All categories

3 years ago

Can you look at this please what is the value of a? What is the value of b?

Mathematics

1 answer:

Allushta [10]3 years ago

6 0

Answer:

$\huge\boxed{a=36;\ b=-9}$

Step-by-step explanation:

$(6x-3)(6x+3)=ax^2+b\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\(6x)^2-3^2=ax^2+b\\\\6^2x^2-9=ax^2+b\\\\36x^2-9=ax^2+b\Rightarrow a=36;\ b=-9$

You might be interested in

Of the following types of energies that the Earth receives from the Sun, which type of energy causes

valentinak56 [21]

Step-by-step explanation:

c. ultraviolet energy

3 0

3 years ago

Determine which ordered pair is a solution of y=8X

Amanda [17]

<span>A.(0,8) B.(-1,8) C.(1.5,10) D.(2,16)

Simply substitute the value of x to get the value of y.

y = 8x

(0,8) y = 8(0) ; y = 0

(-1,8) y = 8(-1) ; y = -8

(1.5,10) y = 8(1.5) ; y = 12

(2,16) y = 8(2) ; y = 16

The correct ordered pair is D. (2,16)</span>

5 0

3 years ago

The percentage of U.S. college freshmen claiming no religious affiliation has risen in recent decades. The bar graph shows the

emmainna [20.7K]

Answer:

0.5%/year

24.2%

Step-by-step explanation:

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation

Percentage of females by year:

1980 = 6.2%

1990 = 10.8%

2000 = 13.6%

2012 = 21.7%

Average yearly increase :

Percentage increase between 1980 - 2012 :

2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years

15.5 % / 32 years = 0.484375% / year = 0.5%/year

b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,

Given an average increase of 0.484375% / year

(2030 - 1980) = 50 years

Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.

=24.2% (nearest tenth)

3 0

4 years ago

Using the numbers 5 8 and 24 create a problem using no more than four operations addition subtraction multiplication division sq

lubasha [3.4K]

Answer:

$(\frac{24}{8})^{2}$ gives rational solution and $\sqrt{5}$ gives an irrational solution.

Step-by-step explanation:

We are given the numbers 5 , 8 , 24.

Using these numbers and maximum four operations given, we need to find the problem having a rational and irrational solution.

Now, applying two operations namely division and squaring, we define the following problem having a rational solution.

i.e. $(\frac{24}{8})^{2}$ = $(\frac{12}{4})^{2}$ = $3^{2}$ = 9, being an integer, it is a rational number.

Further, applying only one operation namely square root, we define the problem having an irrational solution.

i.e. $\sqrt{5}$ , which is an irrational number.

Hence, the problems $(\frac{24}{8})^{2}$ gives a rational solution and $\sqrt{5}$ gives an irrational solution.

4 0

3 years ago

Use a model to divide. 1/2÷3

mestny [16]

Answer:

≈0.167 (2/3)

Step-by-step explanation:

hope this helps!

5 0

3 years ago