All categories

3 years ago

What is the product of (3x-7)(3x-5)

Mathematics

2 answers:

serious [3.7K]3 years ago

5 0

3x(3x-5)-7(3x-5)

9x^2-15x-21x+35

9x^2-36x+35

Debora [2.8K]3 years ago

3 0

The answer is 9x² - 36x + 35

FOIL Method or Box Method can be useful in solving this problem.

First Terms Product: 3x × 3x = 9x²

Outside Terms Product: 3x × -5 = -15x

Inner Terms Product: -7 × 3x = -21x

Last Terms Product: -7 × -5 = +35

Combining like terms results in the answer given above.

You might be interested in

NEED HELP AND FAST! A new soup recipe contains 33% less sodium per serving than the old soup recipe. The old soup recipe contain

jasenka [17]

Answer:

x-0.33x = 0.67x

Step-by-step explanation:

Given : A new soup recipe contains 33% less sodium per serving than the old soup recipe.

The old soup recipe contained x milligrams of sodium per serving.

To Find: Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe

Solution :

Since we are given that old recipe contains x milligrams of sodium per serving

And new recipe contains 33% less sodium per serving than the old soup recipe.

So, 33%of x = 0.33x

Since new recipe contains 33% less sodium than old recipe:

⇒x-0.33x

⇒(1-0.33)x

⇒0.67x

Thus expressions which could represent the amount of sodium per serving, in milligrams, in the new soup recipe :

x-0.33x or 0.67x

6 0

3 years ago

Read 2 more answers

What is 4 3/5 -2 1/3

snow_tiger [21]

4 + 3/5 = 23/5 and

2 + 1/3 = 7/3 get a common denominator = 15 ....so....

23/5 = 69/15 and

7/3 = 35/15

69/15 - 35/15 =

34/15

5 0

3 years ago

"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s

statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let X = number of consumer's who recognize the brand.

The probability of the random variable X is, P (X) = p = 0.40.

A random sample of size, n = 6 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X = 5) as follows:

$P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369$

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

$P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041$

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

= 0.0369 + 0.0041

= 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0

4 years ago

If tan 0=3/4 find sin0

bija089 [108]

Answer:

sin O = $\frac{3}{5}$

Step-by-step explanation:

given tan O = $\frac{3}{4}$ = $\frac{opposite}{adjacent}$

Then this is a right triangle with legs 3 and 4

Using Pythagoras' identity then the hypotenuse (h ) is

h = $\sqrt{3^2+4^2}$ = $\sqrt{25}$ = 5, hence

sin O = $\frac{opposite}{hypotenuse}$ = $\frac{3}{5}$

6 0

3 years ago

Helppppp!!! What is the area of the trapezoid shown below?

Trava [24]

Answer:

The area of T is equal to sum of area of R and Triangle

Step-by-step explanation:

$area = 12 \times 2$

Area)= 24

$area = \frac{1}{2} \times 12 \times 15$

Area= 90

Area of T = 90 PLUS 24

AREA == 114

<h2>PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE </h2>

4 0

2 years ago

Read 2 more answers