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1 year ago

Which option shows the graph of 2y-10 < 3x?

Mathematics

1 answer:

Alex1 year ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$2y-10 < 3x$

isolate the variable y

Adds 10 both sides

$2y < 3x+10$

Divide by 2 both sides

$y < 1.5x+5$

The solution of the inequality is the shaded area below the dashed line $y=1.5x+5$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,5) (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is (-3.33,0) (value of x when the value of y is equal to zero)

using a graphing tool

The graph in the attached figure

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Drag the correct classification for each graph into the boxes to complete the table.

tester [92]

neither even or odd, odd, even

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2 years ago

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William works at a nearby electronics store. He makes a commission of 6\%6%6, percent on everything he sells. If he sells a comp

pentagon [3]

If the computer sells for $764 and commission is 6%, then he would make $45.84 off that sale.

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2 years ago

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A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke

slamgirl [31]

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

0.288A + 0.336(700 - A) = 216

0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

- 0.048A = -19.2

A = -19.2/-0.048

A = 400 grams

Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

C = 700g - 400g

C = 300g

Therefore, the number of grams of Almonds = 400grams

Cashew = 300 grams

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2 years ago

Annabelle measures the sides of 15 right triangles and, based on her observations, she concludes that for any right triangle the

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Answer: Annabelle is using the a measure of central tendency defined as the Mode.

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The mean, median and mode are commonly accepted measures of central tendency.

The mode is the most frequently occurring value in a given set of data. As such, the modal value is statistically acceptable as a representative of the entire set of values or data.

If Annabelle measures the sides of 15 right triangles and based on her observations, she concludes that for any right triangle the sum of the squares of the two legs is equal to the square of the hypotenuse, what she has done is taking the most frequently occurring value, and in her experiment, the most frequent of all observed data satisfies the Pythagorean Theorem.

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