Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

Answer:

The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method

Answer:

(9,-3)

Step-by-step explanation:

u just have to plug it up

Answer:

Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]

Step-by-step explanation:

We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.

The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.

Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".

Answer:

y = 3x - 13

Step-by-step explanation:

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

Answer:

0.85

Step-by-step explanation:

HOPE THIS HELPS :)

Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.

This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Yes. The factor is 3/2 (=1,5)

Step-by-step explanation:

They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.

Answer:

1) yes 2) 1.5

Step-by-step explanation:

have a nice day! <:

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

Answer:

x = 1.4

Step-by-step explanation:

12x - 15 = 6 - 3x

12x + 3x = 6 + 15

15x = 21

x = 1.4

Check:

12(1.4) - 15 = 1.8

6 - 3 (1.4) = 1.8

The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Given:

12x minus 15 = 6 minus 3x

12x - 15 = 6 - 3x

collect like terms

12x + 3x = 6 + 15

15x = 21

x = 21 / 15

x = 1.4

Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4

Learn more about equation:

https://brainly.com/question/4916384

he is the best way to get a free agent and I ask 6262626

The price per foot is $0.91

Step-by-step explanation:

A 6-yard roll of butcher paper costs 16.38

1 yard = 3 foot

6 yards = 3 times 6 = 18 foot

the cost of 18 foot is $16.38

To find price per foot, we divide the cost of 6 yards by 18

16.38÷ 18 = 0.91

The price per foot is $0.91

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

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

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

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

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

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

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

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

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

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

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

Answer:

18 dimes

Step-by-step explanation:

Since Leon has ”16 fewer than” it’s a symbol to subtract

34-16=18

Answer:

34-16=18 leon has 18 dimes

Step-by-step explanation:

hope this helps

[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \sf\longmapsto 4+√-16[/tex]

[tex]\\ \sf\longmapsto 4+√16i[/tex]

[tex]\\ \sf\longmapsto 4+4i[/tex]

[tex]\\ \sf\longmapsto 4(1+i)[/tex]

Hi there! :)

First, let's use the Distributive Property.

It states that

a(b+c)=ab+ac

Therefore

5(2h+8)=10h+40

10h+40<60

Move all the numbers to the right, using the opposite operation:

10h<60-40

10h<20

h<2

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen whose hobby is helping others

Good luck.

Hey there!

5(2h + 8) < 60

= 5(2h) + 5(8) < 60

= 10h + 40 < 60

SUBTRACT 40 to BOTH SIDES

= 10h + 40 - 40 < 60 - 40

CANCEL out: 40 - 40 because it gives you 0

KEEP: 60 - 40 because it helps solve for the h-value.

NEW EQUATION: 10h < 60 - 40

SIMPLIFY IT!

= 10h < 20

DIVIDE 10 to BOTH SIDES

= 10h/10 < 20/10

CANCEL out: 10/10 because that gives you 1

KEEP: 20/10 because it gives you the result of the h-value

NEW EQUATION: h < 20/10

SIMPLIFY IT!

= h < 2

Therefore, your answer is: h < 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The number (5/3)³ written as a quotient of powers is; 5³/3³

According to the question;

We are required to determine write the number, (5/3)³ as a quotient of powers

The number (5/3)³ can be evaluated as;

= 125/27

= 5³/3³

Step-by-step explanation:

Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

≅

Answer:

sorry cant see the question

Step-by-step explanation:

Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

Answer:

Step-by-step explanation:

b = the number of boys, substitute below:

Correct choice is A

Answer:

6

Step-by-step explanation:

Answer:

-486

Step-by-step explanation:

-2x+10

Leave a comment if any doubt

Answer:

A. 85  B. 87  C. 60

Step-by-step explanation:

As shown in the shapes, A, is a full circle making 360 degrees full. B, a half circle making 180 degrees half. C, a full circle again making 360 degrees full.

A: [360-(132+63+80)]

360 - 275

=85

B: [180(60+33)]

180 - 93

=87

C: [360(120+60+120)]

360 - 300

=60