Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).

Using the function concept, it is found that:

In a function, one value of the input can be related to only one value of the output.

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

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Answer:

y=x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-8)

y-3=x-8

y=x-8+3

y=x-5

Answer:

x

Step-by-step explanation:

In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x

The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of Goalie A = x°

And , for a parallelogram

Opposite angles are congruent

So , the angle of Goalie B = angle of Goalie A

Substituting the values in the equation , we get

The angle for Goalie B = x°

Therefore , the value of B = x°

Hence , the opposite angle of parallelogram is x°

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Answer:

33

Step-by-step explanation:

f(-6) = -3(-6) + 15

       = 18 + 15

       = 33

Answer:

[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]

Step-by-step explanation:

We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.

The definite value for p is 9.

But how are 8, 7, or 6 the value of p?

I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?

You use algebra to get the value for p:

20p-45 = 9p + 5p

Start solving from there.

Answer:

50.8 degrees is the third angle

Answer:

  (c)  (x +7)/3

Step-by-step explanation:

Factor each expression and cancel common factors.

 [tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]

Answer:

C

Step-by-step explanation:

passed the quiz

Answer:

 B

Step-by-step explanation:

The incorrect tables each have at least one flaw that makes it not match the histogram.

A. The relative frequency associated with 4 of 86 is about 0.047, not 0.055. The relative frequencies are incorrect.

B. this table matches the histogram

C. The "bins" are not of uniform width, nor are they centered on the same values as shown in the histogram.

D. The values in a cumulative frequency table should be non-decreasing. The table value of 24 should be 54.

Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

x intercept = 25

y intercept = -55

The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.

Answer: SU = 4(1) + 1 = 5

Step-by-step explanation:

Since T is on segment SU we know the whole is eqaul to the sum of it’s parts.

ST + TU = SU substitute

3x - 1 + 3x = 4x + 1 simplify

6x - 1 = 4x + 1 solve for x

2x = 2

x = 1

ST = 3(1) -1 = 2

TU = 3(1) = 3

SU = 4(1) + 1 = 5

The first one (when simplify) is

5.6>8.91

Which is not true if you plot it on a number line

The second one (when simplify) is

5.6<-8.91

which is not true because it is the same thing as number 1

The third one (when simplify) is

-5.6>8.91

which is obviously not true since negatives are way smaller than positives

So that leaves us the last one

Thefore the answer is OD.

I hope this helped!!

Step-by-step explanation:

Let's solve your equation step-by-step.

6n+5=17

Step 1: Subtract 5 from both sides.

6n+5−5=17−5

6n=12

Step 2: Divide both sides by 6.

[tex]\frac{6n}{6} =\frac{12}{6}[/tex]

[tex]n=2\\[/tex]

I hope this help's :)

Answer:

n = 2

Step-by-step explanation:

[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]

Hope this helps! Brainliest would be really appreciated!

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].

14/7 = 2

16/8 = 2

18/9 = 2

This shows the cost of one book is $2

Multiply the number of books bought by 2 to get the cost:

1 x 2 = 2

2 x 2 = 4

3 x 2 = 6

Answer: (1,2) (2,4) (3,6)

Starting from the origin (0,0) for every 1 book bought ( x axis) move 2 more up than the previous total (y axis)

Using the 3 ordered pairs in the answer at x value 1 place a dot at y 2, then a dot at x2,y4 and again at x3,y6

Answer:

I'm doing the same test right now the ratios are 1 to 2 but the answers would be 1 to 2, 2 to 4, and 3 to 6 . you have to double the numbers that are shown

Step-by-step explanation:

I didn't copy the guy above it's litterallty simple multiplication hope my answer helped

Answer:

B.

Step-by-step explanation:

to turn a decimal into a percentile you have to move the decimal point over two spaces to the right.

Answer:

B

Step-by-step explanation:

Move the decimal 2 places to the left to find a percent.

Answer:

centre = (- 6, - 1 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 12x + 2y + 12= 0

Collect the x- terms and the y- terms together and subtract 12 from both sides

x² + 12x + y² + 2y = - 12

Using the method of completing the square

add ( half the coefficient of the x / y coefficients )² to both sides

x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1

(x + 6)² + (y + 1)² = 25 ← in standard form

with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5

Answer:

30 degrees and 60 degrees

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

Answer:

y = -4x

Step-by-step explanation:

Subtract 8x both sides

2y = 0 + (-8x)

Divide by 2 both sides

y = -4x

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

Answer:

te voy a devolver el susto me diste 9 veces peor

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

Answer: $4,744.95

Step-by-step explanation:

v=3,750(1+4%) 6th power

Answer:

radius, center, chord, diameter

Step-by-step explanation:

a. radius

b. center

c. chord

d. diameter

Step-by-step explanation:

3(7x-9)-19x = -15

21x-27-19x = -15

2x-27 = -15

2x = -15+27

2x = 12

x = 6

prove x = 6

Substitute x=6 into the equation.

3(7(6)-9)-19(6) = -15

3(42-9)-114 = -15

3(33)-114 = -15

99-114 = -15

-15 = -15 True✓