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Ivan
3 years ago
10

For a party, you can spend no more than $20 on cakes. Egg cake costs $4 and cream cake costs $2. Write the linear inequality tha

t models the situation.
Mathematics
1 answer:
Masteriza [31]3 years ago
3 0

Answer: this is what i know

For a party, you can spend no more than $ 20 on cakes. The egg cake cost is $ 4 and the cream cake cost is $ 2. Write the linear inequality that models the situation. Graph the inequality. Suppose that the number of egg cakes we buy is represented by x and the number of cream cakes we buy is represented by y.

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D(x)=(x^2-12x+20)/(3x)
krok68 [10]

Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

<u>Explanation:</u>

d(x) = \frac{x^{2}-12x+20}{3x}

      = \frac{(x-2)(x - 10)}{3x}

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0  

<u>÷3</u>   <u>÷3 </u>

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

degree of numerator (2) > degree of denominator (1)

so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

  •        <u>(1/3)x - 4    </u>
  •    3x)    x² - 12x + 20
  •             <u>x²        </u>
  •                  -12x
  •                  <u>-12x         </u>
  •                             20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4



6 0
3 years ago
I know how to find the slope but I always have trouble finding out how to find the B, can someone please help me?
ser-zykov [4K]

Answer: 1

Step-by-step explanation: Looking at the bold line that is vertical, Find where the line intersects with the other. That point is actually highlighted and called (0,1,) Hope I explained that well!

6 0
3 years ago
Find x and y for the following problem.
Luba_88 [7]

Answer:

x = 5/4

y = 7/4

Step-by-step explanation:

The smaller triangle and the larger one are similar, so the sides are proportional.

(x+5)/5 = 10/8

x/5 + 1 = 1/4 + 1 . . . . . divide it out

x/5 = 1/4 . . . . . . . . . . .subtract 1

x = 5/4 . . . . . . . . . . . . multiply by 5

___

For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...

y = 7/4

8 0
3 years ago
Suggested turkey cooking times at 180 degrees Celsius by weight:
Sonja [21]

Answer:

4kg : 45 x 4 + 20 = 200 minutes

5.5kg: 40 x 5.5 = 220 minutes

8kg: 35 x 8 = 280 minutes

The cooking time is directly proportional to weight in Turkey C

Hope this helps

Please mark brainiest

4 0
3 years ago
A recent study was conducted to explore the relationship between the weight of a car and miles per gallon (gas mileage). A linea
k0ka [10]

Answer: a.  iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.

Step-by-step explanation:

  • A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
  • It is square of correlation coefficient (R).

Here,   independent quantity = weight of a car  

dependent quantity = miles per gallon (gas mileage)

The coefficient of determination (R²) was reported to be 79.6%.

That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

  • A correlation coefficient(R) tells about the strength and direction of relation .
  • It lies between -1 and 1.

For the study, the correlation coefficient R is -0.8921.

There is a fairly strong, negative relationship between car weight and miles per gallon.

7 0
3 years ago
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