Find the value of x in the figure below.

Answer:

y = 0

Step-by-step explanation:

subsitute x = -3 into y = x^2 - 7x + 12

y = -3^2 - 7 x  -3 + 12

  = 9 - 21 + 12

  =  0

Answer: 42

Step-by-step explanation:

y= (-3)^2 -7(-3) +12

= (9) -(-21) +12

= 9+21+12

= 42

Answer:

a) P(0, 2), Q(4, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, 2)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(4, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

Answer:

I don t understand what you are saying

Answer:

tomorrow        

Step-by-step explanation:

Step-by-step explanation:

here's your solution

==> by using Pythagoras theorem

==> base^2 = hypotenuse^2 - perpendicular^2

==> hypotenuse = 18 , perpendicular = 16

==> base^2 = 18^2 - 16^2

==> base^2 = 324 - 256

==> base^2 = 68

==> base = √68

==> base = 8.24

[tex]hope \: it \: helps[/tex]

Answer:

C. I wear my raincoat if and only if it's raining

Answer:

C is the correct option

Answer:

Step-by-step explanation:

we need to make two rectangles.  

one that is 13.1 Km  X  (9.3-4.2) Km

13.1 * 5.1 = 66.81

the next box is 4.2 X (13.1-8.1)

4.2*5 = 21

area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]

Answer:

The option C

Step-by-step explanation:

In the option A and B the image is been showed in either up-side down or mirror image. Only the option C has the image in a correct way and just moved the shape in a different position

The solution is Option C.

The image which shows a translation is Figure C.

What is Translation?

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the figure be represented as F

Now , the figure is translated up , down, or from side to side

The size of the figure does not change on translation

a)

The figure A has been inverted and it is not a transformation of translation

So , the Figure A is false

b)

The Figure B has been reflected by a factor , and reflection changes the coordinates of the figure F

So , Figure F is False

c)

The Figure C is translated by a factor of x to the left and y to downwards

The size of the figure remains the same

So , Figure C is a translation of Figure F

Hence , the figure C is a translation

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Answer:

y = 2x + 3

Step-by-step explanation:

Answer:

[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

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Answer:

Discontinuity at (1, 7), zero at (-4/3 , 0)

Step-by-step explanation:

[tex]3x^{2} + x - 4[/tex] = (3x + 4)(x - 1) = 0

                        x = -4/3   or 1

But x = 1 makes f(x) undefined, so there is discontinuity at x = 1

and there is a zero at x = -4/3.

3x + 4 = 3(1) + 4 = 3 + 4 = 7

If you were to graph this function, then you would get the line y = 3x + 4 with a hole at (1, 7).   The line would cross the x-axis at (-4/3, 0) with discontinuity at (1, 7)

Answer:

this is insolveable

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

so use formula BH/2

so 7x4/2

28/2

area=14

Answer:

14

Step-by-step explanation:

succes

...............

Answer:

D

Step-by-step explanation:

The boat is a distance of 25 miles far away from the dock. which is the correct would be an option (D).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

A boat leaves the dock and travels 7 miles due south, then 24 miles due west which is given in the question.

According to Pythagoras's theorem,

In a right-angled triangle, "the square of the hypotenuse is equal to the sum of the squares of the other two sides."

perpendicular²+base²=hypotenuse²

The hypotenuse = c

Here , perpendicular = 7 and base = 24

⇒ 24² + 7² = c²

⇒ 576 + 49 = c²

⇒ 625 = c²

⇒ c² = 625

⇒ c = 25

Therefore, the boat is a distance of 25 miles far away from the dock.

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Answer:

4 and 9

Step-by-step explanation:

here's how it should be:

(36÷4) - (36÷9)

9 - 4

5

Answer:

(36 ÷ 4) − (36 ÷ 9) = 5

Step-by-step explanation:

To solve, we need to find the quotient of 36 divided by each number listed:

 ║12 ⇒ 36 ÷ 12 = 3

 ║8 ⇒ 36 ÷ 8 = 4.5

 ║9 ⇒ 36 ÷ 9 = 4

 ║4 ⇒ 36 ÷ 4 = 9

So, which of these two numbers can you subtract from each other to get 5?

 ║We can subtract 4 from 9 to get 5.

Therefore, our answer should be:

 ║(36 ÷ 4) − (36 ÷ 9) = 5

Answer:

C. For each additional hour of service, the price of the dog walker increases by $10.

Step-by-step explanation:

Hope this helps!

:)

Answer:

C

because

[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]

Answer:

the 2nd option is true

Step-by-step explanation:

slope for W = 1/2

slope for Z = 1/4

y-intercept for W = -1

y-intercept for Z = -2

y-value when w = -4 is 3 for both W and Z

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3

= 4π×512/3

≈ 2143.6 cm³

Answer:

122degrees

Step-by-step explanation:

Since triangle BDC is a triangle, hence;

49 + 70 + <DBC = 180

<DBC = 180 - (70+49)

<DBC = 180 - 119

<DBC = 61

Since angle at the vertex is half the angle of its intercepted arc, then;

<DBC = 1/2 x

61 = 1/2 x

x = 61 * 2

x = 122degrees

Hence the measure of arcDC is 122degrees

Step-by-step explanation:

i think

C: Inverse, as x increases, y also increases

Step-by-step explanation:

C: Inverse, as x increases, y also increases

hope it is helpful to you

Part B: 65

Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.

Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.

Answer:

1 3/5, 1.6 or 8/5

Step-by-step explanation:

Use this rule a/bxc=ac/b

2*4/5

Simplify 2*4 to 8

8/5

Convert to mixed fraction

1 3/5

Decimal form:1.6