Angles in circle solve for each variable

Find the value of the discriminant for <img src="https://tex.z-dn.net/?f=7x%5E%7B2%7D%20%2B5x%2B1%3D0" id="TexFormula1" title="7

kondor19780726 [428]

Answer:

No real roots

Step-by-step explanation:

Given

7x² + 5x + 1 = 0 ← in standard form

with a = 7, b = 5, c = 1

To determine the nature of the roots use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then the roots are not real

Here

b² - 4ac = 5² - (4 × 7 × 1) = 25 - 28 = - 3

Thus the 2 roots are not real

7 0

4 years ago

Suppose U.S. consumers 21 years and older consumed 26.8 gallons of beer and cider per person during 2017. A distributor in Milwa

Kruka [31]

Answer:

d) Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons and hence higher than throughout the United States.

Step-by-step explanation:

We have a hypothesis test about the true mean consumptionof beer and cider for U.S. 21+ years-old consumers with the following null and alternative hypothesis:

$H_0: \mu=26.8\\\\H_a:\mu> 26.8$

The result of the test is to reject the null hypothesis.

This means that there is evidence to support the claim that beer and cider consumption was higher than the national average in Milwaukee in 2017 .

6 0

3 years ago

Which exponential function goes through the points (1, 16) and (4, 128)?

djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are $f(x)=8(2)^{x}$

Step-by-step explanation:

We know that a general exponential function is like, $y=a(b)^{x}$

We can find the answer by hit and trial method by plugging the values of $(x,y)$ coordinates.

Here we are going to solve this with the above general formula.

So as the points are $(1,16)$ then for $x=1,\ y=16$

Can be arranged in terms of the general equation.

$ab^1=16$ ...equation(1) and $ab^4=128$ ...equation(2)

$a\times b=16, then\ a=\frac{16}{a}$

Plugging the values in equation 2.

We have

$\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2$

Plugging $b=2$ in equation 1.

We have $a=\frac{16}{b} =\frac{16}{2} =8$

Comparing with the general equation of exponential $a=8$ and $b=2$

So the function which depicts the above points = $y=8(2)^x$

From theoption we have B as the correct answer.

7 0

4 years ago

Consider this system of equations. Which equation represents the first equation written in slope-intercept form? 5 x minus 2 y =

frosja888 [35]

Answer:

$y = \frac{5x}{2} - 5$

Step-by-step explanation:

Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.

From the equation given 5x - 2y = 10, we will make y the subject of the formula as shown;

$5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\$

$y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5$

Hence the equation that represents the first equation written in slope-intercept form is $y = \frac{5x}{2} - 5$

3 0

3 years ago

approximately 31000 citizens of a country dies in automobile accidents in 2015 express this toll in depths per day

Gelneren [198K]

84 is the asnwer you are looking for

8 0

3 years ago