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3 years ago

8

A scientist was measuring the daily sodium values of different foods with a soda has 35.64% of the daily value and fries have 32

.9% of the daily value how much would they have together

1 answer:

uysha [10]3 years ago

4 0

Answer:

68.54

Step-by-step explanation:

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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

So, no option is correct. And the answer is

$T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

Learn more about linear transformations here-

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5 0

2 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

AlekseyPX

The solutions to the system of equations are (-2,-6) and (4,6)

<h3>How to determine the system of equations?</h3>

We have:

-2x + y = -2

$y = -\frac12x^2 + 3x + 2$

Next, we plot the graph of both functions.

From the attached graph, the equations intersect at (-2,-6) and (4,6)

Hence, the solutions to the system of equations are (-2,-6) and (4,6)

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5 0

2 years ago

Olivia weighed 7 pounds 6 ounces when she was born. How much Olivia weighed in ounces? a) 112 b) 118 c) 146 d) 160

8090 [49]

Answer:

118 ounces

Step-by-step explanation:

1 pound = 16 ounces

7 pounds = 112 ounces

112 + 6 = 118 ounces

6 0

3 years ago

Rico and his friend eat some lasagna. Rico eats 1/9 of lasagna, and his friend eats 1/18 of the lasagna. How much of the lasagna

Blizzard [7]

Answer:

$\frac{5}{6}$ of the lasagna is left

<u>Step-by-step explanation:</u>

Given:

Amount of lasagna Rico eats = 1/9

Amount of lasagna His friend eats = 1/18

To Find:

The amount lasagna is left =?

Solution:

Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats + Amount of lasagna His friend eats

Total lasagna ate by both Rico and his friend = $\frac{1}{9} + \frac{1}{18}$

Total lasagna ate by both Rico and his friend = $\frac{2}{19} + \frac{1}{18}$

Total lasagna ate by both Rico and his friend = $\frac{3}{18}$

Total lasagna ate by both Rico and his friend = $\frac{1}{6}$

The amount lasagna is left = 1 - Total lasagna ate by both Rico and his friend.

The amount lasagna is left = $1 - \frac{1}{6}$

The amount lasagna is left = $\frac{6-1}{6}$

The amount lasagna is left = $\frac{5}{6}$

4 0

4 years ago

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains poi

blsea [12.9K]

The answer is y = 2x+2

4 0

3 years ago

Read 2 more answers