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3 years ago

Plot the zeros of this function: f(x) = (x – 1)(x – 7).

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Answer:

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Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

$f(x) = (x - 1)(x - 7)$

Let output equal to 0.

$0 = (x - 1)(x - 7)$

Set factors equal to 0.

$x-1=0\\x=1$

$x-7=0\\x=7$

The zeros of the function are $x=1$ and $x=7$ .

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Help solve for r algebra

bija089 [108]

Answer:

$\frac{20}{7}$

Step-by-step explanation:

Multiply both sides by 7 to get rid of the denominator on the Right Side (RS). Do the same for the left side (LS) by multiplying both sides by 5 to get:

$7r=4(5)$

Simplify: $7r=20$

Divide both sides of the equation by 7 to get: $r=\frac{20}{7}$

6 0

3 years ago

A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated th

Allisa [31]

Answer:

21.186%

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score = 2400mg

μ is the population mean = 2000mg

σ is the population standard deviation = 500mg

z = 2400 - 2000/500

z = 0.8

Probability value from Z-Table:

P(x<2400) = 0.78814

P(x>2400) = 1 - P(x<2400) = 0.21186

Converting to percentage:

0.21186 × 100

= 21.186%

Therefore, the percent of the meals

ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%

7 0

3 years ago

Ella earns 1.5 her normal hourly rate for overtime pay. Last week, Ella earned $72.00 in overtime pay for 4 hours. What is Ella'

mr_godi [17]

Answer:

Ella's normal hourly pay is $12 per hour.

Step-by-step explanation:

Let us assume that the Ella's Normal hourly pay = $x per hour

Over hourly pay = 1.5 times ( Normal pay)

= 1.5 ( x) = $ 1.5 x

⇒Ella earns $1.5x in 1 hour of overtime.

So the amount she earns in 4 hour of overtime = 4 times (per hour pay)

= 4 ( $1.5x) = $ 6 x

The amount Ella earned in 4 hours of over time = $72.00

According to the question:

$ 6 x = $72.00

or, x = 72/6

=12

or , x = $12

Hence, Ella's normal hourly pay is $12 per hour.

7 0

3 years ago

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

3 years ago

Read 2 more answers

If the radius of cylinder is X cm and the height is Y .Find volume

Brrunno [24]

Answer:

x times 2y times pi

Step-by-step explanation:

The formula is height times diameter times pi. diameter is two times the radius, and 2 times y is 2y. the rest is simple. multiply them together an you get the answer

3 0

3 years ago