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3 years ago

9

Write an inequality that represents the statement, "Two times a number x, less 15, is greater than or equal to 4 times the numbe

r y"?

1 answer:

Paul [167]3 years ago

4 0

Answer:

4y≤2x<15

Please mark me brainliest :))

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Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated b

Alexandra [31]

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

8 0

2 years ago

A block of cheese has a volume of 178 cm3 and a mass of 120 g.

Anna35 [415]

Answer:

375

Step-by-step explanation:

7 0

2 years ago

For f(x) = 2x – 3 find f(-1/4)

Firdavs [7]

9514 1404 393

Answer:

-3 1/2

Step-by-step explanation:

Put the argument where the variable is and do the arithmetic.

f(-1/4) = 2(-1/4) -3 = -1/2 -3

f(-1/4) = -(3 1/2)

5 0

3 years ago

What percent of $90 = $45

Lynna [10]

45 is exactly half of 90
that means 45 is 50% of 90.

8 0

3 years ago