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My name is Ann [436]
2 years ago
14

Make x the subject of the formula 5(c-bx=10

Mathematics
1 answer:
EastWind [94]2 years ago
4 0

Answer:

Open the bracket

then factorise

make the column with X to be the subject

therefore divide both sides by 5b which will give you

X=(5C-10)÷5b

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What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
leonid [27]

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

3 0
3 years ago
Solve and check please i need help
viktelen [127]

Answer:

e = 7.5

Step-by-step explanation:

Hi,

15 = e/0.5

You need to find what e equals. To do that, you need e all by itself. So to get e by itself in this equation, you need to multiply by 1/2 (same thing as 0.5). 15 x 0.5 is equal to 7.5.

To check your work, 7.5/0.5 is equal to 15.

So you know it's correct.

I hope this helps you :)

6 0
3 years ago
Read 2 more answers
Convert the general form of the circle given into standard form.
Semmy [17]
The\ standard\ form\ of\ the\ circle:\\\\(x-a)^2+(y-b)^2=r^2\\\\where\\(a;\ b)\ are\ the\ coordinates\ of\ a\ center\ of\ the\ circle\\r\ is\ a\ radius\ of\ the\ circle\\------------------------

2x^2+2y^2-20x-8y+50=0\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2+y^2-10x-4y+25=0\\\\x^2-10x+y^2-4y=-25\\\\x^2-2x\cdot5+y^2-2y\cdot2=-25\\\\\underbrace{x^2-2x\cdot5+5^2}_{(*)}-5^2+\underbrace{y^2-2y\cdot2+2^2}_{(*)}-2^2=-25\\(x-5)^2-25+(y-2)^2-4=-25\\\\(x-5)^2+(y-2)^2-29=-25\\\\(x-5)^2+(y-2)^2=-25+29

\boxed{(x-5)^2+(y-2)^2=4}\\\\the\ center:(5;\ 2)\\the\ radius:r=\sqrt4=2



(*)\ (a-b)^2=a^2-2ab+b^2
8 0
4 years ago
Read 2 more answers
Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532
IgorC [24]
The answer is chicken $8, duck $5

x - the cost of a chicken
y - the cost of a duck

<span>he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
</span><span>he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532

</span>50x + 30y = 550                divide by 10
44x + 36y = 550                 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55                                    Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8


Since 5x + 3y = 55  and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
5 0
3 years ago
Read 2 more answers
A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi
gayaneshka [121]

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is \frac{4}{3}\pi r^{3}.

To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>

Plug in your numbers to the volume equation to get \frac{4}{3} (3.14)(4^3). The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is \frac{4}{3}(3.14)(64).

Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now \frac{4}{3}(200.96) or \frac{4}{3} * \frac{200.96}{1}.

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of \frac{803.84}{3}.

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

8 0
3 years ago
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