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Lelu [443]
3 years ago
5

What’s the solution to this inequality -2y > 12??

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer:

y < - 6

Step-by-step explanation:

Given

- 2y > 12

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

y < - 6

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Write the equation for the parabola that has x− intercepts (1.2,0) and (4,0) and y− intercept (0,12).
zzz [600]
Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore; 
 replacing the points in the equation y = ax² +bx+c 
we get  0 = a(4)²+b(4) +c   for (4,0)
             0 = a (1.2)²+ b(1.2) +c for (1.2,0)
             12 = a(0)² +b(0) +c   for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously 
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
 y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12


3 0
3 years ago
Read 2 more answers
A cylinder has a radius of 10 feet and a height of 11.4 feet.
poizon [28]

Answer:

V = 3579.6 ft^3

Step-by-step explanation:

The volume of a cylinder is given  by

V = pi r^2 h

We know the radius = 10

The height is 11.4 and pi is 3.14

V = (3.14) * ( 10) ^2 * 11.4

V = 3579.6 ft^3

3 0
3 years ago
Read 2 more answers
For numbers 1a - 1c, circle YES or NO for each statement using the table below.
Leokris [45]

Answer: yes no no

Step-by-step explanation: cuz cuz cuz then cuz

5 0
3 years ago
In the graph below, Point A represents Owen's house, Point B represents David's house and Point C represents the school. Who liv
ycow [4]

Answer:

• David

,

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

,

• David's House, B(15,13)

,

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Owen's distance from school (AC)

\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}

David's distance from school (BC)

\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

5 0
11 months ago
Eman is planning to sell wind chimes at a craft fair. The cost of her tools for building the wind chimes is 130. The cost of mat
antoniya [11.8K]

We are given : The cost of tools for building wind chimes = $130.

Cost of material for each wind chime = $10.

We need to find the total cost of making 100 wind chimes.

Please note : $130 is the fix cost and $10 is the variable cost of each wind chime.

<em>In order to find the cost of 100 wind chimes, we need to multiply 100 by cost of making one wind chime and add the fix cost for tools for building wind chimes.</em>

Therefore, total cost of making 100 wind chimes = 10×100 + 130

= 1000+130

=1130.

<h3>Therefore, the total cost to make 100 wind chimes is $1130.</h3>

7 0
2 years ago
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