What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.

Answer:

y=(x/2)+5

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept form. To get that, we need y by itself so we have to add 3x to both sides: 6y=30+3x. Now we divide by 6 and rearrange the right side: y=(3x+30)/6.

y = (3x/6)+(30/6) => y = (x/2)+5. We also know that the slope is 1/2 and the y-intercept is 5 because of the slope-intercept equation.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

False

Step-by-step explanation:

A radiys is the length of the line that connects the center of the circle with any of the points on the circumference of the circle.

\(Question\)

a radius does not have to go through or connect to the center of the circle?

Answer:

The Answer Is False

Step-by-step explanation:

to being a measure of distance, a radius is also a segment that goes from a circle's center to a point on the circle

Hope this helps!

-xXxAnimexXx-

Answer:

(3, -1)

Step-by-step explanation:

5-2=3

0-1=-1 (keep 0, change - to a +, flip 1 to a -1)

Answer:

D. 41°

Step-by-step explanation:

\((3x + 9) \degree = 132 \degree \\ (vertical \: \angle s) \\ 3x + 9 = 132 \\ 3x = 132 - 9 \\ 3x = 123 \\ x = \frac{123}{3} \\ x = 41 \\ \\ \because m\angle QRS =x\degree \\\therefore m\angle QRS = 41\degree \)

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

Step-by-step explanation:

A person selected by others to run for office is the nominee.

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

Answer:

The answer is A (1,-3/2)

Step-by-step explanation:

Add both x coordinates, divide by 2

Add both y coordinates, divide by 2

Answer:

part of it is cutted out show a better picture please ill answer it

Step-by-step explanation:

Answer:

70% of 17 is 11.9

Step-by-step explanation:

Answer:

11.9

Step-by-step explanation:

Answer:

can you show us the table? might give us more data than the question.

Answer:

$5.83 in taxes.

Step-by-step explanation:

Discounted price of pants: 23.50 × (1 - 0.3) = 16.45

Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875

Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875

2 pants, 3 shirts, and 1 hat:  16.45(2) + 12.1875(3) + 8.2875(1) = 77.75

Sales tax: 77.75 × 0.075 = 5.83125

Rounded to nearest cent: $5.83 in sales tax

9514 1404 393

Answer:

  (-3 1/2, 1 1/4)

Step-by-step explanation:

For some point P, we want ...

  (P -A)/(B -A) = 3/4

  4P -4A = 3B -3A

  4P = 3B +A

  P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4

  P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

715,827,882

Step-by-step explanation:

Sum of the first n terms of a geometric series:

\(\boxed{S_n=\dfrac{a(1-r^n)}{1-r}}\)

where:

Given geometric sequence:

2, 8, 32, ...

To find the common ratio r, divide consecutive terms:

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{8}{2}=4\)

Therefore:

To find the sum of the first 15 terms of the given geometric sequence, substitute n = 15 into the formula, along with the found values of a and r:

\(\begin{aligned}S_n & =\dfrac{a(1-r^n)}{1-r}\\\\\implies S_{15} & =\dfrac{2(1-4^{15})}{1-4}\\\\& =715,827,882\end{aligned}\)

Therefore, the sum of the first 15 terms for the given geometric sequence is 715,827,882.

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Answer:

hello

[( 2 ² * 6 ⁰ ) / 7 ] ³

=  ( 2 ⁶ * 1 ³) / 7 ³

= ( 64 *1 ) / 343

=   64/343

Step-by-step explanation:

The value of x is 9 and the measure of each side is 35 units.

A triangle is said to be equilateral if each of its three sides is the same length.

In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given, Triangle QRS is an equilateral triangle.  

QR is seventeen more than twice x ---> QR = 17 + 2x

RS is 19 less than six times x, ---> RS= 6x - 19

And QS is one less four times x, ---> QS = 4x -1

We have to find x and measure of each side.

Now, we know that, the sides of an equilateral triangle are equal,  

If we solve for RS and QS, we find they are both equals to 35.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Check the picture below.

Step-by-step explanation:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

\(\frac{25}{5} = \frac{5x}{5}\)

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

There is sufficient statistical evidence at 5% level of significance that there is   relationship between degree attainment and AGEKDBRN for women.

What is ANOVA model for men?

To ascertain whether there are any statistically significant differences between the means of three or more independent (unrelated) groups, the one-way analysis of variance (ANOVA) is used.

An n-way ANOVA allows a researcher to employ more than two independent variables (with n being the number of independent variables you have). For instance, any disparities in IQ scores can be investigated concurrently by country, gender, age group, ethnicity, etc.

Relationship between degree attainment and AGEKDBRN for women

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Answer:   get smarter

Step-by-step explanation: hehe

Answer:

the answer your looking for is B