How many solutions does this linear system have?

y = x+ 2

6x – 4y = –10

Step-by-step explanation:

3 quarts of soda + 2½ quarts of fruit juice = 5½ quarts of punch

Writing a proportion:

3 / 5½ = x / 100

5½ x = 300

x = 54 ⁶/₁₁

x ≈ 54.55

Answer: first 20 second 35

Step-by-step explanation:

Answer:

[tex]F=201.2\°[/tex]

Step-by-step explanation:

we know that

[tex]\°C=\frac{5}{9}[\°F-32][/tex]

For [tex]C=94\°[/tex]

substitute in the formula and solve for F

[tex]94=\frac{5}{9}[F-32][/tex]

[tex](\frac{9}{5})*94=[F-32][/tex]

[tex]F=(\frac{9}{5})*94+32[/tex]

[tex]F=201.2\°[/tex]

Answer:

y = 2x + 7

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 )

here m = 2, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation in slope- intercept form

here,

given point is (-3,2) and slope(m) is 2

so y=mx + b

or 2=2×(-3) +b

or b=8

the equation is

y=mx+b

or y=2x+8

or2x-y+8=0

Answer:

The correct answer is 10:20 and 10:30 on E2020

Hope this helps you!

(p.s please mark me as brainlyest)

Step-by-step explanation:

I just took the test on E2020 and got 100% but if you want the work just ask and I'll explain it to you.

Answer:

a) 3x(x+4y-3y^2)

b) 3x(3x -y + 5y^3)

Step-by-step explanation:

a) 3x^2+12xy-9xy^2

We need to factorize the above equation.

We can take 3x common from the above equation.

3x(x+4y-3y^2)

It cannot be further factorized. So the factors are:

3x(x+4y-3y^2)

b) 9x^2 - 3xy +15xy^3

We need to factorize this equation.

Since 3x is common in all terms, taking 3x common

3x(3x -y + 5y^3)

It cannot be further factorized. So the factors are:

3x(3x -y + 5y^3)

Answer:

D

Step-by-step explanation:

half of the miles he drove yesterday is (42/2) and +5 because he said five more than half.

hope this helps and is correct!

Answer:

○ D. (42 ÷ 2) + 5

Step-by-step explanation:

Five more than half tells it all. He 42 miles on Monday, then drove 5 more than half:

(42 ÷ 2) + 5

Half means you either multiply by ½, or divide by 2.

I am joyous to assist you anytime.

Answer:

4.9 & 4.2

Step-by-step explanation:

First, we will have to define mode,

“Mode is the most frequently occurring value of the given data.”

The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.

For the above data,

4.9 is repeated 3 times.

4.2 is repeated 3 times.

These both numbers have highest frequency in the data.

So the modes are 4.9 and 4.2 ..  

Answer:

So the modes are 4.9 and 4.2

Answer:

Jim's path is the critical path on this activity graph.

Step-by-step explanation:

Critical Path:

Critical path is the the longest path in the project task paths. It shows the least amount of time in which project can be completed. It can be find by looking at the longest path in the network diagram of the project; not in term of nodes or activities instead in term of days.

In given case:

Path 1 Bill task's total duration= 6 days

Path 2 Jim's task's total duration= 17 days

Path 3 Betty task's total duration= 7 days

Path 4 Cynthia task's total duration= 14 days

Hence the longest path i.e. critical path is of Jim's activity path !

Answer:

Option b. y = 0

Step-by-step explanation:

we know that

The slope of the line that coincides with the y-axis is equal to zero (horizontal line) and the equation is equal to

y=0

Answer:

A. (5,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put the coordinates of the points to the inequality, and check:

y ≤ x² - 4x + 2

for (5, 5) → x = 5, y = 5

5 ≤ 5² - 4(5) + 2

5 ≤ 25 - 20 + 2

5 ≤ 7     CORRECT :)

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

for (2, 2) → x = 2, y = 2

2 ≤ 2² - 4(2) + 2

2 ≤ 4 - 8 + 2

2≤ -2      FALSE

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

for (4, 4) → x = 4, y = 4

4 ≤ 4² - 4(4) + 2

4 ≤ 16 - 16 + 2

4 ≤ 2         FALSE

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

for (1, 1) → x = 1, y = 1

1 ≤ 1² - 4(1) + 2

1 ≤ 1 - 4 + 2

1 ≤ -1       FALSE

Answer:

You would need to deposit $2500

Step-by-step explanation:

The simple Interest formula is given as;

[tex]I=\frac{P*R*T}{100}[/tex]

Where I is the interest earned, P the principal amount deposited, R the simple interest rate and T the time.

The question requires us to determine the Principal given that;

I = 100

R = 2

T = 2

We make the Principal the subject of the formula;

[tex]P=\frac{100*I}{R*T}\\\\P=\frac{100*100}{2*2}=2500[/tex]

Tessellation is when a shape is repeated without any gaps/ spaces and without overlapping.

The semi circle shape shown cannot be uses because there would be gaps on the inner part of the circle.

Answer:

It's D .

Step-by-step explanation:

The graph of  f(x) = 2^x passes through the y axis at (0, 1).

The graph of g(x) passes through (0, 0) so g(x) = 2^x - 1.

Answer:

the equation for g(x) would be 2^x + 1.

-when shifting graph up, use x + ?

-when shifting graph down, use x - ?

-when shifting graph left, use ^(x + ?)

-when shifting graph right, use ^(x - ?)

I hope this helps you!

If you don’t know the tax price/value then you can’t add that on the total amount. So, if we don’t know the value of that we can just forget about it for now.

You do $10.19-$1.25 (to get just the price of the pens) =$8.94

To get the value of one pen just do $8.94 divided by 6 (the total number of pens)=$1.49

$1.49=Price for one pen

Hope this helps :)

Answer:

20

Step-by-step explanation:

Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.

perimeter = 2 + 2 + 5 + 5 + 3 + 3

perimeter = 20

ANSWER

[tex]32 \sqrt{3} {ft}^{2} [/tex]

EXPLANATION

The area of a tra-pezoid is half times sum of the bases times the vertical height.

From the diagram ( see attachment) we use the Pythagoras Theorem to obtain,

[tex] {x}^{2} + {(4 \sqrt{3}) }^{2} = {8}^{2} [/tex]

[tex] {x}^{2} + 48 = 64[/tex]

[tex]{x}^{2} = 64 - 48[/tex]

[tex]{x}^{2}=16[/tex]

[tex]x = \sqrt{16} = 4ft[/tex]

This implies that , y=10-4=6ft

The area of tra-pezoid

[tex] = \frac{1}{2} (10 + 6) \times 4 \sqrt{3} [/tex]

[tex] = \frac{1}{2} (16) \times 4 \sqrt{3} [/tex]

[tex] = 8\times 4 \sqrt{3} [/tex]

[tex] = 32 \sqrt{3} {ft}^{2} [/tex]

Answer:

Diameter = 8

Step-by-step explanation:

Area of a circle: pi r^2

16 pi = r^2 pi

r^2 = 16

r = 4

And since the diameter is equal to 2r, the diameter is

2(4) = 8

Answer:

120?

Step-by-step explanation:

-5 times -2 equals 10 (since a negative times negative equals positive)

10 times -3 equals -30

-30 times -4 equals 120

Hope this helps.

Note: this may be incorrect

Answer:

120

Step-by-step explanation:

Fair for one day = 2 × $2.25 = $4.5

Fair for d no. of days = $4.5 × d = $4.5d

HOPE THIS WILL HELP YOU

To represent the total amount Seth spent on bus fare for d days, the equation is Total amount = $2.25 x d. Multiply the cost per day by the number of days to find the total amount spent.

Equation: The equation to represent the total amount Seth spent on bus fare for d days is Total amount = $2.25 x d.

Step-by-step explanation:

Identify the cost per day, which is $2.25.

Multiply the cost per day by the number of days, d, to get the total amount spent on bus fare.

Final equation: Total amount = $2.25 x d.

Step-by-step explanation:

(picture explains)

Hope this helps!

Answer:

y = 30 and y = 40

Step-by-step explanation:

All you have to do is add 10 and 12, and see if its is greater than 34. Add the rest of the listed numbers to 12.

Answer:

C) (2,-5)

Step-by-step explanation:

Answer:

Hmm... None of these choices seem to be correct.

Step-by-step explanation:

The exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches

The correct answer is:

 B. 14 inches by 142 inches.

To find the exact length and width of the TV, we can use the properties of a 30-60-90 right triangle. In such a triangle, the side lengths are related as follows: the length of the side opposite the 30-degree angle is [tex]\( \frac{1}{2} \)[/tex] times the length of the hypotenuse, and the length of the side opposite the 60-degree angle is [tex]\( \frac{\sqrt{3}}{2} \)[/tex] times the length of the hypotenuse.

Given that the diagonal of the TV forms the hypotenuse of two 30-60-90 right triangles, let's denote the length and width of the TV as [tex]\( L \)[/tex] and [tex]\( W \)[/tex] respectively, and the length of the diagonal as [tex]\( D \).[/tex]

We have the following equations:

[tex]\[ L = \frac{1}{2}D \][/tex]

[tex]\[ W = \frac{\sqrt{3}}{2}D \][/tex]

Given that the diagonal [tex]\( D = 28 \)[/tex] inches, we can substitute this value into the equations to find the exact length and width:

[tex]\[ L = \frac{1}{2} \times 28 = 14 \text{ inches} \][/tex]

[tex]\[ W = \frac{\sqrt{3}}{2} \times 28 \approx 14\sqrt{3} \text{ inches} \][/tex]

Now, we need to rationalize the denominator for the width:

[tex]\[ W = 14\sqrt{3} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{42}{\sqrt{3}} \][/tex]

To rationalize the denominator, multiply both numerator and denominator by[tex]\( \sqrt{3} \):[/tex]

[tex]\[ W = \frac{42\sqrt{3}}{3} = 14\sqrt{3} \text{ inches} \][/tex]

So, the exact dimensions of the TV are approximately 14 inches by [tex]14\sqrt{3}[/tex] inches, which simplifies to 14 inches by 142 inches. Therefore, the correct answer is B.

Complete question:

The diagonal of a TV is 28 inches long. Assuming that the diagonal form a pair of 30-60-90 right triangles, what are the exact length and width of the TV?

A. 55 inches by 568 inches

B. 14 inches by 142 inches

C. 56 inches by 56.5 inches

D. 14 inches by 14.5 inches

Answer:

3/2

-3

Step-by-step explanation:

here

Answer:

[tex]x = \frac32, x = -3[/tex]

Step-by-step explanation:

Hello!

We have to solve for x by using the quadratic formula.

Standard form of a quadratic: [tex]ax^2 + bx + c = 0[/tex]

Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

First, convert it into standard form:

Given our equtaion: [tex]2x^2+3x - 9 = 0[/tex]

Plug it into the formula and solve.

The roots are 1.5 and -3.

YOU CAN TRY TO USE THIS FOR YOU ANSWER

L*W*H

Answer:

145

Step-by-step explanation:

The volume of the rectangular prism bin is area of base * height.

Base/top is a square, so area would be 150 * 150 = 22,500

Thus, volume of bin = 22,500 * 210 = 4,725,000

Using volume of sphere formula and given radius of each ball is 16cm, we can say that

Volume of 1 Ball = [tex]\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (16)^3=17,157.28[/tex]

Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be  1.9 * 17,157.28 = 32,598.83

How many of this will fit in the bin, we divide bin volume by this:

Number of Balls = [tex]\frac{4,725,000}{32,598.83}=144.94[/tex]

Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.

For this case we must find three points that satisfy the following equation:

[tex]x-4y = -18[/tex]

So:

[tex]-14-4 (1) = - 14-4 = -18[/tex]

[tex]10-4 (7) = 10-28 = -18[/tex]

[tex]-30-4 (-3) = - 30 - (- 12) = - 30 + 12 = -18[/tex]

Answer:

Thus, three points that meet the equation are:

(-14,1)

(10,7)

(-30, -3)

Three points that solve the equation x-4y=-18 are (0, 4.5), (-18, 0), and (-14, 1).

To find three points that solve the equation x-4y=-18, we can choose values for one variable and solve for the other. Here are three points that satisfy the given linear equation:

These points are part of the infinite set of solutions to the linear equation x-4y=-18.

The slope here is 0.

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (4, 5)

m = [tex]\frac{5-5}{4+3}[/tex] = [tex]\frac{0}{7}[/tex] = 0

Answer:

1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Secant (sec) 5. Cosecant (csc) 6. Cotangent (cot) These functions are used to relate the angles of a triangle with the sides of that triangle.

Step-by-step explanation:

Sine and cosine functions are examples of trigonometric functions that generate periodic waves. These waves can be represented in equations like y = A sin(wt + p) and x(t) = A cos(wt + p), where A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift.

Trigonometric functions like the sine, cosine, and tangent functions are often used to generate periodic waves in mathematics and physics. For instance, simple harmonic motion, which is related to alternating cycles in physics, can be represented by sine and cosine functions.

Let's consider the example of a bouncing object on a spring. The object's position over time can be represented by a sine function, resulting in a wave-like pattern on a graph. A sine function generating a periodic wave would look like this: y = A sin(wt + p), where A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift.

Another example is a cosine function that might represent a phase-shifted wave, like this: x(t) = A cos(wt + p). Again, A is the amplitude, w is the angular frequency, t is the time, and p is the phase shift. This function is effectively identical to the sine function but is shifted to the right on the x-axis.

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