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2 years ago

Let f(x) = x^2 − 5. Find f(-3)

Mathematics

2 answers:

Art [367]2 years ago

8 0

Answer:

f(-3) = 4

Step-by-step explanation:

f(x) = x² - 5

f(x) is a function with input x, meaning it is an expression which has terms involving x;

x is a variable and can be considered a space holder;

f(-3) is the function with input -3, this simply means replacing the space holder, i.e. x, with -3;

f(-3) = (-3)² - 5

f(-3) = 9 - 5

f(-3) = 4

Art [367]2 years ago

5 0

Answer:

f(-3)=4

Step-by-step explanation:

Substitute x=-3 into the function

f(-3)=(-3)^2-5

f(-3)=9-5

f(-3)=4

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Alecsey [184]

$\frac{x {}^{3} - 3x {}^{2} - 10x {}^{2} + 30x + 4x - 12 }{x - 3 } \\ \frac{x {}^{2} \times (x - 3) - 10x \times (x - 3) + 4 \times (x - 3) }{x - 3} \\ \frac{(x - 3)(x {}^{2} - 10x + 4 )}{x - 3} \\ x {}^{2} - 10x + 4$

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3 years ago

Alexandria,a car dealer,earns 40% commission of her luxury vehicles sales. Last year,her sales were $480,000. What was the total

Oxana [17]

Answer:

$12,000,000

Step-by-step explanation:

To find her commission, create a proportion.

$\frac{40}{100}=\frac{480000}{x}$

To solve use cross multiplication.

40(x) = 100(480000)

40x = 48000000

x= 12,000,000

3 0

3 years ago

Read 2 more answers

⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

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

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

significance level are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

<u>95% confidence interval for p</u> = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

3 years ago

Anybody who is good with word problems and (who has done these before) plz help thx!!! :DD

vovikov84 [41]

1. $\frac{x}{15} = 3$

2. 8x = 216

6 0

2 years ago

Read 2 more answers

Pls pls pls pls pls pls pls

mars1129 [50]

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

Inverse -> If not p , then not q .
Converse -> If q , then p .
Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
Converse: If a parallelogram is a rectangle, then it has a right angle.
Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

8 0

2 years ago