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3 years ago

9x - y - y when x=6 and y=3 Thank you!

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:48

Step-by-step explanation: 9(6) -3-3

=54 -3-3

=51-3

=48

Plug in x as 6 and plug in the 2y as 3 .And you subtract them from left to right (54-3-3)which gives u 49.

Hope it helps :)!

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PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!

NISA [10]

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

5x + 3 = 6 {Subtract 3 from both sides}

5x + 3 - 3 = 6-3

5x = 3 {Divide both sides by 5}

5x/5 = 3/5

x = 3/5

8 0

3 years ago

Give the properties for the equation -2x 2 - y + 10x - 7 = 0.

Sladkaya [172]

Given:

The quadratic equation is

$-2x^2-y+10x-7=0$

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is $f(x)=ax^2+bx+c$ , then

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

We have,

$-2x^2-y+10x-7=0$

It can be written as

$-2x^2+10x-7=y$

$y=-2x^2+10x-7$ ...(i)

Here, $a=-2,b=10,c=-7$ .

$\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}$

$\dfrac{-b}{2a}=\dfrac{-10}{-4}$

$\dfrac{-b}{2a}=\dfrac{5}{2}$

Putting $x=\dfrac{5}{2}$ in (i), we get

$y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7$

$y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7$

$y=\dfrac{-50}{4}+25-7$

$y=\dfrac{-25}{2}+18$

On further simplification, we get

$y=\dfrac{-25+36}{2}$

$y=\dfrac{11}{2}$

So, the vertex of the given quadratic equation is $\left(\dfrac{5}{2},\dfrac{11}{2}\right)$ .

Therefore, the correct option is A.

3 0

3 years ago

A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl

dusya [7]

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

$\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3$

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise

Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise

Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise

Our null and alternative hypothesis can be stated as;

Null hypothesis :

$H_0 :$ The quarterly growth rate in the number of contracts is not significantly different from 0% (? = 0.05)

$H_a:$ The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From the missing omitted part we added above; we can see that the t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

4 0

3 years ago

Premises: If a person has insufficient vitamin K, there will be a prothrombin deficiency. Mr. Keene does not have a prothrombin

Jet001 [13]

Answer:

The conclusion is Mr. Keene has sufficient vitamin K.

Step-by-step explanation:

Consider the provided statement.

The law of detachment involves two quantities, one is hypothesis and another is conclusion.

In the provided statement hypotheses and conclusion is:

Hypotheses (P): Person has insufficient vitamin K

Conclusion (Q): There will be a prothrombin deficiency.

Here if a person has insufficient vitamin K that means there must be prothrombin deficiency, but if a person has prothrombin deficiency we can't say anything.

Now it is given that Mr. Keene does not have a prothrombin deficiency.

That means he has sufficient vitamin K

Hence, the conclusion is Mr. Keene has sufficient vitamin K.

The required diagram is shown in figure.

5 0

3 years ago

Please help worth a lot of points!!!

V125BC [204]

Let's solve this problem step by step

$2x+3=4(x-6)$ | Given Equation

$2x+3=4x-24$ | Distributive Property of Multiplication over subtraction

$3=2x-24$ | Subtraction Property of Equality

$27=2x$ | Subtraction Property of Equality

$\frac{27}{2}=x$ | Division Property of Equality

Definition of each property:

Distributive Property of Multiplication over subtraction: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.
Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the same
Division Property of Equality: if the same value is divided from two equal sides, the equation remains the same

Hope that helps!

8 0

2 years ago