Convert the following equation
into slope intercept form.
4x + y = 9

Answer:

Total peanut=324

Step-by-step explanation:

Let the peanut=x

Philip took 1/3 of x

Remaining peanut=x-1/3x

=3x-x/3

=2/3x

Joy took 1/4 of the remaining leaving 3/4

Remaining=(3/4)(2x/3)

=6x/12

=1/2x

Brent took 1/2 of those, leaving 1/2

=(1/2)*(1/2x)

=1/4x

Preston took 10

Remaining

1/4x - 10 = 71

1/4x = 81

x=81÷1/4

=81*4/1

x = 324

Total peanut =324

Philip=1/3x

=1/3*324

=108

Remaining 324-108

=216

Joy=1/4 of 216

=54

Remaining

324-108-54=162

Brent=1/2 of 162

=81

Preston=10

Total taken=Philip+joy+Brent+Preston

=108+54+81+10

=253

Total remaining=Total peanut - total taken

=324-253

=71

Answer:

Step-by-step explanation:

[tex](g\circ f)(x) = g\big(f(x)\big)[/tex]

so:

[tex]I.\quad (g\circ f)(a)=\sqrt{f(a)}=\sqrt{a^2-4}=\sqrt{(a+2)(a-2)}\\\\II.\quad (g\circ f)(a)=2f(a)-2=2(\frac12a-1)-2=a-2-2=a-4\\\\ \bold{III.\quad (g\circ f)(a)=\sqrt{f(a)-5}-2=\sqrt{5+a^2-5}-2=\sqrt{a^2}-2=|a|-2}\\\\ IV.\quad (g\circ f)(a)=4f(a)-5=4(3-3a)-5 = 12-12a-5=-12a+7[/tex]

Answer:

Angle B is the answer

Answer:

Step-by-step explanation:

f(x)=x²-25=(x-5)(x+5)

g(x)=x-5

(f/g)(x)=(x-5)(x+5)/(x-5)=x+5;   for x≠5

D=R-{5}

Answer:

6 bananas, 24 bapples.

Step-by-step explanation:

If Omar has 4 times as many apples as bananas: then if a is the number of apples and b is the number of bananas, then:

Let's say there are b bananas

Therefore there must be 4b apples

In total that gives 5b fruit.

Therefore since there are 30 fruit in all:

5b = 30

Therefore, b = 6

And since there are 30 fruit overall, 30 - 6 = 24

So there 24 apples overall and 6 bananas.

Answer: 6 bananas, 24 bapples.

Step-by-step explanation: I’m so tired HELP MEEEEE!

Answer:

16/5

Step-by-step explanation:

xy/-5

(2)(-8)/-5

-16/-5

=16/5

Answer:

x = a + b

Step-by-step explanation:

This is a proof

Exterior angle of a triangle = Sum of Interior and opposite angles

Exterior angle of a triangle = x

Sum of Interior and opposite angles = a + b

know that

a + b + c = 180       ______1          (total sum of angles in a triangle)

x + c = 180   _______2                 (total sum of angles on a straight line)

from equation 1

c = 180 - (a + b)

from equation 2

c = 180 - x

hence

180 - (a + b) = 180 - x

180 - 180 + x = a + b

x = a + b

Answer:

This function s a linear relationship because this function increases about a consistent slope. The equation is 2x+5, where 2 is the slope.

Step-by-step explanation:

Answer:

Option b

Step-by-step explanation:

To represent this proportion using fractions, let the numerators be the number of waffles sold and denominator, the number of sugar cones.

Thus, the proportion that can be used to represent the cone sales is

14/6 = 7/3

Answer:

BBBBBB

Step-by-step explanation:

Answer:

3rd degree

Step-by-step explanation:

The highest exponent is a 3, meaning this is a 3rd degree polynomial.

Answer:

Solution,

[tex] \frac{24 {x}^{2} + 25x - 47}{ax - 2} = - 8x - 3 - \frac{53}{ax - 2} \\ \frac{24 {x}^{2} + 25x - 47 }{ax - 2} = \frac{( - 8x - 3)(ax - 2) - 53}{ax - 2} \\ 24 {x}^{2} + 25x - 47 = - 8a {x}^{2} + (16 - 3a)x - 47 \\ [/tex]

Equating coefficients from both side:

[tex] - 8a = 24 \\ a = \frac{ 24}{ - 8} \\ a = - 3[/tex]

Hope this helps..

good luck on your assignment..

Answer:

-3

Step-by-step explanation:

Lucky guess?

Answer:

Step-by-step explanation:

You have to use the Law of Cosines here to solve for C. For us the equation will take on the form

[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:

[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to

144 = 784 + 324 - 1008cosC.  Simplify a bit more to

144 = 1108 - 1008cosC. Subtract 1108 from both sides to get

-964 = -1008cosC. Divide both sides by -1008 to get

.9563492063 = cosC

Press the 2nd button and then the cos button on your calculator. You should see this on your screen:

[tex]cos^{-1}([/tex]

After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!

Answer:

Mean = 0.38082 checks per day

Variance = 0.38082

Standard deviation = 0.61711

Step-by-step explanation:

In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.

A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

[tex]E(x)=\mu=\frac{139}{365}\\ \mu=0.38082\ checks/day[/tex]

Therefore, the variance and standard deviation are, respectively:

[tex]V=\mu=0.38082\\\sigma=\sqrt{V}=\sqrt{0.38082}\\ \sigma =0.61711[/tex]

Answer:

4:11 = french : no french

Step-by-step explanation:

the ratio of thosenwho have french:

2/3 * 2/5 = 4/15

and the ratio of those who dont:

1-4/15= 11/15

and one ratio against another:

4/15 : 11/15 = 4:11 = with french : those without

Answer:6 1/2

Step-by-step explanation:1/2+3 1/2+2 1/2

Add all the halves (1/2)

1/2+1/2+1/2=1 1/2

Then add the 3 and 2 in front of the fraction.

3+2=5

So, 1 1/2+5=6 1/2

Answer:

6 1/2

Step-by-step explanation:

3+2=5

1/2+1/2=1

5+1=6

6+1/2=6 1/2

Answer:

f(4) = 3

x = -1

Step-by-step explanation:

Line graphed shows a linear function.

Since this line passes through two points (4, 3) and (-1, 4)

Let the function is,

f(x) = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

               = [tex]\frac{4-3}{-1-4}[/tex]

               = [tex]-\frac{1}{5}[/tex]

f(x) = [tex]-\frac{1}{5}x+b[/tex]

Since a point (4, 3) lies on the line,

f(4) = [tex]-\frac{1}{5}(4)+b[/tex]

3 = [tex]-\frac{4}{5}+b[/tex]

b = 3 + 0.8

b = 3.8

Therefore, f(x) = -0.2x + 3.8

For x = 4

f(4) = -0.2(4) + 3.8    

     = -0.8 + 3.8

     = 3.0

For f(x) = 4

4 = -0.2x + 3.8

0.2x = 3.8 - 4

x = [tex]\frac{-0.2}{0.2}[/tex]

x = -1

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

The answer is 101

Step-by-step explanation:

3⁴ is 81, then multiply 4 by 5. Add the two answers together and get 101

Step-by-step explanation:

Reflexive property

Reflexive property

AA similarity-  if two pairs of corresponding angles are congruent, then the triangles are similar

Answer:

Reflexive property

Reflexive property

AA similarity- if two pairs of corresponding angles are congruent, then the triangles are similar same thing he said pretty much

Step-by-step explanation:

Answer:

e.29 d.1

Step-by-step explanation:

we will replace with the values we have :

Answer:

y = -4x + 15

Step-by-step explanation:

slope = (-1 -7)/(4-2) = -8/2 = -4

y = mx + b

7 = -4(2) + b

15 = b

y = -4x + 15

Answer:

[tex]\boxed {\red {0.035m}}[/tex]

Step-by-step explanation:

[tex]1m = 100cm \\ x = 3.5cm[/tex]

[tex]use \: \: cross \: \: multipication[/tex]

[tex]3.5 \times 1 = 100 \times x \\ 3.5 = 100x \\ \frac{3.5}{100} = \frac{100x}{100} \\ x = 0.035m[/tex]

Answer:

36

Step-by-step explanation:

Area of a square is s² , where 's' is the side length.

For a square of side length = 6 cm ,

The area = (6 cm)² = 36 cm²

* Why did your teacher say that you should not include units in your answer?

Anyway, the area without units is 36 .

Answer:

3rd option

Step-by-step explanation:

The ratio of 1:3 mean that one part is 1 to the other part being 3.

That means the total is 1 + 3 = 4.

1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.

Answer: 3rd option

Answer:

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

Step-by-step explanation:

I like to call the numbers in the ratio 1 : 3 "ratio units".

That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).

_____

Coment on the answer wording

I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".

In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."

Answer:

Area = 147.03 cm²

Step-by-step explanation:

Area of parallelogram = [tex]Base*Heigth[/tex]

Where base = 16.9 cm, Height = 8.7 cm

Area = 16.9*8.7

Area = 147.03 cm²

Answer:

147.03 square cm

Step-by-step explanation:

[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]

Answer: 19 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.  

Replacing with the values given:  

x^2 = 6^2 + 18^2  

x^2 = 36+324

x^2 = 360

x = √360

x = 18.97miles = 19 miles

Feel free to ask for more if needed or if you did not understand something.  

Answer:

In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up

We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91

So we have for base 5

1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200

We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5

Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed

at 34 the next  40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100

At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200

Base 2

In base 2 we have;

1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010

We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5

So we need to still have an idea of the number system just as we did for base 10

Step-by-step explanation:

Answer:

1 3/5 = 8/5

.2=2/100

Step-by-step explanation:

make an equality:

x/(8/5)=2/100

it kinds looks weird on here but write it out on paper

then cross multiply:

100x=(2)(8/5)

100x=16/5

now divide each side by 100:

x=4/125

same for the second one:

make an equality:

x/2=2/100

cross multiply:

100x=(2)(2)

100x=4

x=1/25

Answer:

For the first equation

Twice a number added to a smaller number is 5 is written as

2x + y = 5

For the second equation

The difference of 5 times the smaller number and the larger number is 3 is written as

x - 5y = 3

Hope this helps you

Answer:

I think that its d

Step-by-step explanation:

Answer:

140°

Step-by-step explanation:

[tex] m \angle \: 2 = \frac{1}{2} \times \bigg(133 \degree + 147 \degree \bigg) \\ \\ m \angle \: 2 = \frac{1}{2} \times 280 \degree \\ \\ \huge \red { \boxed{m \angle \: 2 = 140 \degree }}[/tex]