Select the two values of x that are roots of this equation.
2x - 5 = -3x2
O A. X = 1
B. x= -1
C. X = 3
D. x =

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

Decrease; narrower.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

A confidence interval can be defined as a measure of the number of times that a population parameter would be within a given set of data. Thus, it is an estimate of the uncertainty of a given statistical data.

When constructing a confidence interval, if the level of confidence decreases, the margin of error will decrease and the confidence interval will be narrower.

Consequently, when constructing a confidence interval, if the level of confidence increases, the margin of error will increase and the confidence interval will be wider.

Hence, for an estimator to be consistent it must have both a small bias and small variance.

y =3

After you set each equation to terms where you can cancel out the x

you are left with:

14y = 42

y = 3

** sorry

The solution to the system of equations is x = 1 and y = -3

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

y=-x-2

y=4x+3

Substitute y=-x-2 in y=4x+3

So, we have the following representation

-x-2 = 4x+3

Evaluate the like terms

5x = 5

Divide by 5

x = 1

Substitute x = 1 in y=-x-2

y=-1-2

Evaluate

y = -3

Hence, the solution is x = 1 and y = -3

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The firm's profit in this case is = $360.

What is the total cost?

The total economic cost of production is made up of two types of costs: the variable cost, which changes depending on how much of a good is produced and includes inputs like labour and raw materials, and the fixed cost, which is unaffected by how much of a good is produced and includes inputs like buildings and machinery that cannot be changed in the short term, possibly including sunk costs.

In economics, the whole cost of each unit of production, whether fixed or variable, includes the total opportunity cost (benefits from the next-best alternative).

Example:

Q        Fixed       Variable    Total    Marginal    Aver.     Aver.     Aver.

       Costs        Costs         Cost    Cost           FC         VC         TC      

0          100             0              100         -               -             -             -

1           100           50               150       150           100         50         150

2          100           70               170         20            50         35          85

3          100           90               190        20           33.33      30        63.33

4          100          140               240       50            25          35          60

5          100         200               300       60            20          40          60

6          100         360              460      160           16.67       60        76.67

The firm's profit in this case is = $360.

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Answer:

Brainleist! I need points see below

Step-by-step explanation:

-2y+1=7

-2y = 6

y = -3

now plug in

9 (-3) - 7

-27-7

-34

Need points! Because this useless mod deleted my answers for no reason

Answer:

Set the polynomial equal to

y

to find the properties of the parabola.

y

=

x

2

+

16

x

+

8

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

+

8

)

2

−

56

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

−

8

k

=

−

56

Since the value of

a

is positive, the parabola opens up.

Opens Up

Find the vertex

(

h

,

k

)

.

(

−

8

,

−

56

)

Find

p

, the distance from the vertex to the focus.

Tap for more steps...

1

4

Find the focus.

Tap for more steps...

(

−

8

,

−

223

4

)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x

=

−

8

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I'll help you with math at 3:30 "Eastern time" just wanted to specify since you could be in another time zone

Answer: x=3/2

Step-by-step explanation: Hope this help :D

Answer: x= -7

Step-by-step explanation: subtract 4x on both sides. That leaves you with -9=3x+12. Then subtract 12 on both sides. From there you have -21=3x. Divide by 3, and your answer is negative 7

The solution is: solve of the equation 4x - 9 = 7x + 12 is: x= -7.

Here, we have,

given that,

the equation is : 4x - 9 = 7x + 12

now, we have to solve this.

so, we have,

4x - 9 = 7x + 12

subtract 4x on both sides.

we get,

-9 = 3x+12.

Then subtract 12 on both sides.

From there we have

-21 = 3x.

Divide by 3,

-7 = x

and the answer is negative 7.

Hence, The solution is: solve of the equation 4x - 9 = 7x + 12 is: x= -7.

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here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

Answer:

what is this......................

Step-by-step explanation:

4 1/5 x 5/14

21/5 × 5/14

21/14

=3/2

Hope it helps ya

Answer:

3/2

Step-by-step explanation:

change 4(1/5) into a proper function 21/5.

then multiply with the other fraction (5/14) the fives will cancel out, plus 21 and 14 are divisible by 7, which takes you to the final answer.

Answer:

Option A

Step-by-step explanation:

If two chords of a circle are intersecting each other inside the circle,

Measure of the angle formed between these chords is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Therefore, m∠AEC = \(\frac{1}{2}(\text{arcAC}+\text{arcBD)}\)

m∠AEC = \(\frac{1}{2}(110^{\circ}+40^{\circ})\)

             = 75°

Therefore, Option A will be the correct option.

Answer:

x= -14

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Answer:

56 degrees

Step-by-step explanation:

They are supplementary, so they add to 180. 180 - 124 = 56.

Answer:

56 degrees

Step-by-step explanation:

They are supplementary, so they add to 180. 180 - 124 = 56.

Answer: Mass of Lamina is (K/3)

Centre of mass is (3/8, 3pi/16)

Step-by-step explanation:

Find explanation in the attachments

Factor -1 out of the expression:

the coefficient of x² is 3 and the constant term is -2. The product of 3 and -2 is -6. The factors of -6 which sum to -5 are 1 and -6. Therefore:

Answer: $3.50

Step-by-step explanation:

Divide $10.50 by 3 to get the hourly rate

Answer:

A trinomial is a perfect trinomial if the first and last terms are positive, perfect squares and the middle term is twice the product of their square roots.

Therefore, if you mean perfect as in positive, the answer is True.

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

Answer:

D

Step-by-step explanation:

Answer:

D. \(8a^{9} -4a^{3} +1\)

Step-by-step explanation:

Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :

Solve for \(r(2a^{3} )\) :

1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)

2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)

3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

Answer:

So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).

Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

The length of the longer base is 5mm.

Step-by-step explanation:

The area of a trapezoid:

\(A=\frac{1}{2}h(b_1+b_2)\)

With the given information, we can write some equations to represent the problem:

\(b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\)

There's only 2 equations and 2 variables, so it's a relatively simple system of equations to solve. Ill solve by substitution:

\(b_1=2b_2-7\\48=\frac{1}{2}(12)(b_1+b_2)\\\\48=\frac{1}{2}(12)((2b_2-7)+b_2)\\48=(6)(3b_2-7)\\48=18b_2-42\\18b_2=90\\b_2=5\)

Now, plug that back into the first equation to solve for the other variable:

\(b_2=5\\b_1=2b_2-7\\\\b_1=2(5)-7\\b_1=10-7\\b_1=3\)

Now we have the measures of both of the bases.

To check that, calculate the area using these bases:

\(A=\frac{1}{2}(12)(3+5)\\A=6(8)\\A=48\)

It works fine.

Answer:

100 beads for $2.95

Step-by-step explanation:

This is because the unit cost per item if you buy 100 beads for $2.95 would be $0.03

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.