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3 years ago

7

According to the nutrition label, one large egg contains 6 grams of protein. This is 10% of the daily value (DV) for protein. Ex

press this percent as a fraction.

1 answer:

BlackZzzverrR [31]3 years ago

7 0

10% of protein is equal to 6 grams.

100% of protein
60 grams

so
6 / 60
1 / 10

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a car travels 60km in 36minutes.At the same average speed, how far will it travel in 1 hour 12 minutes

Minchanka [31]

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

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3 years ago

Identify the vertex, roots, and equation of the function below.

spayn [35]

The equation of a parabola in vertex form, is:

$y=a(x-h)^2+k$

Where <em>(h,k)</em> are the coordinates of the vertex.

From the given graph, notice that the coordinates of the vertex are:

$(5,6)$

The roots are the values of <em>x</em> where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points <em>(4,0)</em> and <em>(6,0).</em> Then, the roots are:

$\begin{gathered} x_1=4 \\ x_2=6_{}_{} \end{gathered}$

Substitute the values of the vertex into the equation of the parabola in vertex form:

$y=a(x-5)^2+6$

To find the value of <em>a</em>, substitute <em>(x,y)=(4,0)</em>:

$\begin{gathered} 0=a(4-5)^2+6 \\ \Rightarrow0=a(-1)^2+6 \\ \Rightarrow0=a+6 \\ \Rightarrow-6=a \\ \Rightarrow a=-6 \end{gathered}$

Therefore, the equation of the parabola is:

$y=-6(x-5)^2+6$

3 0

1 year ago

Find the volume of the prism

Andrei [34K]

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

$\frac{1}{2} \times (a + b) \times h$

$\frac{1}{2} \times (8 + 14) \times 4$

$\frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3}$

Volume=Area or trapezium x Height between trapezium ends

$= 44 \times 10 \\ = 440 {cm}^{3}$

8 0

3 years ago

Find f(t – 3) for f(x) = 4x^2 – 8x + 4.

Vladimir79 [104]

Answer:

<h2>A. 4t² - 32t + 64</h2>

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

f(t - 3) = 4t² - 24t + 36 - 8t + 28

f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

3 0

3 years ago

Find an equation for the line that passes through the point P(-5,-3) and is parallel to the line

Aneli [31]

-------------------------------------------------------------------------------------------------------------

Answer: $\textsf{y = -1.75x - 11.75}$

-------------------------------------------------------------------------------------------------------------

Given: $\textsf{Goes through (-5, -3) and parallel to 7x + 4y = 10}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: We need to first solve for y in the equation that was provided so we can determine the slope. Then we plug in the values into the point-slope form, distribute, simplify, and solve for y to get our final equation.

<u>Subtract 7x from both sides</u>

$\textsf{7x - 7x + 4y = 10 - 7x}$

$\textsf{4y = 10 - 7x}$

<u>Divide both sides by 4</u>

$\textsf{4y/4 = (10 - 7x)/4}$

$\textsf{y = (10 - 7x)/4}$

$\textsf{y = 10/4 - 7x/4}$

$\textsf{y = 2.5 - 1.75x}$

<u>Plug in the values</u>

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-3) = -1.75(x - (-5))}$

<u>Simplify and distribute</u>

$\textsf{y + 3 = -1.75(x + 5)}$

$\textsf{y + 3 = (-1.75 * x) + (-1.75 * 5)}$

$\textsf{y + 3 = -1.75x - 8.75}$

<u>Subtract 3 from both sides</u>

$\textsf{y + 3 - 3 = -1.75x - 8.75 - 3}$

$\textsf{y = -1.75x - 8.75 - 3}$

$\textsf{y = -1.75x - 11.75}$

Therefore, the final equation in slope-intercept form that follows the information that was provided is y = -1.75x - 11.75

4 0

2 years ago