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Katyanochek1 [597]
3 years ago
9

4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​

Mathematics
1 answer:
stiv31 [10]3 years ago
3 0

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

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What is the graph of the linear inequality y≤−3x+4?
tatiyna

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

5 0
3 years ago
Positionx (m)
9966 [12]

Answer:

A. 3.0 m/s

Step-by-step explanation:

Based on the graph,

velocity = Area of the graph

v =  \frac{y1 - y2}{x1 - x2}

(y : position and x : time)

Let y1 = 2m and y2 = 14m,

t1 = 0s and t2 = 4s

v = (14 - 2)m/(4-0)s

= 12m/4s

= 3.0 m/s

6 0
3 years ago
Read 2 more answers
Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS
Firdavs [7]

Answer:

Rhombus Square

Step-by-step explanation:

7 0
3 years ago
What is the distributive property of 15+21
Marysya12 [62]

Answer:105 thats with reducing to  

Step-by-step explanation: 15(21/3)

                            then 15/1 x 21/3 then simplify

                                 15 x 21 over 1 x 3 then simplify 315/3 then reduce then get 105 is your anwser

                                                 

5 0
3 years ago
Read 2 more answers
This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.
Ugo [173]

As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

A_{rectangle}=a\cdot b \\A_{halfcircle}=\frac{A_{circle}}{2}=\frac{\pi r^2}{2}

The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

A_{rectangle}=10\cdot 6=\underline{60} \\A_{halfcircle}=\frac{3.14\cdot3^2}{2}=\underline{14.13} \\A_{total}=A_{rectangle}+A_{halfcircle} =60+14.13=\boxed{74.13\approx74}

The area of the figure is approximately 74ft squared.

Hope this helps.

r3t40

3 0
3 years ago
Read 2 more answers
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