Factor completely 8y^2+6y+1

Answer:

x=0.5

Step-by-step explanation:

6x=4-2x

8x=4

x=1/2

Answer:

0.5

Step-by-step explanation:

You solve it as a 2-step equation.

0.6x=0.4-0.2x

Isolate the variables ((add 0.2x to both sides since that it how you get rid of it at the right))

Your equation should now be

0.8x=0.4

Divide both sides by 0.8 in order to get x by itself

x=0.5

Answer:

y = (-1/2)x

Step-by-step explanation:

The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).

So all that's left to calculate is the offset b of a line

y = -1/2 x + b  

such that it passes through (4,-2). Filling in that point gives:

-2 = -1/2*4 + b

so b = 0!

y = -1/2x is the answer

Line perpendicular to  y = 2x - 5 is  y = (-1/2)x.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know perpendicular lines have slopes that are negative reciprocal of each other.

The given line y = 2x - 5, has a slope of 2.

So, the given line will have a slope of (-1/2) passing through point (4,-2).

∴ - 2 = (-1/2)(4) + b.

- 2 = - 2 + b.

b = 0.

∴ y = (-1/2)x is our required line.

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[tex]\boxed{y=-1}[/tex]

In order to solve this problem, let's remember the point-slope form of the equation of a line:

[tex]y-y_{1}=m(x-x_{1}) \\ \\ m:slope \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line[/tex]

We know two points:

[tex](x_{1},y_{1})=(-4, -1) \\ \\ (x_{2},y_{2})=(6, -1)[/tex]

So:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{-1-(-1)}{6-(-4)} \\ \\ m=0[/tex]

So this is a constant line (slope equals zero). Therefore, every point has a y-coordinate [tex]y=-1[/tex]. In other words, the equation is:

[tex]\boxed{y=-1}[/tex]

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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:

390, 000

Step-by-step explanation:

For every week, 1250 widgets is produced in one week

For 312 weeks, the number of widgets will be

312* 1250 = 390, 000

Answer:

Step-by-step explanation:

1250*3.5=4375

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:

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 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:

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:

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]

As you missed to add the diagram. After a little research, I was able to find the diagram, and hence, I am answering based on that diagram which anyways would clear your concepts. Diagram is also attached below.

Answer:

q ∧ p represents the region B.

Step-by-step explanation:

From the attached diagram, it is clear that

Here is the truth table

T           T             T  

T            F            F

F            T            F

F            F            F

Therefore, q ∧ p represents the region B.

Keywords: truth table, AND operation

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Answer:

q /\ p

Step-by-step explanation:

just took the test

Answer:

41

Step-by-step explanation:

6 pears ×6 bags +5 leftovers = You've started with 41 pears.

Answer:

180

Step-by-step explanation:

what you do is you want to do is 6x6=36 so you got your first answer then what you want to do next is 36x5=180 so 180 is your answer

The equation used to find the cost of student ticket is:

[tex]13x + 3.50 + 3x + 18.50 = 50[/tex]

Solution:

Given that,

A teacher brings $50 to pay for museum  admission

She buys an adult ticket for $3.50 and 13 student tickets

Cost of adult ticket = $ 3.50

Let "x" be the cost of each student ticket

Three students arrive late  so she buys 3 more student tickets

She has $18.50 left

The equation used to find the cost of student ticket is:

Cost of adult ticket + 13 student tickets x cost of each student ticket + 3 student ticket x cost of each student ticket = 50 - 18.50

[tex]3.50 + 13x + 3x = 50-18.50\\\\13x + 3.50 + 3x + 18.50 = 50[/tex]

Thus the above equation is used

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: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:

56:190

Step-by-step explanation:

That's the ratio?

I'm not sure what the question is asking.

Answer:

28:95

Step-by-step explanation:

if u have 56 apples to 190 candy bars, whats the ratio ?

the ratio of apples to candy bars = 56/190 which reduces to 28/95

so the ratio is 28:95 <===

Answer:

B.

Step-by-step explanation:

The sine is opposite side / hypotenuse so

sin P  = ST / PS and QR / PQ.

Answer:

Option 2

Step-by-step explanation:

SinP=ST/PS

Or

SinP=QR/PQ

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:

The correct option is b.) $2.28

Step-by-step explanation:

i) the gas tank is of 15 gallons

ii) there are three gallons left in the gas tank

iii) therefore the tank has to be filled with 15 - 3 = 12 gallons

iv) lower grade of gasoline costs $2.96 per gallon

v) the upper grade of gasoline costs $3.15 per gallon

vi) the cost of filling the tank with the lower grade gasoline

   = 12 [tex]\times[/tex] 2.96 = $35.52.

vii) the cost of filling the tank with the lower grade gasoline

    = 12 [tex]\times[/tex] 3.15 = $37.80

viii) therefore  the difference in the cost of filling your tank between the two grades

  = $37.80 - $35.52 = $2.28

Therefore the correct option is b.) $2.28

Final answer:

The difference in the cost of filling the 15-gallon gas tank between the two grades of gasoline is $2.28.

Explanation:

Firstly, let's calculate how many gallons are needed to fill the car's tank completely, since it currently has 3 gallons left in a 15-gallon tank. This means the car requires 15 - 3 = 12 gallons of gasoline to be filled up.

Next, we calculate the cost to fill up the car with the lower grade gasoline that costs $2.96 per gallon. The cost for 12 gallons would be 12 x $2.96 = $35.52.

Then, we calculate the cost to fill up the car with the premium gasoline that costs $3.15 per gallon. The cost for 12 gallons would be 12 x $3.15 = $37.80.

Finally, to find the difference in cost between the two grades of gasoline, we subtract the lower cost from the higher cost: $37.80 - $35.52 = $2.28. Hence, the difference in cost is $2.28, so the correct answer is option (b).

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:

4.5

Step-by-step explanation:

The equation above is such that we find the value of p. Therefore, it is calculated thus:

0.5p - 3.45 = -1.2

Add 3.45 to both sides of the equation

0.5p - 3.45 + 3.45 = -1.2 + 3.45

0.5p = 2.25

Divide both sides by 0.5

0.5p/ 0.5 = 2.25/0.5

p = 4.5

Answer: The answer is 4.5

Step-by-step explanation:

0.5p - 3.45 = -1.2

So basically, you take everything on the left of the equal sign (0.5p-3.45) then since the sign is telling you to subtract, you use the inverse operation, so you would add 0.5 to the 3.45 and to the -1.2. So when you add the 0.5 to the 3.45, it cancels out, and when you add it to the -1.2, you should get 2.25. Then now that your done adding, your expression should be: 0.5p = 2.25. Then, now that you have 0.5p = 2.25, and there is no sign, multiplication is expected, but since were using the inverse operation, were dividing. So, 0.5p divided by 0.5 cancels out, and then you divide the 2.25 by 0.5 and you should get 4.5 after dividing. So, your final answer should be p = 4.5.

Hope this helps!!  

Answer: 5 is the radius because it is half of 10 in the circle

Step-by-step explanation:

Answer:

Circumference is 31.4.

Area is 78.4^2.

Step-by-step explanation:

Circumference = pi times diameter.

3.14 times 10 is 31.4.

Area = 1/4 pi diameter squared.

10^2 = 100

100 times 3.14 = 314

314 times 1/4 is 78.5.

I hope this helps you!

Answer:

choice 2 is correct

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:

( -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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Answer:

Ans = 15/32

Step-by-step explanation:

-3/4 / (-8/5)

= -3/4 ÷ (-8/5)

= -3/4 * -5/8

= 15/32 (- * - = +)

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

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:

I believe the answer is angle A.

Step-by-step explanation:

I think it is angle A because INCLUDED angle between WA AS and only angle a is included in both. Hope this helps.

Answer:

Step-by-step explanation:

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