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how many and what type of solutions does the equation have 17+3x^2=6x
A. no real solution
B. one real solution
C. two rational solutions
D. two irrational solutions

Step-by-step explanation:

[tex] \because \sin \theta = \cos \theta \\ \\ \therefore \: \sin \theta = \sin(90 \degree - \theta) \\ \\ \therefore \: \theta = 90 \degree - \theta \\ \\ \therefore \: \theta + \theta= 90 \degree \\ \\ \therefore \: 2\theta = 90 \degree \\ \\\therefore \: \theta = \frac{90 \degree }{2} \\ \\ \huge \orange{\boxed{\therefore \: \theta = 45 \degree}}\\ \\[/tex]

Answer: 5 brownies

Step-by-step explanation:

cookies = 5 x $0.50 = $2.5

$15 - $2.5 = $12.5

$12.5 divided by $2.25 = $5.555

so at the most ella can buy 5 brownies if she buys 5 cookies

Answer:

If each cookie is .50 and she wants to buy 5 cookies @ .50= $2.50

Than subtract $2,50 from $15.00 (which she has to spend you have $12.50

Then divide 2.25 into $12.5 and you get an answer of 5 brownies with a $1.30 extra to spend

Step-by-step explanation:

Answer:

choice 2 is correct

Answer:

right triangles

always

Step-by-step explanation:

Similar triangles are obtained by rise/run

Since the ratio for all triangles are the same, they have the same slope.

Answer:right triangles

always

Step-by-step explanation:

The length of the rectange is 20ft and width of the 5ft.

Step-by-step explanation:

Let us consider a rectangle and its area is known to be 100 sq ft.

We are given the information that the length of the rectangle is 10ft longer than twice its width.

⇒Length l = 2w+10.

Where w is the width of the rectangle.

The formula for area of the rectangle A = length × width.

A= (2w+10)×w.

100 = [tex]2w^2+10w[/tex].

0=[tex]2w^2+10w-100[/tex].

Thus it forms an quadratic equation we have to solve for the solution.

0=(2w-10)(w+10).

2w-10=0.    w+10=0.

2w=10.        w=-10. (negative value cannot be choosed.)

w=[tex](\frac{10}{2} )[/tex].        

w=5ft.

Thus width is is 5 ft.

Length = 2(5)+10.

=10+10.

=20ft.

Thus the length is 20ft.

Answer:

look at the picture shown

The solution to the system of equations 3x+2y=-10 and 2x-5y=3 using the elimination method is x = -44/19 and y = -29/19.

To solve the system of equations 3x+2y=-10 and 2x-5y=3 using the elimination method, we need to multiply the equations by respective constants so that a variable gets eliminated when we add or subtract them. Let's try to eliminate y.

Multiply the first equation by 5 (the coefficient of y in the second equation) and the second equation by 2 (the coefficient of y in the first equation):

5*(3x+2y) = 5*(-10)

2*(2x-5y) = 2*3

15x + 10y = -50

4x - 10y = 6

Add the two equations:

(15x + 10y) + (4x - 10y) = -50 + 6
19x = -44

Divide both sides by 19 to solve for x:

x = -44/19

x = -44/19

Now substitute x back into one of the original equations to solve for y:

3x + 2y = -10

3*(-44/19) + 2y = -10

Multiply 3 by -44/19:

-132/19 + 2y = -10

Now solve for y:

2y = -10 + 132/19

2y = (-190/19) + (132/19)

2y = -58/19

Divide by 2:

y = -58/38

y = -29/19

Therefore, the solution to the system of equations is x = -44/19 and y = -29/19.

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Answer:

So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex].

Step-by-step explanation:

If we are looking for a line such that is is perpendicular bisector of AB, then we first need to find the midpoint of AB.

The midpoint of AB is going to be the "average" point.  

What I mean by this, to find the x-coordinate of the midpoint we need to average our x-coordinates of our endpoints and we also need to do the same for the y-coordinate part.

Let's begin this.

The average of the x-coordinates of the endpoints are:

[tex]\frac{2+5}{2}=\frac{7}{2}[/tex]

The average of the y-coordinates of the endpoints are:

[tex]\frac{6+(-2)}{2}=\frac{4}{2}=2[/tex]

This concludes the midpoint of AB is [tex](\frac{7}{2},2)[/tex].

Now we also need to calculate the slope of [tex]AB[/tex] so we can find the slope of the line perpendicular to it.

To do this we could use [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Without using the formula directly, I like to line the points up vertically and subtract. I then put the 2nd difference over the first difference. Like so,

  [tex](5,-2)[/tex]

-[tex](2,6)[/tex]

----------------------

[tex]3 , -8[/tex]

So the slope is [tex]\frac{-8}{3}[/tex].

The line that is perpendicular to the line AB will have an opposite reciprocal slope.

So the line we are looking for has slope [tex]\frac{3}{8}[/tex].

So we are looking for a line going through the midpoint [tex](\frac{7}{2},2)[/tex] and has slope [tex]\frac{3}{8}[/tex].

A line in slope-intercept form is [tex]y=mx+b[/tex].

We know [tex]m=\frac{3}{8}{/tex] and we know a point [tex](x,y)=(\frac{7}{2},2)[/tex]. We could plug this in to find [tex]b[/tex].

Let's do that now.

[tex]2=\frac{3}{8}(\frac{7}{2})+b[/tex]

Simplify:

[tex]2=\frac{21}{16}+b[/tex]

Subtract 21/16 on both sides:

[tex]2-\frac{21}{16}=b[/tex]

Find a common denominator:

[tex]\frac{32}{16}-\frac{21}{16}[/tex]

[tex]\frac{11}{16}[/tex]

So the line that is a perpendicular bisector of AB is [tex]y=\frac{3}{8}x+\frac{11}{16}[/tex].  This is so because the line we found will be perpendicular to AB while also cutting AB into two equal halves.

Answer:

the difference between a data value in a set and the mean of the set. the mean of all deviations in a set equals zero. absolute value. the distance of any value on a number line from zero. the sum of the absolute values of deviations on each side of the mean are equal.

Step-by-step explanation:

A data set that has a mean absolute deviation of 0 means the average difference between  the elements in a data set and mean of the same data set is very less.

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

As we know the mean absolute deviation is the average distance between each data point and the mean.

If more than 50% of your data have identical values, your MAD will equal zero.

Also, the mean absolute deviation of a dataset is the average distance between each data point and the mean.

If the mean absolute deviation (MAD) is close to 0,it means the average difference between the elements in a data set and mean of the same data set is very less.

Thus,  the average difference between  the elements in a data set and mean of the same data set is very less.

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Answer:

48 to 27

48:27

48/27

Answer:

[tex]16/9[/tex],   [tex]1\frac{7}{9}[/tex]   and [tex]1.78[/tex]

Step-by-step explanation:

The Given fraction is getting divided by 3 .

Simplifying the fraction

[tex]48/27\\= 16/9\\[/tex]  

Or, This proper fraction can be written in mixed fraction

                                   [tex]1\frac{7}{9}[/tex]

Where 1 is the quotient and 7 is the remainder on dividing.

This improper fraction can be reconverted to the proper fraction by

                            [tex](9*1)+7/7=16/7[/tex]

Also this fraction can be written in decimals by dividing it after the decimal that gives

                             [tex]16/9=1.78[/tex]

Answer

you put an open circle on -2 on the number line and continue the line into negative infinity ( the left side of the number line)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(-4x-3) = 20

Opening bracket

12x + 9 = 20

12x = 20 - 9

12x = 11

x = 11/12

Answer:

( -7, -2)

Step-by-step explanation:

3x + 19 = 5x + 33

x = -7

y= 3x ( - 7) + 19

y= -2

(x, y) = (-7,-2)

The x and y value is -7 and -2.

Given that,

Based on the above information, the calculation is as follows:

3x + 19 = 5x + 33

3x - 5x = 33 - 19

-2x = 14

x = -7

Now put the value of x in any of the above equation

So,

y = 3x + 19

= 3(-7) + 19

= -21 + 19

= -2

Therefore we can conclude that the x and y value is -7 and -2.

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The slope formula for the line that passes through the points (3, 7) and (5, 7) is (7-7)/ (5-3).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have points (3, 7) and (5, 7).

So, the slope of line passes through the given points

= ( 7 - 7) / (5-3)

= 0- 2

= 0

Thus, the slope formula is (7-7)/ (5-3).

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The correct expression for the slope between points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3, which equals 0, indicating a horizontal line.

To find the slope of a line passing through the points (3, 7) and (5, 7), we use the slope formula m = (y2 - y1) / (x2 - x1).

For the points (3, 7) and (5, 7), the correct way to set up the slope formula is: (7 - 7) / (5 - 3).

This simplifies to m = 0 / 2, which equals 0.

Therefore, the correct expression that shows the slope for the line that passes through the points (3, 7) and (5, 7) is D) 7 - 7/ 5 - 3.

answer: about 165 lbs

to go from kilograms to pounds, you multiply by 2.205 to get the approximate answer.

75x2.205≈165

The missing values are 11, 8, 5 and 2 respectively.

The picture of the question in the attached figure

we have

y=-3x+5

Substitute the different values of x in the linear equation, to obtain the

different values of y in the table

For x-2-> y=-3(-2)+5=11

For x=-1-> y=-3(-1)+5=8

For x-0->9=-3(0)+5=5

For x-1->y=-3(1)+5=2

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Answer:

=9y^2−4

Step-by-step explanation:

3y−2)(3y+2)

=(3y+−2)(3y+2)

=(3y)(3y)+(3y)(2)+(−2)(3y)+(−2)(2)

=9y^2+6y−6y−4

=9y^2−4

Answer:

9y^2-4

Step-by-step explanation:

(3y-2)(3y+2)

9y^2-6y+6y-4

9y^2-4

Answer:

Step-by-step explanation:

x³+6x²-3x-5)-3x⁵+11x⁴+33x³-26x²-36x-6(-3x²+29x-150

                   -3x⁵-18x⁴+9x³+15x²

                  -------------------------------

                        29x⁴+24x³-41x²-36x-6

                      29x⁴+174x³-87x²-145x

                    ------------------------------------

                             -150x³+46x²+109x-6

                             -150x³-900x²+450x+750

                            --------------------------------------

                                        946x²-341x -756

Therefore

-3x⁵+11x⁴+33x³-26x²-36x-6=(x³+6x²-3x-5)(-3x²+29x-150)+ 946x²-341x -756

Answer:

Y = 9X-29

Step-by-step explanation:

y = mx + b

P1 : ( 4 , 7 )

m = 9

using equation of line ,

y = mx + b

7 = ( 9 ) (4 ) + b

7 - 36 = b

b = -29 ,

hence equation of line is ,

y = 9x - 29  answer

Answer:

y - 7 = 9(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 9 and (a, b) = (4, 7), thus

y - 7 = 9(x - 4) ← equation in point- slope form

Answer:

2 x 2 x 2 x 2 x 2 x 5 x 13

Step-by-step explanation:

The Prime Factorization is:

2 x 2 x 2 x 2 x 2 x 5 x 13

In Exponential Form:

25 x 51 x 131

CSV Format:

2, 2, 2, 2, 2, 5, 13

The prime factors of 2080 are 2, 2, 2, 2, 5, and 13.

Divide 2080 by the smallest prime number, which is 2:

2080 ÷ 2 = 1040

Continue dividing by 2:

1040 ÷ 2 = 520

Continue dividing by 2:

520 ÷ 2 = 260

Continue dividing by 2:

260 ÷ 2 = 130

Continue dividing by 2:

130 ÷ 2 = 65

Now, 65 is not divisible by 2.

Move to the next prime number, which is 5:

65 ÷ 5 = 13

13 is a prime number.

So, the prime factors of  2080 are 2, 2, 2, 2, 5, and 13. In exponential form, this can be written as 24 * 5 *13.

Answer:

630 miles :)

Step-by-step explanation:

Answer:

630 miles

Step-by-step explanation:

3 hours times 3 = 9 hours

210 miles times 3 = 630 miles

Answer: [tex]C)62\°[/tex]

Step-by-step explanation:

For this exercise it is necessary to remember the definition of "Vertical angles".

Vertical angles are defined as those angles that are opposite to each other and share the same vertex. These angles are congruent, which means that they have equal measure.

You can identify in the picture that [tex]\angle XQL[/tex] and [tex]\angle MQR[/tex] are Vertical angles, then they are congruent.

Based on the above, you can set up the following equation:

[tex]-5b+82=-3b+74[/tex]

Now you must solve for "b" in order to find its value:

[tex]82-74=-3b+5b\\\\8=2b\\\\\frac{8}{2}=b\\\\b=4[/tex]

Finally, substituting the value of "b" into [tex]\angle XQL=-5b+82[/tex] and evaluating, you get:

[tex]\angle XQL=-5(4)+82\\\\\angle XQL=62\°[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Truck D

Step-by-step explanation:

36:4 = 9 best mpg

Answer:

5/3

Step-by-step explanation:

Left hand side

-2 1/3

it becomes

-2/3

now add 5/3

5/3 - 2/3

by Elysium

(5-2)/3

3/3

So, which is equal to right side

Rewrite the numbers as improper fractions:

2 3/5 = 13/5

-3 3/4 = -15/4

Now you have 13/5 divided by -15/4

When dividing fractions flip the second one over and then multiply:

13/5 x -4/15 = (13 x -4) / (5 x15) = -52/75

To infuse the prescribed solution each hour, the nurse should administer 51 mL.

To calculate the amount of solution that should be infused each hour, we first need to calculate the weight of the patient in kilograms. We can do this by converting the weight from pounds to kilograms using the conversion factor of 0.4536 kg/pound. So, the weight of the patient in kilograms is 14 pounds x 0.4536 kg/pound = 6.3504 kg. Next, we multiply the weight in kilograms by the infusion rate of 8 mL/kg/hr to find the total volume of solution to be infused each hour. Thus, the nurse should infuse 6.3504 kg x 8 mL/kg/hr = 50.8032 mL, which can be rounded to 51 mL each hour.

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Each animal require 3 balloons.

Step-by-step explanation:

Let 'x' be the number of balloon poodles.

Let 'y' be the number of balloon giraffes.

Multiply eqn (1) by 2 and subtract eqn(2) from eqn(1),

   4x+4y = 24

(-) 4x+5y = 27

      -y = -3  

⇒ y=3

⇒ Number of balloon giraffes = 3

Substitute y=3 in eqn(1)

⇒ 2x+2(3) = 12

⇒ 2x+6=12

⇒ x = 6/2

⇒ x = 3

⇒ Number of balloon poodles = 3

Answer:

7.43

Step-by-step explanation:

52/7 = 7.4285714...

that can be shortened to 7.43

7.43

Step-by-step explanation:

52/7 = 7.428

Answer:

Factors are: 3x+8 & 4x-1

Step-by-step explanation:

12x² + 29x - 8

12x² + 32x - 3x - 8

4x(3x + 8) -1(3x + 8)

(3x + 8)(4x-1)

Answer:

3x+8

Step-by-step explanation:

Yall know i be doing edg2020 to right?

Answer:12 m

10π40π = 62x2

x = 12

When circles have the same central angle measure, the ratio of measure of the sectors is the same as the ratio of the radii squared.

Step-by-step explanation:

Answer:

The answer is actually (-4, -0.5, 1) in order from least to greatest.

Step-by-step explanation:

A system of equation is a collection of more than one equation

The equation is given as:

[tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex]

Split the equation to a system of equations:

[tex]y = 2x^3 + 4x^2 - x + 5[/tex]

[tex]y= -3x^2 + 4x + 9[/tex]

So, the system of equations to determine the roots of [tex]2x^3 + 4x^2 - x + 5 = -3x^2 + 4x + 9[/tex] are [tex]y = 2x^3 + 4x^2 - x + 5[/tex] and [tex]y= -3x^2 + 4x + 9[/tex]

See attachment for the graphs of [tex]y = 2x^3 + 4x^2 - x + 5[/tex]

[tex]y= -3x^2 + 4x + 9[/tex]

The graphs of both functions intersect at x = -0.5, and x = 1

Hence, the roots of the polynomial equation are -0.5 and 1

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