Find the solution to the system of equations. Write the solution as an ordered pair. If there are no solutions, write 'no solutions'. If there are infinitely many, write 'infinitely many'.

y = −7/2x + 11

7x + 2y = 20

Answer:

y = 1/2x^2 - 2x - 1

Step-by-step explanation:

Vertex(2, - 3)

Equation of Parabola (In vertex form): y = a(x - h)^2 + k,

                                                               y = a(x - 2)^2 - 3

Substitute given point (0, -1) and solve for a:

y = a(x - 2)^2 - 3,

-1 = a(0 - 2)^2 - 3,

a = 1/2

Equation: y = 1/2(x - 2)^2 - 3 = 1/2(x^2 - 4x + 4) - 3 = 1/2x^2 - 2x + 2 - 3 = 1/2x^2 - 2x - 1,

y = 1/2x^2 - 2x - 1: Option C

Answer:

Let width = b

Then length,l=2b

Perimeter =72

2(l+b)=72

2(2b+b)=72

2(3b)=72

6b=72

b=72/6=12

L=2b=12x2=24

Answer:

4 ...................

Step-by-step explanation:

hope the answer was helpful ......

Answer:

1024÷256=4

Step-by-step explanation:

hope u get that

Answer:

694

Step-by-step explanation:

Answer:

9 days

Step-by-step explanation:

32-2-2-2-2-2-2-2-2-2 = 14

The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

Initial cookie = 32

Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.

Remaining cookies = initial cookies - eaten cookies

Remaining cookies  = 32 - 2d

The day when 14 cookies remain will be,

14 = 32 - 2d

2d = 32 - 14

d = 9

Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".

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Answer: 0.098

Step-by-step explanation: First you’ll need to find the sample distribution mean and standard deviation (which is 78 and 1.55). Then you plug it into calculator using normal approximation cause n is large: normalcdf(80,100,78,1.55)

As, 0.098 proportion of these samples would, we expect to have a mean greater than 80. Thus, option (C) is correct.

As the population is defined, as  a group of groupings with a common characteristic. In data point, a population is the pool of individuals from which a statistical sample is drawn for a study. As we see, different countries have different populations.

As here the μ = 78, σ = 1.5492 and x = 80

We need to compute P(X >= 80). The corresponding z-value is calculated using Central Limit Theorem

z = (x - μ)/σ

z = (80 - 78)/1.5492 = 1.29

Therefore,

P(X >= 80) = P(z <= (80 - 78)/1.5492)

= P(z >= 1.29)

= 1 - 0.902 = 0.098

Therefore, The right option (B) is correct

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Answer:

Step-by-step explanation:

Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

THIS IS THE COMPLETE QUESTION BELOW;

1. Explain how you calculate the net force in any direction on the box.

2. Suppose an upward force of 15 N is added to the box. What will be the net vertical force on the box?

3. What force could be applied to the box to make the net force in the horizontal direction zero? Explain.

4. Suppose a force of 25 N to the right is added to the box. What will be the net force to the right?

CHECK THE ATTACHMENT FOR THE FIQURE.

1)since the given horizontal forces are acting on the box at opposite direction then

NET FORCE= (100- 50)N

= 50N( this is because the 100N and 50N acting Horizontally will cancel each other, then the remaining force is 50N.

✓Since, the  two vertical forces also acted on the box in opposite direction, then

NET FORCE= (25 25)N

= 0N

Note: horizontal forces are one acting from right to left and vice versa, while vertical forces are ones acting from up to down and vice versa.

HENCE, NET FORCE = 50N + 0N= 50N

2) since the net vertical force was 0N, if

15N force is added then we still have NET FORCE OF 15N

3) if  force of 50N is applied to horizontal forces moving from left to right then NET HORIZONTAL FORCES= 0N

4) since, the net force for the box is 50N, if  Horizontal force of 25N is added  moving left to right then NET FORCE = 25N for whole box.

Answer:

B, C, and D

Step-by-step explanation:

They all have lower values than 2.1

Answer:

33 tiles

Step-by-step explanation:

Given

[tex]1\ tile = \frac{1}{3}\ points[/tex]

Required

Determine the number of tiles in 11 points

Represent this with x. So, we have:

[tex]1\ tile = \frac{1}{3}\ points[/tex]

[tex]x = 11\ points[/tex]

Cross Multiply

[tex]x * \frac{1}{3} = 11 * 1[/tex]

Multiply through by 3

[tex]3*x * \frac{1}{3} = 11 * 1*3[/tex]

[tex]x = 33[/tex]

first take the 3 and place it over the negative one in quadrant 2

Answer:

apply number to the X when x= y = 3*0-1 =-1

x=1 y = 3*1-1 = 2

x = 2 y = 3*2-1 =5

Answer:

[tex] \frac{a}{b} = \frac{3}{2} [/tex]

Step-by-step explanation:

Since both the triangles are similar, so their corresponding sides would be in proportion.

Therefore,

[tex] \frac{a}{b} = \frac{2.1}{1.4} \\ \\ \frac{a}{b} = \frac{3}{2} [/tex]

Answer:

C

Step-by-step explanation:

The solution to the systems of linear equations through graphing is simply the coordinates of the intersection point of the two lines.

The coordinates of the intersection line is written like this: (x, y)

Since the point is 0 on the x-axis and 3 on the y-axis, the Solution = (0, 3)

Answer:

y=8x+4

Step-by-step explanation:

Answer:

Second box

Step-by-step explanation:

Volume (of the box) = length * width * height

Volume of first box is: 4 * 7 * 8 = 224

Volume of second box is: 8 * 5 * 6 = 240

Since 224 < 240, the volume of the second box has the larger value.

Answer:

second choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Frequency table:

Category       Frequency

Dog                     4

Cat                       3

Fish                      2

Hamster               1

b) Relative frequencies of each animal type

Dog: 4/10 = 0.4

Cat: 3/10 = 0.3

Fish: 2/10 = 0.2

Hamster: 1/10 = 0.1

c) Popularity

Dog is the most popular because it has the highest relative frequency.

Hamster is the least popular because it has the lowest relative frequency.

Answer:

A speaker is a term used to describe the user who is giving vocal commands to a software program. ... A computer speaker is an output hardware device that connects to a computer to generate sound. The signal used to produce the sound that comes from a computer speaker is created by the computer's sound card

Step-by-step explanation:

rate nyoooo plssss

Answer:

Step-by-step explanation:

Recall that, in order to find the area of a parallelogram is to multiply height by base, and the height is 14, and the base is 5, so 14 x 5 = 70.

The y difference of the 2 lines are 6(you can just count these)

The x difference of the 2 lines are 8(again you can count this)

Now calculate distance using distance formula (the pythag theorem)

sqrt(6^2+8^2)=sqrt 100= 10

Therefore the distance of AC is 10.

Answer:

The triangles are similar

Step-by-step explanation:

Since EF ║ UT, m∠FUT = m∠EFU because alternate interior angles are congruent when lines are parallel.

m∠UDT = m∠EDF because vertical angles are congruetnt

Therefore ΔUDF is similar to ΔFDE because if two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar.

Answer:

B.) 20 degrees

Step-by-step explanation:

We know that the sum of angles in a triangle is equal to 180, so we can say that 80 + 4x + x is equal to 180. This means that 5x is 100 degrees, meaning that x = 20 degrees. The option with this answer is B.).

Answer:

The answer is B.

Step-by-step explanation:

4 × 20 = 80

80 + 80 = 160

A triangle is 180°

Find the missing x.

180 - 160 = 20

Plug 20 in for both x's to check your work.

Hope this helps :)

-ilovejiminssi♡

Answer:

-9

Step-by-step explanation:

Parentheses first:16-35+4 = -35+16+4 = -35+20 = -15

3(-15) = -45/5

-45 divided by 5 = -9

Answer:

(0, -2)

(6, 0)

Step-by-step explanation:

pick a value for 'x', plug it into the equation, then solve for 'y'

pick a value for 'y', plug it into the equation, then solve for 'x'

Answer:

-1, y = 2

0, y = 3

2, y = 5

Step-by-step explanation:

-1, y = -1 + 3

0, y = 0 + 3

2, y = 2 + 3

Answer:The missing dimensions are now

width =7inches

length = 11 inches

Height = 3 inches

Step-by-step explanation:

Volume of a box is given as =width x length x height 231 in^3

Given

width = 7 inches

height =represented as h

l = 8 inches more than the height= 8+h

V = w x l x h

231 = 7(8+h)(h)

231=( h² + 8h)7

231/ 7= h²+8h

33= h²+8h

Giving us the quadratic equation

h² + 8h - 33 = 0

=(h-3)(h+11) = 0

h-3= 0

h= 3  also h+11=0, h=-11

h= 3 or -11

Since the value of  height cannot have a negative value,

h = 3inch

l = 8+h  = 8+3 = 11 in

The missing dimensions are now

width =7inches

length = 11 inches

Height = 3 inches

compare the equation with the formula y=mx+c and you will get the value of slope and the y intercept.

For example - y= 3x +4

On comparing y=mx+c  

We will get m= 3 and

y intercept = 4

Answer:

A) Triangle PQR

Step-by-step explanation:

This is the correct triangle because it has the exact same measurements as Triangle ABC. Angles A and P are the same angle on the triangles and they have the same measure (70). Angles C and R are the same angle on the triangles and they have the same measure (75). To solve for Angle C in Triangle ABC though, add angles 70 + 35 together to get 105. A triangle has a total measure of 180, so subtract 180 - 105 to get 75.

Hope it helps!

Answer:

146

Step-by-step explanation:

180=4+30+x

180=34+x

180-34=x

146=x

Answer:

P = 2L + 2W

35 cm = 2(5 cm) + 2(W cm)

W = 12.5 cm

Step-by-step explanation:

P = 2L + 2W

35 cm = 2(5 cm) + 2(W cm)

35 cm - 10 cm = 2W cm

2W cm = 25 cm

w cm = 12.5 cm

Step-by-step explanation:

step 1. a rectangle has 2 sets of congruent sides; we will call them l and w.

step 2. P (perimeter) = l + l + w + w = 35

step 3. 35 = 5 + 5 + 2w

step 4. 25 = 2w

step 5. w(width) = 12.5 cm.