All categories

2 years ago

Given f() = -4x + 3, find f(-3)

Mathematics

2 answers:

Fittoniya [83]2 years ago

8 0

Answer:

The answer is 15

Step-by-step explanation:

f(x) = -4x + 3, f(-3)

f(-3) = -4x + 3

f(-3) = -4(-3) + 3

f(-3) = 12 + 3

f(-3) = 15

Thus, The answer is 15

dolphi86 [110]2 years ago

6 0

Answer:

f(-3)=-4(-3)+3

=12+3=15

Step-by-step explanation:replace x with -3

You might be interested in

The translation shown in the graph moves the figure to the right. What kind of translation is shown?

bulgar [2K]

Answer:

Horizontal

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

5 0

3 years ago

How do you do the number line of this question why do we need to flip the inequality

Phantasy [73]

I don't see an inequality, but I can tell you that the sign of the inequality is flipped whenever you multiply or divide by a negative number.

8 0

4 years ago

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary

uysha [10]

Answer:

The equation of the regression line is: $y=5.055 + 1.905 \cdot x$

Step-by-step explanation:

We have the following data:

$\begin{array}{c|cccccccccc}Productivity&23&25&28&21&21&25&26&30&34&36\\Dexterity&49&53&59&42&47&53&55&63&67&75\end{array}$

We can use the Least Squares Regression to find the line of best fit for a set of paired data.

To find the line of best fit for <em>n</em> points:

Step 1: For each (x,y) point calculate $x^2$ and xy.

Step 2: Sum all x, y, $x^2$ and xy, which gives us Σx, Σy, $\sum x^2$ and Σxy.

Step 3: Calculate Slope b:

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

where <em>n</em> is the number of points.

Step 4: Calculate Intercept a:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}$

Step 5: Assemble the equation of a line

$y=a + b \cdot x$

Following the above steps we get:

Step 1: Find $x^2$ and xy as it was done in the table

Step 2: Find the sum of every column:

$\sum{X} = 269 ~,~ \sum{Y} = 563 ~,~ \sum{X \cdot Y} = 15596 ~,~ \sum{X^2} = 7473$

Step 3: Use the following equations to find a and b:

$a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 563 \cdot 7473 - 269 \cdot 15596}{ 10 \cdot 7473 - 269^2} \approx 5.055$

$b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 10 \cdot 15596 - 269 \cdot 563 }{ 10 \cdot 7473 - \left( 269 \right)^2} \approx 1.905\end{aligned}$

Step 4: Assemble the equation of a line

$y=5.055 + 1.905 \cdot x$

The graph of the regression line is:

4 0

3 years ago

Plc help! Factor completely 2a^3b-ab^3-1 2/3ab^3-a^3b-4 1/2a^2b-1/2a^2b

alexandr402 [8]

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

7 0

2 years ago