-step explanation:

because when u multiple 2×6=12

so when u get 12 u think of multiplying it by 2 ,

2×2=4

Answer:

(3) 2-8-4

Step-by-step explanation:

Sulphur has an atomic number of 16

sulphur can exist in 3 different excited states of +2, +4 and +6

electronic configuration of sulphur is 2,8,6

when excited, it loses 2 electrons to enter the +2 state

in the +2 state, the electronic configuration will be 2,8,4