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2 years ago

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

Mathematics

2 answers:

sertanlavr [38]2 years ago

8 0

Yes the statement is true.

irakobra [83]2 years ago

5 0

Answer:

True

Step-by-step explanation:

Given: $9x^2-30x+25$

We have to write the given polynomial in perfect square nominal.

$A^2-2AB+B^2$

We can factor it like

$A^2-2AB+B^2=(A-B)^2$

It is perfect square trinomial.

$9x^2-30x+25$

We have to make perfect square first and last term.

$9x^2\rightarrow (3x)^2\rightarrow A$

$25\rightarrow 5^2\rightarrow B$

$9x^2-30x+25\Rightarrow (3x)^2-2\cdot 3x\cdot 5+5^2$

Hence, The given polynomial is in perfect square trinomial.

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Name the property used to make the conclusion. If x+ 3 = 17, then x = 14 -

zimovet [89]

Answer:

Subtraction property of inequality

Step-by-step explanation:

Step 1: Definition of Subtraction property

Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.

Step 2: Relate the definition above with the given question.

It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:

$x + 3 = 17 \\ x + 3 - 3 = 17 - 3 \\ x = 14$

6 0

2 years ago

Anna is saving to buy a new cell phone. Her mother is helping Anna by contributing money each month. What is the ratio between t

Dmitry [639]

Answer:

Option D. 3:1, $120

Step-by-step explanation:

The complete question in the attached figure

Part 1) What is the ratio between the amount of money contributed by Anna and the amount contributed by her mother?

Let

x -----> the amount of money contributed by Anna

y ----> the amount of money contributed by her mother

we know that

Looking at the table

The value of x is equal to $x=\$30+\$60+\$90+\$120=\$300$

The value of y is equal to $y=\$10+\$20+\$30+\$40=\$100$

Find the ratio x/y

substitute the values

$\frac{x}{y}=\frac{300}{100}=\frac{3}{1}$

Part 2) What was the total amount saved in April?

we know that

To find out the total amount saved in April, adds Mon's contribution in April plus Anna's contribution in April

$(\$30+\$90)=\$120$

3 0

3 years ago

Read 2 more answers

What is 4 60/72 as a decimal

Whitepunk [10]

Answer:

0.206897

Step-by-step explanation:

it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897

3 0

2 years ago

Read 2 more answers

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$