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3 years ago

I need help!! If possible show work pls!! Thx!

Mathematics

2 answers:

kicyunya [14]3 years ago

8 0

Answer: The answer is D .

Step-by-step explanation:

yan [13]3 years ago

7 0

Answer:

A. (0,0)

Step-by-step explanation:

Substitute (0, 0) into both of the equations

(0, 0) = (x, y)

x = 0

y = 0

{ 2(0)−(0)≥−2

{8(0)−(0)<5

Multiply 2 and 0 to get 0.

0−0≥−2 and 8×0−0<5

Subtract 0 from 0 to get 0.

0≥−2 and 8×0−0<5

Compare 0 and −2.

true and 8×0−0<5

Multiply 8 and 0 to get 0.

true and 0−0<5

Subtract 0 from 0 to get 0.

true and 0<5

Compare 0 and 5.

true and true

The conjunction of true and true is true.

Also look at the graphs

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Find lim f(x), x->3- Can you please explain this. I dont know why but this is confusing me.

GaryK [48]

Hello,

$$ \lim_{x \to 3-} f(x)=1\ \ is\ since ( x\ \in\ Dom(f)\ and\ \forall\ \delta\ \textgreater\ 0 \ and\ $
$
$( x \in \ Dom( f ) \ and \ 3-\delta \ \le \ x \ \ \textless \ p ) == \textgreater \ 
1 - \epsilon \ \le\ f ( x )\ \le \ 1 + \epsilon \$

$$ \lim_{x \to 3+} f(x)=3$
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3 0

3 years ago

Read 2 more answers

A poll shows that 50% of students play sports

Firlakuza [10]

Answer:

The chance of getting a sample proportion of 70% or greater is 0.026.

Step-by-step explanation:

We are given that a poll shows that 50% of students play sports .

A random sample of 20 students showed that 70% of them play sports.

Let $\hat p$ = sample proportion of students who play sports

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of students who play sports = 70%

p = population proportion of students who play sports = 50%

n = sample of students = 20

Now, the chance of getting a sample proportion of 70% or greater is given by = P( $\hat p$ $\geq$ 70%)

P( $\hat p$ $\geq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\geq$ $\frac{0.70-0.50}{\sqrt{\frac{0.70(1-0.70)}{20} } }$ ) = P(Z $\geq$ 1.95) = 1 - P(Z < 1.95)

= 1 - 0.97441 = 0.026

The above probability is calculated by looking at the value of x = 1.95 in the z-table which has an area of 0.97441.

Hence, the chance of getting a sample proportion of 70% or greater is 0.026.

8 0

3 years ago

Find the exact values of the remaining five trigonometric functions of theta, suppose theta is an angle in the standard position

nexus9112 [7]

Answer:

$\sin(\theta)=60/61\text{ and } \csc(\theta)=61/60\\\cos(\theta)=11/61\text{ and } \sec(\theta)=61/11\\\tan(\theta)=60/11\text{ and } \cot(\theta)=11/60$

Step-by-step explanation:

So, we know that:

$\tan(\theta)=60/11\text{ and } 90\textdegree$

Since θ is in QI, this means that all of our trig ratios will be positive. Recall All Students Take Calculus. Since it's QI, we refer to A in All. The A tells us that all the ratios will be positive.

Now, let's figure out the remaining ratios knowing that all of them is positive. First, let's find the hypotenuse. Recall that tangent is the ratio of the opposite side to the adjacent side. So, we can use the Pythagorean Theorem to find the hypotenuse. So:

$a^2+b^2=c^2$

Substitute 60 for a and 11 for b:

$60^2+11^2=c^2$

Solve for c. Square both numbers:

$3600+121=c^2$

Add:

$c^2=3721$

Take the square root of both sides:

$c=61$

Therefore, the hypotenuse is 61.

So, our side lengths are: Opposite=60; Adjacent=11; and Hypotenuse=61.

Now that we know the lengths, we can find the other trig ratios:

Sine and Cosecant:

$\sin(\theta)=opp/hyp$

Substitute 60 for Opp and 61 for Hyp:

$\sin(\theta)=60/61$

Cosecant is the reciprocal of sine. So:

$\csc(\theta)=61/60$

Cosine and Secant:

$\cos(\theta)=adj/hyp$

Substitute 11 for Adj and 61 for Hyp:

$\cos(\theta)=11/61$

Secant is the reciprocal of cosine. So:

$\sec(\theta)=61/11$

Tangent and Cotangent:

We are already given that tangent is:

$\tan(\theta)=60/11$

Cotangent is the reciprocal of tangent. So:

$\cot(\theta)=11/60$

4 0

4 years ago

Find the inverse of f(x) = 1/2x + 3

vodka [1.7K]

The equation we have right now is basically y = 1/2x + 3. We can switch the x and y variables. Our new equation is: x = 1/2y + 3. Next, we solve for y.

Firstly, we subtract 3 from both sides. This gives us x - 3 = 1/2y. Next, we multiply both sides by 2 to isolate y. This gives us 2(x - 3) = 1/2y. Then, we have 2x - 6 = y.

The answer is f(x) = 2x - 6

3 0

3 years ago

Solve the following logarithmic equations. log2(49x^2) = 4

Mariana [72]

Answer:

$x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\$

Step-by-step explanation:

To solve this equation, one must apply the following logarithmic property:

$log_{a}(b) = c\\$

then

$b= a^{c}$

Applying it to the problem at hand:

$2^{4} = 49x^{2} \\x^{2} = \frac{16}{49} \\x_{1} = \frac{4}{7} \\x_{2} = \frac{-4}{7} \\$

The solutions to the problem are 4/7 and -4/7.

*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.

4 0

4 years ago