Ariel bought nuts at the grocery store to make trail mix for her nature club. She spent a total of $23.50 on almonds and cashews. She bought 1.5 pounds of almonds at $6.50 per pound. If cashews cost $5.50 per pound, how many pounds of cashews did she buy?

Answer:

it is a many to one function:)

Step-by-step explanation:

The statement which best describes the function F(x)=2x^2-3x+1 is it is a many to one function.

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

f(x) = x2 shows us that function "f" takes "x" and squares it. Example: with f(x) = x2: an input of 4. becomes an output of 16.

Learn more about piecewise function at https://brainly.com/question/27262465

#SPJ2

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]

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:

see below

Step-by-step explanation:

12(80 – x) = 816

Divide each side by 12

80-x = 816 /12

80-x = 68

Subtract 80 from each side

80-x-80 = 68-80

-x = -12

Multiply each side by -1

x = 12

James earned 80-12 = 68

Answer:

Which strategies will verify that the value for x is correct? Check all that apply.

Substitute 12 for x in the equation.

Multiply $68 by 12 months.

Step-by-step explanation:

B and C

the second and third one.

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:

16/5

Step-by-step explanation:

xy/-5

(2)(-8)/-5

-16/-5

=16/5

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:

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:

length is 14

diagonal is 19.8

Step-by-step explanation:

To find the length of the side of the square, what we need to do is to use the height 12 in each triangle to find the length of the adjacent in each triangle and add together.

Mathematically we can find the length of this adjacent using the Pythagoras theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Applying this to each of the 2 triangles but summing the answer;

The length l is as follows;

Let’s call the adjacent fir each side of the triangle a and b but the addition being l

a^2 = 15^2 - 12^2 = 225-144 = 81

a^2 = 81

a = 9

b^2 = 13^2 -12^2

b^2 = 169-144

b^2 = 25

b = 5

l = a + b = 9 + 5 = 14

The diagonal can also be calculated using pythagoras’

d^2 = 14^2 + 14^2

d^2= 196 + 196

d^2 = 392

d = √(392)

d = 14√2 = 19.8

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:

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:

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:

[tex](A) y=1.5[/tex]

[tex](B)x=\dfrac27[/tex]

[tex](C)x=2\dfrac23[/tex]

[tex](D)x=-5.25[/tex]

Step-by-step explanation:

(A)

[tex]3y - 2 = - y + 4\\3y+y=4+2\\4y=6\\y=\dfrac64\\\\y=1.5[/tex]

(B)

[tex]5 - 4x = x + 3 + 2x\\5 - 4x = 3 +3x\\5-3=3x+4x\\7x=2\\x=\dfrac27[/tex]

(C)

[tex]-12 - 9x = - 4 - 12x\\-9x+12x=-4+12\\3x=8\\x=\dfrac83\\\\x=2\dfrac23[/tex]

(D)[tex]- x - 6 + 3x = -2x + 8x + 15[/tex]

[tex]2x-6 = 6x + 15\\2x-6x=15+6\\-4x=21\\x=\dfrac{21}{-4} \\\\x=-5.25[/tex]

(V.O.A) means vertically opposite angle.

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:

slope m=1/7

Step-by-step explanation:

x-7y=-6

-7y=-x-6

y=-x/-7 -6/-7

y=1/7 x+6/7

Answer:

The area of the image is 2,070.25 cm^2

Step-by-step explanation:

The first thing we do here is to scale up the square using the factor given.

Thus, for a length of 14 cm scaled up by 3.25, the new length becomes 14 * 3.25 = 45.5 cm

Mathematically, the area of the square is L^2

where L in this case is 45.5 cm

The area of the scaled up square would be 45.5 * 45.5 = 2,070.25 cm^2

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:

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:

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: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:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

From the information given,

Sample proportion, p = 65/100 = 0.65

q = 1 - 0.65 = 0.35

n = 200

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Margin of error = 1.96√(0.65)(0.35)/200

Margin of error = 0.066 = 6.6%

The maximum boundary of the interval is

0.65 + 0.066 = 0.716

Explanation:

The vertex of a parabola is either the highest point or the lowest point, depending on how the parabola is oriented. In this case, it is the lowest point.

For the red f(x) curve, we see the vertex is (0,0)

The blue g(x) curve has its vertex at (3,1)

In general, the vertex is represented by (h,k)

For the blue curve, (h,k) = (3,1) so h = 3 and k = 1 pair up together

We will plug those values along with a = 1 into the vertex form below

y = a(x-h)^2 + k

y = 1(x-3)^2 + 1

y = (x-3)^2 + 1

The blue curve is the result of shifting the red curve 3 units to the right and 1 unit up. No vertical stretching or compressing has been applied, which is why a = 1 stays the same.

Answer:

Angle B is the answer

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:

x=-20 or x=68

Step-by-step explanation:

you can either make it so 47 remains the largest number and so take 67 from 47 (=-20) or you can leave 1 as the smallest number and add 67 to 1 (=68)

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:

e.29 d.1

Step-by-step explanation:

we will replace with the values we have :

Answer:

PEMDAS DAT

Step-by-step explanation: