abthat goes through points (0,19) Write an exponential function in the form y and (2,171).

Answer:

3x^2 + 12x - 15

Step-by-step explanation:

(x+5) * (x - 1) * 3

(x^2 + 5x - x - 5) * 3

(x^2 + 4x - 5) * 3

(3x^2 + 12x - 15)

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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Answer:

8-7x

Step-by-step explanation:

3x2-7x+2

6-7x+2

8-7x

Answer:

48

Step-by-step explanation:

In pemdas, powers and roots always come first

3 * 2^t

3 * 2^4

3 * 16

Then simplify the rest

48

Answer:

2.5896

Explanation:

Zero power rule: The zero exponent rule states that any number raised to a power of zero equals one.

10^0 is 1, so nothing changes

The domain and the range of the function are

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Answer:

3 and -10

Step-by-step explanation:

-6-(-9)=x

-6+9=x

3=x

34-44=x

-10=x

Answer:

Your answer is 416 + 13 \(\sqrt{5}\).

Step-by-step explanation:

Answer:

-5/2+-2

Step-by-step explanation:

I HOPE IT WILL HELP YOU.

Thank you.

Answer:

d

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other two sides , that is

y² + 8² = 10²

y² + 64 = 100 ( subtract 64 from both sides )

y² = 36  ( take square root of both sides )

y = \(\sqrt{36}\) = 6 cm

Answer:

(d)  6 cm

Step-by-step explanation:

As the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the side marked y.

Pythagoras Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)

From inspection of the given triangle:

Substitute these values into the formula and solve for y:

\(\begin{aligned}a^2+b^2&=c^2\\\implies 8^2+y^2&=10^2\\64+y^2&=100\\64+y^2-64&=100-64\\y^2&=36\\\sqrt{y^2}&=\sqrt{36}\\y&=6\end{aligned}\)

Therefore, the length of the side y is 6 cm.

Answer:

  x = 10

Step-by-step explanation:

Combining the logarithms, you have ...

 ln(20·5) = ln(x²)

  100 = x² . . . . . take the antilogs

  10 = x . . . . . . . take the positive square root

_____

Alternate solution

  ln(2·2·5) +ln(5) = 2·ln(x) . . . . . . . factor 20

  2ln(2) +ln(5) +ln(5) = 2·ln(x) . . . . rearrange ln(20)

  ln(2) +ln(5) = ln(x) . . . . . . . . . . . . divide by 2

  ln(10) = ln(x) . . . . . . . . . . . . . . . . combine logs on the left

  10 = x

_____

These solutions make use of the rules of logarithms ...

  ln(ab) = ln(a) +ln(b)

  ln(a²) = 2·ln(a) . . . . . same as the first rule for a=b

Answer:

3√2

Step-by-step explanation:

Distance (d) = \(\sqrt{((1 - -2)^2 + (3 - 6)^2)}\)

= \(\sqrt{((3)^2 + (-3)^2)}\)

= √18

= 3√2

Part a: The four layers can be stacked up to 1,000.

Part b: Most common value of x in this population $0 gift .

Part c: P(x ≥ 25) = 0.30.

Part d: P(x > 0) = 0.60

Part a: It is also anticipated that the students will donate nothing, or around 1000 x 0.40 = 400 of both.

To donors 10, about 1000 x 0.30 = 300.

1000 x 0.25 = 250 donors who gave $25, and 1000 x 0.05 = 50 donors who gave $50.

Its frequencies would approximate the likelihood but not exactly.

The four layers can be stacked up to 1,000.

Part b:

A $0 gift is the population's key value of x in point b, and 40% of students make this choice.

Part c: P(x ≥ 25)

P(x ≥ 25) = 0.25 + 0.05

P(x ≥ 25) = 0.30

Part d: P(x > 0)

P(x > 0) = 1 - P(x = 0)

P(x > 0) = 1 - 0.40

P(x > 0) =0.60

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the models aren't given..

Answer: no models given

Step-by-step explanation:

Answer:

MAR=180-165

=15 IS THE ANSWER

Answer:

For w = 2, x = 5, y = 8, and z = 3,

Explanation:

Given the expression:

for w = 2, x = 5, y = 8, and z = 3, we have:

Answer:

Step-by-step explanation:

We have a liner function

y=kx+b

Where   \(k=-\dfrac{2}{3}\) -slope  ; b-  y intersept

And we know  that it passes through the point (-3 ; 3 )

Then  :

\(\displaystyle -\frac{2}{3} \cdot( -3) +b=3 \\\\ b+2=3 \\\\ b=1 \\\\\)

We have function :

\(\displaystyle y=-\frac{2}{3} x+1\)

\(\rm \displaystyle y=\frac{4}{3}x-4 \\\\ \rm Where:\\\\ a) \ \frac{4}{3} -slope \\\\ b) -4\ - y\ \ intersept \\\\ c) \ The \ graph \ in \ attached \ file\)

SOLUTION

The given equation is:

Recall that the Commutative Property of mutiplication is given as:

Therefore the equation illustrates Commutative Property of Multiplication.

Answer:

3/8

Step-by-step explanation:

Values we are given :

We know that :

Therefore,

Answer:

10 years old

Step-by-step explanation:

lets break it down:

6 more means +6

four times means *4

so if her son is x years old, she is 4x+6

since we know she's 46, we know that 4x+6=46

now we just solve the equation

4x+6=46

-6 on both sides

4x=40

/4 on both sides

x=10

You have to divide 27 by 100 and that gives you .27.

If you multiply until you reach 32.13 with different numbers you get 19. It is a 19% increase.

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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Answer:

10

Step-by-step explanation:

it is 10 cause 634+10=644

Answer:

10

Step-by-step explanation:

What is the missing addend?

We can fill in the blank with x

634+x=644

Now we need to get x to the other side

The rule to do this is what we do on one side we have to do the same thing to the other side

so if we subtract 634 on one side we also have to do that on the other side as well:

634-634+x=644-634

634-634 is 0

So it is

x=644-634

644-634 is 10

x=10

So the missing addend is 10

Hope this helps!

Answer:

Step-by-step explanation:

Given that :

the null and the alternative hypothesis are computed as :

\(H_o: \mu_1 = \mu_2\)

\(H_a : \mu _1 \neq \mu_2\)

This is a two tailed test

This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .

Decision Rule: at the level of significance ∝ = 0 . 10

The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64

NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW

we use the rectangle rule

96-92=4 parts of 92 octane

98-96=2 parts of 98 octane

4x+2x=12

6x=12

x=2

4x=8 liters of 92 octane

2x=4 liters of 98 octane

Answer:

Step-by-step explanation:

The integers are: x, x+2

Them, x + x+ 2 = 36

2x +2 = 36