Zoey and her children went into a grocery store where they sell apples for $2.25 each and bananas for $1.50 each. Zoey has $15 to spend and must buy a minimum of 7 apples and bananas altogether. Let x represents the number of apples purchased and y represents the number of bananas purchased so :

Zoey can buy ____ apples and _____bananas or

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The discriminant is ...

  b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

_____

The complex solutions are 1±i√7.

If we assume the equation has a typographical error and is intended to be ...

  2x^2 -4x -16 = 0

The solutions are x = -2 and x = 4.

Step-by-step explanation:

-3+3i-2+3i

-5+6i

Hope that helps you

Answer:

B

Step-by-step explanation:

4 units to the left is subtracting

10 units down is subtracting too

hope this helps

Answer:

4

Step-by-step explanation:

25% is the same as 1/4.

1 is 1/4 of what number?

Answer: 4

You can also answer it with an equation.

Let x = the number you are looking for.

1 is 25% of x can be written as the following equation.

25% of x = 1

0.25x = 1

Multiply both sides by 4.

x = 4

Answer: 4

Answer:0

Step-by-step explanatio cuz 2x7 is 14 14-14 is 0 and 0+0 is 0 so its 0

Answer:

262,144

Step-by-step explanation:

You just need to plug in the values given for x and y.

[tex]2^{3(6)}[/tex]

Once you put that into the calculator, you get 262,144.

If you only need the simplified answer, it is [tex]2^{18}[/tex]

Answer:

262,144

Step-by-step explanation:

First, what we know:

y= 2

x= 6

I multiplied 3x (3⋅6) which gave me 18.

I then raised 2 to 18, which gave me 262,144.

Answer:D

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

6(4) - 1

24 - 1

23

......

Answer:

100 quart containers

Step-by-step explanation:

there are 4 quarts in 1 gallon

there are 100 quarts in 25 gallons

so...

Answer:

3x + y = 20 and x - 2y = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

Given

3x + y = 17 ( subtract 3x from both sides )

y = - 3x + 17 ← in slope- intercept form

with slope m = - 3

Para;;el lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 3x + 20 ← in slope- intercept form

Add 3x to both sides

3x + y = 20 ← in standard form

--------------------------------------------------------

(b)

Given

y + 2x = 13 ( subtract 2x from both sides )

y = - 2x + 13 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 1 + c ⇒ c = 3 - 1 = 2

y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = x + 4

x - 2y = - 4 ← in standard form

Answer:

I'm going to also give you how to get the answer... not just the answer.. you will need to know this for a test :/  so learn it  :P

Step-by-step explanation:

Sin(30)=12

to remember what Sin and Cos at those speacial angles in degrees are.. just use this Sin(degrees)

Sin(0) = 0/2         =0

Sin(30)= [tex]\sqrt{1}[/tex]/2         = 1/2

Sing(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Sin(60)=[tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Sin(90)=[tex]\sqrt{4}[/tex]/2    = 1

Cos is exactly the same but counts backwards from 90°

Cos(90) = 0/2         =0

Cos(60) =  [tex]\sqrt{1}[/tex]/2         = 1/2

Cos(45) = [tex]\sqrt{2}[/tex]/2    = [tex]\sqrt{2}[/tex]/2

Cos(30) = [tex]\sqrt{3}[/tex]/2   = [tex]\sqrt{3}[/tex]/2

Cos(0) =[tex]\sqrt{4}[/tex]/2    = 1

note that the numerators just count from  0,1,2,3,4  , see?  you can remember sin and cos  now  :)   since you can count to 4   :P

Sin(30) =12

1/2 =12  while that statement makes no sense....  obviously 1/2 isn't equal to 12 but.. what's being said is that the angle of 30°  gives you a side that is 12 units long.  

so looking at what I wrote above.. which angle in degrees matches Sin when you look at Cos?  

Sin(30)= 1/2 and Cos(60) also = 1/2  huh

sooo  β = 60 °

got it?  :/

Answer:

Part A

The proof of the conditions for similarity is presented as follows;

If           ∠O ≅ ∠V;   [tex]\dfrac{OJ}{AL} = \dfrac{OY}{FA}[/tex]

Then     ΔJYO ~ ΔLFA by SAS similarity theorem

Part B

If           ∠A ≅ ∠U;   [tex]\dfrac{AR}{US} = \dfrac{AY}{UN}[/tex]

Then     ΔRAY ~ ΔSUN by SAS similarity theorem

Step-by-step explanation:

By the Side-Angle-Side SAS similarity theorem, If a triangle that have two of its sides proportional to two sides of another triangle and the included angle between the proportional sides in both triangles are congruent the two triangles are similar

Answer:

The product of the first and last digits is 40.

Step-by-step explanation:

Multiple of 4 rule:

The last two digits must form a number that is divisible by 4.

Multiple of 11 rule:

We find the alternate sum of the digits, and it must be divisible by 11.

A SECRET CODE has 5 digits. The middle 3 digits are 926

So the code is

x926y

Divisible by 4:

This means that the 6y must be divisible by 4, which means that the possible values of y are 0, 4, 8.

Value of x when y = 0:

x9260

x - 9 + 2 - 6 + 0 = x - 13

It will be divisible by 11 when x - 13 = 22, that is, x = 9. However, the digit 9 is already used, which means that y = 0 is not a possible option.

Value of x when y = 4:

x9264

x - 9 + 2 - 6 + 4 = x - 9

It will be divisible by 11 when x - 9 = 0, that is, x = 9, which is not possible, as we saw above. Or

x - 9 = 11

x = 2

The digit 2 is also possible, so y cannot be 4.

Value of x when y = 8:

x9268

x - 9 + 2 - 6 + 8 = x - 5

x - 5 = 0 -> x = 5

So, the number is:

59268

What is the product of the first and last digits?

5*8 = 40

The product of the first and last digits is 40.

Answer:

in 2.5 hours the bird will fly 150 miles

Step-by-step explanation:

take 60 mins and divide it into 4(=15) take 15 and multiply it by 10 leaving 150 miles in 2hours and 30 minutes

Answer:

11%/ 0.11

Step-by-step explanation:

I=prt

154=700*x*2

154=1400x

divide 1400 by both sides

=0.11

or 11%

Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

The graph that represents [tex]2x + 3y > -3[/tex] is (3)

The inequality is given as:

[tex]2x + 3y > -3[/tex]

Subtract 2x from both sides of the inequality

[tex]3y > -3 -2x[/tex]

Divide through by 3

[tex]y > -1 -\frac 23x[/tex]

Rewrite the inequality as follows:

[tex]y > -\frac 23x-1[/tex]

The above inequality means that:

Hence, the graph that represents [tex]2x + 3y > -3[/tex] is (3)

Read more about inequalities at:

https://brainly.com/question/234674

Answer:

A) 2nd quadrant

B) 2th quadrant

Step-by-step explanation:

hope this helps have a nice day!!

Answer:

Step-by-step explanation:

open circle on -4 and open circle on 4 and a line connecting them

Answer:

42%

Step-by-step explanation:

decimal * 100 to get %

Answer:

I think It is the second one

Step-by-step explanation:

I hope this helps:)

Answer:

-3x-15

Step-by-step explanation:

you use the distributive property. So it would be 3 times -x and 3 times -5 so you get -3x-15.

Answer:

-3x-15

Step-by-step explanation:

3(-x -5)

distribute

-3x-15

Answer:

what are we supposed to find for this question?

Step-by-step explanation:

Answer:

38 / 8 is 4.75

Step-by-step explanation:

Um I tried putting a photo of my work but it wouldn't let me sorry ;-;