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3 years ago

the cost y (in dollars) for x pounds of deli meat is represented by the equation y=3.5x, graph the equation

Mathematics

1 answer:

wel3 years ago

8 0

Answer:

I don't have the graph, but I'll explain what you need to do. Plot a point with the coordinates (1,3.5), (2,7), (3,10.5), and (4,14). Now draw a straight line connecting al these pints but don't go past the origin into the negative as in this situation it is not possible. There! Now you have a graph :)

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What values of x make the equation x(squared)+9x-22=0

kkurt [141]

Answer:

$x = 2 \: \: \: \: \: or \: \: \: \: \: x = - 11$

Step-by-step explanation:

${x}^{2} + 9x - 22 = 0 \\ {x}^{2} + 11x - 2x - 22 = 0 \\ x(x + 11) - 2(x + 11) = 0 \\ (x - 2)(x + 11) = 0 \\ x - 2 = 0 \: \: \: \: \: or \: \: \: \: \: x + 11 = 0 \\ x = 2 \: \: \: \: \: or \: \: \: \: \: x = - 11$

4 0

3 years ago

Use the Euclidean Algorithm to find the greatest common divisor of the polynomials f(x) = x^3 + 3x^2 + 6x + 1 and g(x) = 5x^4 +

fomenos

Answer:

3x+1.

Step-by-step explanation:

First we divide g(x)/f(x) (the process is in the first image):

5x-15 in Z7[x] is 5x-1 and $17x^2+86x+16$ is $r(x)= 3x^2+2x+2$ in Z7[x]. So

g(x)/f(x) = $(5x-1)(x^3+3x^2+6x+1)+3x^2+2x+2$

Now gcd(g,f) = gcm(f,r).

f(x)/r(x) = $5x(3x^2+2x+2) + 3x+1$

Then, gcd(f,r) = gcd(r,3x+1).

r/(3x+1) = $(x+5)(3x+1) +4$

Then, gcd(r, 3x+1) = gcd(3x+1,4) = 3x+1.

So, gcd(f,g) = 3x+1.

5 0

4 years ago

candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40

photoshop1234 [79]

The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume the separate weights of each type of candies to be represented by variables.

Let we have:

x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.
y = weight (in pounds) of second type of candy whose cost is 46 cents per pound.

x pounds of first type of candy is mixed with y pounds of second candy.

The weight of the mixture = x + y = 50 pounds

The cost of the mixture = 40 cents per pound = $40 \times 50 = 2000$ cents

Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = $31x + 46y$
Thus, we get $31x + 46y =2000$

Therefore, we got a system of two linear equations as:

$x +y = 50\\31x + 46y =2000$

From first equation, we get:

$x = 50 -y$

Substituting this value in second equation, we get:

$31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30$

Putting this value of y in equation for x, we get:

$x = 50-y = 50-30 = 20$

Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

Learn more about solving system of linear equations here:

brainly.com/question/13722693

4 0

2 years ago

Read 2 more answers

Alpha (a) is used to measure the error for decisions concerning true null hypotheses. What is beta (ß) error used to measure?

puteri [66]

Answer:

Alpha (α) is used to measure the error for decisions concerning true null hypotheses, while beta (ß) is used to measure error for decisions concerning false null hypotheses.

Step-by-step explanation:

Suppose we have events X and Y.

1. If it is said that X equals Y, when X is actually not equal to Y, α is used in this case, the null hypotheses.

2. If X is said to not be equal to Y, when X is actually equal to Y, β is used in this case, the false null hypotheses.

6 0

3 years ago

Write out the series given by:

omeli [17]

When $n=1$ , we have