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3 years ago

If j = k, then j + 9 = k + 9 represents which algebraic property

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

Answer:

c) The given expression represents Addition Property of Equality.

Step-by-step explanation:

Here, the given expression is j = k

Now by ADDITION PROPERTY OF EQUALITY:

The property that states that if you add the same number to both sides of an equation, the sides remain equal.

So, if A = B ⇒ A + x = B + x

Now, here given that j = k

If we add the same number 9 on both the sides, the equation remains undisturbed.

⇒ j + 9 = k + 9

Hence, the above expression represents Addition Property of Equality.

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Which quotient is reasonable? Do not perform the division. 7315 ÷ 12 A. 6 R 9 B. 60 R 9 C. 609 D. 6,009

ANTONII [103]

Answer:

C. 609

Step-by-step explanation:

In the question, 4-digits number were given to be divided by a 2-digits number. Without performing the division, it is only reasonable to say that the quotient will be a 3-digits number.

In the given options, the only 3-digits number is 609

Also, you can multiply 609 by 12 to check how reasonable your guess is.

⇒ 609 x 12 = 7308

The difference between 7315 and 7308 is 7.

The remaining number (7) is not up to 12 and when 7 is divided by 12 it will not give a whole number digit.

Therefore, the only reasonable quotient in the given options is 609.

5 0

2 years ago

Help me ...........................

Iteru [2.4K]

Answer:

They will be able to.

Step-by-step explanation:

You first want to make sure the first three families have enough to eat.

$6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}$

For further explanation look at the first image.

$3\frac{5}{8} > 2\frac{7}{8}$

Just to make sure

$3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}$

For further explanation look at the second image.

The rest of the images show a model solution.

7 0

2 years ago

The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010

Arturiano [62]

Answer:

b) When will the number of deer be 600?

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP!!! PLATO ALGEBRA 2

andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

= -64

(gof) (4) = g{f(4)} = g(-64)

= $\left|\frac{1}{8}\left(-64\right)-1\right|$

$=\left|-\frac{1}{8}\cdot \:64-1\right|$

$=\left|-8-1\right|$

$=\left|-9\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

$=9$

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0

2 years ago

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

2 years ago