Trigonometry questions

Carlos received 84 votes. That was 3 of every 7 votes cast in the class president election. How many votes were cast?

Step2247 [10]

336 votes total.

if he got 84 votes 3/7 so you take 84 times 4 (i got four by subracting 3 from 7 and got the remaining votes) and you will get 336 votes. hope this helps! :)

5 0

2 years ago

Need help with this math problem ASAP. Look at the picture attached. The linear function f(x) passes through the points (0,3) an

Karo-lina-s [1.5K]

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$f(x) = 2x + 3$

And

$g(x) = 2 \times {3}^{x} \\$

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To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

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In f ( x ) :

$y - intercept = f(0)$

$f(x) = 2x + 3$

$f(0) = 2(0) + 3$

$f(0) = 3$

Thus :

$y - intercept = 3$

##############################

In g ( x ) :

$y - intercept = g(0)$

$g(x) = 2 \times {3}^{x}$

$g(0) = 2 \times {3}^{0}$

$g(0) = 2 \times 1$

$g(0) = 2$

Thus :

$y - intercept = 2$

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The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

$|3 - 2| = |1| = 1$

So write this in the box : 1

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And we're done....

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8 0

2 years ago

Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2

drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is $x^{3}-2 x^{2}-x+2=0$

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is

$F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0$

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

$F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0$

$\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}$

So, the equation is $x^{3}-2 x^{2}-x+2=0$

Let us put x = 0 in f(x) to check whether our answer is correct or not.

$\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2$

Hence, the equation of the polynomial is $x^{3}-2 x^{2}-x+2=0$

3 0

2 years ago

The weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that ca

Sloan [31]

Answer:

Step-by-step explanation:

Given that the weights of bags filled by a machine are normally distributed with a standard deviation of 0.055 kilograms and a mean that can be set by the operator.

Let the mean be M.

Only 1% of the bags weigh less than 10.5 kilograms

i.e. P(X<10.5) = 0.01

corresponding Z value for P(Z<z) = 0.01 is -0.025

i.e. 10.5 = M-0.025(0.055)

Solve for M from the above equation

M = $10.5+0.025(0.055)\\=10.501375$

Rounding off we get

10.50 kgs

Mean weight should be fixed as 10.50 kg.

6 0

3 years ago

A hand-operated conduit bender with a shoe for bending 1-inch EMT can also be used to bend

Lunna [17]

1/2 inch EMT.........................

5 0

2 years ago