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velikii [3]
1 year ago
8

For each expression, write an equivalent expression in standard form. Show your reasoning. a.) (2x + 5)(x + 1)

Mathematics
1 answer:
kumpel [21]1 year ago
7 0

ANSWER

2x² + 7x + 5

EXPLANATION

This is a quadratic function, because it has two 'x' multiplying in different terms.

The standard form of a quadratic function is:

ax^2+bx+c

To transform this expression in standard form we have to apply the distributive property to multiply the terms in the parenthesis:

So for this expression a = 2, b = 7 and c = 5.

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Gordon types 3,024 words in 42 minutes. Find the unit rate.
emmasim [6.3K]

Answer:

72 words per minute

Step-by-step explanation:

\frac{1}{y}= \frac{42}{3024}

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

y = 72

8 0
3 years ago
Whilst shopping, the probability that Caroline buys fruit is 0.4. The probability that Caroline independently buys a CD is 0.2.
AleksandrR [38]

Answer:

probability that Caroline buy both CD and  fruit = 0.52

Step-by-step explanation:

We have given that the probability of Caroline buys a fruit P = 0.4

So probability of Caroline does not buy the fruit = 1 - 0.4 = 0.6

Probability Caroline buys a CD P = 0.2

So probability of Caroline does not buy the CD = 1 - 0.2 = 0.8

So probability that Caroline does not buy either buy CD or fruit = 0.8×0.6=0.48

So probability that Caroline buy both CD and  fruit =1-0.48 = 0.52

7 0
3 years ago
Hello can anyone give me the step by step answer?
NISA [10]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table

m = \frac{-17-(-42)}{-3-(-8)} = \frac{-17+42}{-3+8} = \frac{25}{5} = 5

The line crosses the y- intercept at (0, - 2 ) , then

y = 5x - 2 → C

7 0
3 years ago
Read 2 more answers
Help.....................
Yuliya22 [10]

Answer:

See below

Step-by-step explanation:

(0,16) - y axis

(2, -12) - IV

(-1, 2) - II

(3, 0) - x axis

(36.7, 3.9) quadrant I

(-5/8, -5 1/3) - III

7 0
2 years ago
Read 2 more answers
A certain type of bacteria doubles every 7 hours. If you started with 36 bacteria, how many would you have after 28 hours?
Nimfa-mama [501]

I would have 144 because you just times 4 and 36

6 0
3 years ago
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