He expression 5x − 3(2x − 4) is equivalent to the expression 12 − x.<br><br> True<br> False

Write the equation of the line that passes through the given points (0,-4) and (-7,-10

Anettt [7]

Answer:

14/-7

Step-by-step explanation:

4 0

3 years ago

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What is the IQR (Inter Quartile Range) for the data set? 11 6 19 14 21 7 13 15 15 Question 10 options: 8 9 15 17

Gnesinka [82]

IQR is the Q3 - Q1

Put the data in order.....

6, 7, 11, 13, 14, 15, 15, 19, 21
^ ^ ^
9(Q1) 14(Q2) 17(Q3)

17 (Q3) - 9 (Q1) = 8 (IQR)

So the answer to your question is the first option, 8.

Hope this helps! :D

7 0

3 years ago

Find the size of each of the angles marked with letter

GuDViN [60]

Answer:

angle l = 115

angle k = 115

angle j = 114

angle i = 66

Step-by-step explanation:

angle l = it is opposite to 115 so its the same

angle k = opposite opposing angles with angle l

angle j = 180-66=114 (between 2 parallel lines the sum of 2 angles is 180)

andle i = 180-114=66 (straight line = 180 degrees so subtract angle j to get i)

4 0

1 year ago

Mrs McCarr buys 9 packages of markers for an art project. Each packages has 10 markers. How many markers does Mrs McCarr buy?

Alborosie

Answer:

Mrs. McCarr buys 90 markers

Step-by-step explanation:

10 markers per package × 9 packages of markers = 90 markers in total

5 0

3 years ago

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Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

4 years ago

He expression 5x − 3(2x − 4) is equivalent to the expression 12 − x. True False