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Volgvan
3 years ago
11

-4x +9 - 3x + 10 =4

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

x = 15/7

Step-by-step explanation:

Combine x terms together.

-7x + 9 + 10 = 4

Now add 9 and 10 to get 19.

-7x + 19 = 4

Subtract 19 from both sides.

-7x = -15

Divide -7.

x = 15/7

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(3 x 10^6) x (3 x 10^ 5)
OleMash [197]

Answer:

9*10^{11}

Step-by-step explanation:

we have

(3*10^{6})*(3*10^{5})

we know that

(a*10^{b})*(a*10^{c})=(a*a)*10^{(b+c)} -----> the bases are multiplied and the exponents are added up

so

in this problem

(3*10^{6})*(3*10^{5})=(3*3)*10^{(6+5)}

=9*10^{11}

4 0
3 years ago
Convert 1.05 to a percent
iragen [17]
105% <span>Just move the decimal to the right 2 places or multiply times 100, same thing</span>
3 0
3 years ago
Read 2 more answers
An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c
rewona [7]

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable.  The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal".  And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0
3 years ago
Which of the following is the solution to the differentiable equation dy/dx=4x/y, where Y(2)=-2
aliya0001 [1]

First we'll substitute \frac{dy}{dx} with y'

y'=\frac{4x}{y}

Then we can separate this.

yy'=4x

Then we'll solve this.

yy'=4x: \frac{y^2}{2}=2x^2+c_1

\frac{y^2}{2}=2x^2-6

y=2\sqrt{x^2-3},y=-2\sqrt{x^2-3}

Then we'll plug in to find the extraneous solutions (if any)

y=-2\sqrt{x^2-3}

7 0
4 years ago
??????????????????????
ale4655 [162]

Answer:

Area = 58 \ units^2

Step-by-step explanation:

We can start by finding the third side of the triangle/the side of the square using the Pythagorean Theorem:

a^2+b^2=c^2

In this case the side length of the square would be represented by the variable "c" as it is the hypotenuse:

3^2+7^2=c^2

9+49=c^2

c^2=58

c=\sqrt{58}

Since the area of a square is the side length square then...

Area =( \sqrt{58} )^2

The square root and the squared cancel out giving us...

Area = 58 \ units^2

3 0
3 years ago
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