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3 years ago

In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19

Mathematics

1 answer:

Mariulka [41]3 years ago

8 0

Answer:

Leading coefficient is the coefficient of the highest power of x.

$x^5$ is the highest power.

Therefore, leading coefficient = $\frac{1}{4}$

Option D

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Simplify. 2u? - 20u +42 u² – 5u+6

chubhunter [2.5K]

Answer:

The simplified expression is:

$\frac{2(u + 7)}{(u- 2)}$

Step-by-step explanation:

We want to simplify:

$\frac{2 {u}^{2} - 20u + 42}{ {u}^{2} - 5u + 6}$

We factor the numerator and the denominator to get:

$\frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)}$

Cancel out u-2 which is common to the numerator and the denominator yo get:

$\frac{2(u + 7)}{(u- 2)}$

5 0

3 years ago

The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

3 0

3 years ago

Please help i will give metal.

Nataliya [291]

It would be either A or D because it says that john has 3 rows and does not say of how many stickers...but Raj have 36 stickers and Tajika has 36 stickers and Sue Lee has 40 so it would either A or D

4 0

3 years ago

Jeremy wants to give a 20% gratuity to his cab driver. His fare was $35.50. What is the total amount he will pay the driver?

Anna [14]

$42.60. You multiply 35.50 by .20 (that's decimal version of 20%) which equals 7.10. Then you add 35.50+7.10=42.60

8 0

3 years ago

Read 2 more answers

What is the value of z?

babymother [125]

Answer:

Step-by-step explanation:

Item 1:

Discount = Original price - discount price

= 22.50 - 13.50

= $ 9

Discount percentage = $\frac{9}{22.50}*100\\\\$

= 40%

Discount percentage = 40%

Tax = 14.31 - 13.50 = $0.81

Tax% = $\frac{0.81}{13.50}*100\\\\$ = 6%

Tax percentage = 6%

Item 2:

Tax = 6% of 16.20

= 0.06 * 16.20

= 0.972

Tax = $ 0.97

Total price (including tax )= 16.20 + 0.97 = $ 17.17

x = $ 17.17

Item 3:

Discount = 40% of 32.50

= 0.4 * 32.50

= $ 13

y = 32.50 -13

y = $ 19. 50

Tax = 6% of 19.50

= 0.06 * 19.50

= 1.17

z = 1.17 + 19.50

Z =$ 20.67

5 0

3 years ago