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Grace [21]
3 years ago
15

4x − 1 < 11 solve for x

Mathematics
1 answer:
kvv77 [185]3 years ago
8 0

Answer:

\huge \boxed{x < 3}

Step-by-step explanation:

4x - 1 < 11

Add 1 on both sides.

4x - 1 + 1 < 11 + 1

4x < 12

Divide both sides by 4.

(4x)/4 < 12/4

x < 3

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olganol [36]
The answer is right above me yw lol
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3 years ago
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
Help with Geometry Homework Please?
Harrizon [31]
The answer for the first slot is Alternate Interior Angles Theorem
Angle B and angle G are inside the "train tracks" formed by AB and GH. They are on opposite sides of the transversal line BG.

Along a similar line of reasoning, the answer for the second slot is Alternate Exterior Angles Theorem
The two parallel lines in question are AC and FH. The transversal line is FC. Angles ACB and HFG are on the exterior of the "train tracks" formed by the parallel lines.
3 0
3 years ago
Please help this is hard math
Rainbow [258]

Answer:

y=-4x+2

Step-by-step explanation:

  • First we find the slope of the line AB passing through the point (2,0)
  • line AB is perpendicular to the line y=\frac{1}{4}x-3 , this equation is slope intercept for, which is y=mx+b so our m or slope is \frac{1}{4}
  • Since the slope of line AB is perpendicular to m=\frac{1}{4} then we use the equation slope of line1\times slopeofline2=-1 , so what do we multiply \frac{1}{4} by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
  • Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
  • So we make the equation y-y_1=m(x-x_1) so m= -4 and our point is (-1,6)
  • y-(6)=-4(x-(-1)\\y-6=-4x-4\\y=-4x-4+6\\y=-4x+2 thats the equation of line side CD
6 0
3 years ago
Read 2 more answers
You will begin with a relatively standard calculation. consider a concave spherical mirror with a radius of curvature equal to 6
vodomira [7]
We are given a concave spherical mirror with the following dimensions:

Radius = 60 cm; D o = 30 cm
Height = 6 cm; h o = 6 cm

First, we need to know the focal length, f, of the object (this should be given). Then we can use the following formulas for calculation: 

Assume f = 10 cm

1/ f = 1 /d o + 1 / d i
1 / 10 = 1 / 30 + 1 / d i

d i = 15 cm

Then, calculate for h i:

h i / h o = - d i / d o

h i / 6 = - 15 / 30

h i = - 3 cm

Therefore, the distance of the object from the mirror is 3 centimeters. The negative sign means it is "inverted". 
6 0
3 years ago
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