What is the graph of the system Y â 2x 3 and 2x 4y â 8?

Answer:

Please see attachment.

Step-by-step explanation:

Remember, the 1/4x is the slope, and the -4 is the y-intercept.

Please see attachment for the graph.

Hope this helps!

La solución de la ecuación de valores absolutos es x = - 1 y la solución de la inecuación de valores absolutos es x ≥ 9/2 ∨ x ≤ 3.

En esta pregunta debemos resolver una ecuación de valores absolutos y una inecuación de valores absolutos, cuya resolución requiere la aplicación de la definición de valor absoluto y procedimientos algebraicos:

|3 x - 1| = |3 · x + 7|

[tex]\left|\frac{3\cdot x - 1}{3\cdot x + 7} \right| = 1[/tex]

Por definición de valor absoluto:

[tex]\frac{3\cdot x - 1}{3\cdot x + 7} = 1\,\lor\,-\frac{3\cdot x - 1}{3\cdot x + 7} = 1[/tex]

[tex]3\cdot x - 1 = 3\cdot x + 7\,\lor \,- 3\cdot x + 1 = 3\cdot x + 7[/tex]

[tex]NaN \,\lor \, 6\cdot x = -6[/tex]

x = - 1

|4 · x + 3| ≤ 15

Por definición de valor absoluto:

- 4 · x + 3 ≥ - 15 ∨ 4 · x + 3 ≤ 15

- 4 · x ≥ - 18 ∨ 4 · x ≤ 12

x ≥ 9/2 ∨ x ≤ 3

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Answer:

482.84u², 42.5cm², 51.5ft²

Step-by-step explanation:

1) A = 2(1 + √2)a²

A = 2(1 + √2)(80 / 8)²

A = 482.84units²

2) Square = 5²

Square = 25

T1 = 3 x 5 / 2

T1 = 7.5

T2 = 4 x 5 / 2

T2 = 10

Total = 10 + 7.5 + 25

Total = 42.5cm²

3) Rect = 4(8 + 3)

Rect = 44

T1 = 2 x 3 / 2

T1 = 3

T2 = 3 x 3 / 2

T2 = 4.5

Total = 3 + 4.5 + 44

Total = 51.5ft²

Answer: (0, -7.2)

Step-by-step explanation:

Substituting into point-slope form, the equation is

[tex]y+6=4(x-0.3)[/tex]

The y-intercept is when x=0, so substituting in x=0,

[tex]y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2[/tex]

So, the y-intercept is (0, -7.2).

Answer: MULTIPLYING THE EXPONENTS!!!

Step-by-step explanation:

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3 is the scale factor that was changed from the previous scale to the new scale.

What is  the scale factor?

The scale factor is a way to compare figures that appear to be similar but actually have distinct scales or measurements. Let's say two circles have similar appearances but different radii. A figure's scale factor indicates how much larger or smaller it is than the original figure.

What is the change in the scale factor?

A scale drawing is a condensed representation of an original image, structure, or object in terms of dimensions. The scale drawing is typically shrunk at a fixed dimension.

The change in the scale factor = larger scale / smaller scale

3.3 / 1.1 = 3

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Answer: 3

Step-by-step explanation:

Answer:

- 2n + 6

Step-by-step explanation:

note that + (-) = -

5n + 6 + (- 7n)

= 5n + 6 - 7n ← collect like terms

= 5n - 7n + 6

= - 2n + 6

Answer:

Below in BOLD.

Step-by-step explanation:

5x^2 - 6x - 2 = 0

Quadratic formula for ax^2 + bx + c = 0  is

x =  [-b ± √(b^2 - 4ac)]/ 2a    

Here we have a = 5, b = -6 and c = -2

so x =  [-(-6)  ± √((-6)^2 - 4*5*-2)]/ 2*5

=  [ 6 ± √(36 + 40)] / 10

= 0.6 ±  √76 / 10

= 0.6 ±  0.8718

= 1.4718,  -0.2718

= 1.5, -0.3 to one decimal place.

x^2 + 3x = 40

x^2 + 3x - 40 = 0

We can factor this one:

(x - 5)(x + 8) = 0

x - 5 = 0 giving x = 5 and

x + 8 = 0 giving x = -8.

Answer  x = -8, 5.

The factored form of the equation are as follows;

Converting a quadratic function to factored form is called factoring.

Therefore,

let's factor the equation,

a.

d² - 7d + 6 = 0

d² - d - 6d + 6 = 0

d(d - 1) - 6(d - 1) = 0

(d - 6)(d - 1) = 0

b.

x² + 18x + 81 = 0

x² + 9x + 9x + 81 = 0

x(x + 9) + 9(x + 9) = 0

(x + 9)(x + 9) = 0

c.

u² + 7u - 60 = 0

u² - 5u + 12u - 60 = 0

u(u - 5) 12(u - 5) = 0

(u + 12)(u - 5) = 0

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Answer: 22.5

Step-by-step explanation:

[tex]\sin 64^{\circ}=\frac{x}{25}\\\\x=25 \sin 64^{\circ}\\\\x \approx 22.5[/tex]

The angle measurements of angle B as represented in the diagram shown is 150°

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

∠A = ∠B (alternate interior angles)

Hence:

8x - 10 = 3x + 90

x = 20

∠B = 3(20) + 90 = 150°

The angle measurements of angle B as represented in the diagram shown is 150°

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50^99 is greater than 99!

The numbers are given as:

99! and 50^99

When the above numbers are estimated using a calculator, we have:

99! = 9.332622e+155

50^99 = 1.577722e+168

Next, we compare the exponents

168 and 155

168 is greater than 155

Hence, 50^99 is greater than 99!

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Answer:

I'm sorry mate for helping for nothing but i just need more points to post my question. I am really sorry.

❄ Hi there,

[tex]\sf{\dfrac{1}{6}\approx0.167}[/tex], rounded to 3 DP (decimal places)

[tex]\left\vert\textsf{Decimal Places = Number of digits after the decimal point}\vert[/tex]

Why round? Because the entire number goes on for ever and ever.

So, we need to round. 1/6 rounded to 3 decimal places is 0.167. We have 3 numbers after the decimal point.

❄

Answer:

3n+1

Step-by-step explanation:

Subtract one from all the values, you get multiples of 3 in the equation 3n=nth term

So when you add one back, your equation is 3n+1=nth term

Answer: -7/5

​

Step-by-step explanation:

x = - 5cm^2 - 7m^2 + 35/ m (5c - 7), C = (cross out the equal sign) 7/5 and m = (cross out the equal sign) 0 and n = -7/5

The range of f(x) = 6x – 2 is [16,46]

According to the statement

we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8

we know that to find the range of function we have to fill the values in it and then find the range of this function.

So, range is basically a difference between the lowest and the highest value.

Here the given function is f(x) = 6x – 2

when f(3) then

f(3) = 18-2

f(3) = 16.

and when f(8) then

f(8) = 48-2

f(8) = 46.

after put the values we seen that the range of this function is 16,46.

So, The range of f(x) = 6x – 2 is [16,46]

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Answer is :

Step-by-step explanation:

Given function

[tex]\sf f(x) = 6x - 2 [/tex]

We need to the find the range of the function over the interval of 3 < x ≤ 8

When, x is 3

Put x = 3 in the given function,

[tex]\sf f(3) = 6(3) +2 [/tex]

[tex]\sf f(3) = 18 - 2 [/tex]

[tex]\sf f(3) = 16 [/tex]

when, x is 8

Put x in the given function,

[tex]\sf f(8) = 6(8) -2 [/tex]

[tex]\sf f(8) = 48 - 2 [/tex]

[tex]\sf f(8) = 46 [/tex]

Hence range of the function f(x) = 6x – 2 is 16 and 46.

The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.

A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.

For example, both 3 and –3 are square roots of 9

The length of the diagonal of his laptop monitor is squared root of 290

Let 'D' be the diagonal of the monitor.

The,

Diagonal = √290

Use long division method to solve the value,(attached in the file)

√290 = 17.029

          = 17.03

Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.

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The correct question is -

Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245

Answer:

The answer is B.

Step-by-step explanation:

The function F(x) = x would be the “parent function”. Meaning the +4 we see in G(x) would be a translation, because the function is not multiplied.

if you have ever seen the formula y = mx + b then you should be able to see that +4 would be referencing b in the linear equation, and because m is the same in both lines, we can say that the two functions only change is b, because b represents the y-intercept, if b was 0 in f(x)=x and was 4 in g(x)=x+4, the graph would be shifted 4 units up.

if you want to learn how to understand functions and linear equations, I recommend using khan academy. It is really helpfull in explaining topics of math.

Answer:

C) 6

Step-by-step explanation:

3 garden rows = 3*5 = 15 feet

we know we need 2 packages per each 15 feet

45/15=3 so 3 15 in 45, we just multiply 3 and 2 to get 6 packages

Slope 2 and y intercept is 10

The question seems to be incomplete and complete and the complete question is shown in the image

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases.

When x = 0, the corresponding y-value is the y-intercept. In the particular context of word problems, the y-intercept (that is, the point when x = 0) also refers to the starting value.

Y-intercept is the point  at which the line intersects the y axis- meaning x = 0

From the table y = -20 when x= 0

y-intercept: -20

To find the slope

m = ΔY/ΔX

m = -20+10/0-5 = 2

Hence the slope is 2 and y intercept is 10

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Answer:

7/100000000

Step-by-step explanation:

to find this out we can start by saying that 0.7 is 7/10

every 0 in front of 7 after that is adding another 0 to 10

so

0.07 is 7/100

0.00000007 is 7/100000000

Answer:

Vertical shift up 3

Horizontal shift to the right 2

Brainliest, please :)

Answer:

Step-by-step explanation:

f(x) is moved 2 units to the right followed by 3 units up,

120Rs is spend in 6 days on these things and distributive property is used

Properties of whole numbers are defined to operate basic arithmetic operations such as addition and multiplication, in an easy way. Applying these properties helps us to solve such math problems quickly, without even using calculators. These properties are almost similar to the properties of integers, although the definition for whole numbers and integers are different.

Total cost of a single day= 15 + 5 = 20Rs

∴ In 6 days total cost = 20 x 6 = 120Rs

Thus 120Rs is spend in 6 days on these things and distributive property is used.

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The first 3 iterates of the function are D. 3, -3, 9.

The function given is:

f(x) = -2x + 3

= -2(0) + 3

= 3

When x = 3

f(x) = -2x + 3

= -2(3) + 3

= -6 + 3

= -3

When x = -3

f(x) = -2x + 3

= -2(-3) + 3

= 9

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Step-by-step explanation:

I assume the question really looks like

-4b² + 4b - 4 is to be subtracted from 3b² + 2b - 5.

so,

3b² + 2b - 5 - (-4b² + 4b - 4) =

= 3b² + 2b - 5 + 4b² - 4b + 4 =

= 7b² - 2b - 1

Answer:

  18 cans

Step-by-step explanation:

The number of cans of paint will be the least integer greater than or equal to the number required to cover the area of the trapezoid.

The area of the wall is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the bases, and h is the height.

We are given the values b1=20 ft, b2=24 ft, h=16 ft, so the area is found to be ...

  A = 1/2(20 ft +24 ft)(16 ft) = 352 ft² . . . . . area of the wall

Each can of paint covers 20 ft², so n cans of paint will cover 20n square feet. We want to find the minimum integer value of n that satisfies ...

  20n ≥ 352

  n ≥ 17.6 . . . . . . . . . divide by 20

The next larger integer is 18.

The painter will need to buy 18 cans of paint.

Answer:

A). 0

Step-by-step explanation:

If you look at the graph, you can see that the only time it passes through the X- Axis is at (0, -20). Therefore, the solution to y=g(x) where g is negative, would be 0.

Answer:

X = 12

<B = 45°

Explanation:

From the diagram above:

Alternate exterior angles are equal. Therefore,

[tex]5x - 15 = 2x + 21 \\ collecting \: liketerms \\ 5x - 2x = 21 \: + 15 \\ 3x = 36 \\ dividing \: bothsides \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12 [/tex]

For the measure of angle B

2x + 21°

2(12) + 21 = 24 + 21 = 45

Measure of angle B = 45°

The possible length of the third hallway is between 30 yards and 150 yards.

The hallway forms a triangle .

Therefore,  using triangle inequality theorem, It states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Hence,

90 + 60 > x

Where

x is the third side

x + 60 > 90

x + 90 > 60

Therefore, the possible length of the third hallway is between 30 yards and 150 yards.

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Answer:

D: between 30 yards and 150 yards