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3 years ago

Question in photo!! Will mark Brainlyist

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

Answer:

Option B.

$a$

Step-by-step explanation:

Given:

-3( -x + a ) + 7 < 5 When x = -1

To Find:

a ?

Solution:

-3( -x + a ) + 7 < 5 When x = -1

Substitute x = -1 in above we get

-3(-(-1) + a ) + 7 < 5

-3(1 + a) < 5 - 7

Using Distributive Property we get i.e A(B+C) = AB + AC

$\therefore -3\times 1 +(-3)\times a$

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60% of what number is 21

Lerok [7]

60% of 35 is 21

Change the percentage (60) into a decimal by dividing it over 100:
$\frac{60}{100} = 0.6$

Divide 21 by the decimal:
<span> $\frac{21}{0.6} = 35$ </span>

3 0

3 years ago

Read 2 more answers

Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

8 0

3 years ago

Let m = 6x +5.<br> Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?

aev [14]

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

7 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

BartSMP [9]

Answer:

d = √5 ≈ 2.24

Step-by-step explanation:

B is located at (1, 3) and B' is located at (3, 4)

Distance formula:

[tex] d = \sqrt{(xB' - xB)^2 + (yB' - yB)^2}[\tex]

replacing with the coordinates of the points:

[tex] d = \sqrt{(3 - 1)^2 + (4 - 3)^2}[\tex]

[tex] d = \sqrt{4 + 1}[\tex]

d = √5 ≈ 2.24

6 0

3 years ago

What is the mode of 3 6 9 7 4 6 7 0 7

konstantin123 [22]

Answer:

7 cause mode is the most occurring number

8 0

2 years ago