All categories

3 years ago

Let f(x) = x2 − 3x − 7. Find f(−3).

Mathematics

2 answers:

puteri [66]3 years ago

8 0

Hope it helped!! :))

elena55 [62]3 years ago

4 0

Answer:

f(-3) = 11

Step-by-step explanation:

To evaluate f(-3), substitute x = - 3 into f(x)

⇒ f ( − 3 ) = ( − 3 )^ 2 − 3 ( − 3 ) − 7

= 9 + 9 − 7 = 11

hope this helps

sorry if wrong

#Virgo2007

You might be interested in

Evaluate. 3/4+(1/2+1/4)^2x2

Dovator [93]

Answer:

107/4

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ subtract 2x from both sides

$3y=-2x+6$ divide both sides by 3

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ subtract 4/3 from both sides

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ multiply both sides by 3

$3y=-2x+5$ add 2x to both sides

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines k and l are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

When is a *-m/n* a real number? *superscript

Aleksandr [31]

Since real numbers are closed with respect to division (i.e. the division between two real numbers is again a real number), the fraction $-\frac{m}{n}$ is a real number everytime both m and n are real numbers.

In other words, you can choose any real number m and any real number n, and their ratio will still be a real number.

Of course, you have to follow the only rule that you can't divide by zero, so the answer is more precisely

$m \in \mathbb{R},\quad n \in \mathbb{R}\setminus\{0\}$

4 0

4 years ago

Help plz I don’t understand how to do this math below

ASHA 777 [7]

1. $\frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15}$

2. $\frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3}$

- BRAINLIEST answerer

4 0

3 years ago

Read 2 more answers

Ack's mother gave him 50 chocolates to give to his friends at his birthday party. he gave 3 chocolates to each of his friends an

wariber [46]

16 because 48/3 = 16 and we know that he started with 50 chocolates then distributed 3 times the number of friends present. This is written as 50 - 3x. We also know that there were 2 chocolates left so -3x = 2 - 50 which when simplified is x = 48/3 which equals 16.

3 0

3 years ago