How to find the range of a data set?

3.0 r is the answer

Step-by-step explanation: I help ;)

Given:

The equation are

[tex]y=3x+2[/tex]

[tex]y=2x^2+7x-11[/tex]

To find:

The coordinates of intersection points.

Solution:

We have,

[tex]y=3x+2[/tex]          ...(i)

[tex]y=2x^2+7x-11[/tex]           ...(ii)

From (i) and (ii), we get

[tex]3x+2=2x^2+7x-11[/tex]

[tex]0=2x^2+7x-11-3x-2[/tex]

[tex]0=2x^2+4x-13[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then by quadratic formula:

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the equation [tex]0=2x^2+4x-13[/tex], we have [tex]a=2,b=4,c=-13[/tex].

Using quadratic formula, we get

[tex]x=\dfrac{-4\pm \sqrt{4^2-4(2)(-13)}}{2(2)}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{16+104}}{4}[/tex]

[tex]x=\dfrac{-4\pm \sqrt{120}}{4}[/tex]

Now,

[tex]x=\dfrac{-4+\sqrt{120}}{4}[/tex] and [tex]x=\dfrac{-4-\sqrt{120}}{4}[/tex]

[tex]x=1.7386[/tex] and [tex]x=-3.7386[/tex]

[tex]x\approx 1.74[/tex] and [tex]x\approx -3.74[/tex]

Putting x=1.74 in (i), we get

[tex]y=3(1.74)+2[/tex]

[tex]y=5.22+2[/tex]

[tex]y=7.22[/tex]

Putting x=-3.74 in (i), we get

[tex]y=3(-3.74)+2[/tex]

[tex]y=-11.22+2[/tex]

[tex]y=-9.22[/tex]

Therefore, the coordinates of the intersection points are (1.74, 7.22) and (-3.74,-9.22).

Answer:

x+4 = y

Step-by-step explanation:

Pretty simple

Answer:

A. 88 square inches

Step-by-step explanation:

I hope this is right

Answer:

88in^2

Step-by-step explanation:

find the surface area of each surface

4 x 2 = 8

2 x 6 = 12

6 x 4 = 24

there is 2 of each type of surface so multiply by 2 then add all surface areas together

16 + 24 +48 = 88

Given:

Mary spent 30% of her budget in groceries.

She spent 42$ on groceries.

To find:

The total amount of her budget.

Solution:

Let x be the total amount of the budget.

Then, the amount spent on groceries is 30% of x.

[tex]\dfrac{30}{100}x=0.3x[/tex]

She spent 42$ on groceries.

[tex]0.3x=42[/tex]

Divide both sides by 0.3.

[tex]x=\dfrac{42}{0.3}[/tex]

[tex]x=140[/tex]

Therefore, the total amount of the budget is 140$.

Answer:

-26

Step-by-step explanation:

-4(-2)^2 + 2(-2) - 6

-4(4) + -4 - 6

-16 -10

-26

The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Substitute the value x = -2 in the given equation

[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]

Hence, the value of the given equation is -26

To learn more about equation here

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Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2

Answer:

The equation has three solutions:

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

x=1    

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1

|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1                                                |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1

|[tex]4^{x} - 3[/tex]| = 1+2                                                 |[tex]4^{x} - 3[/tex]| = -1+2

|[tex]4^{x} - 3[/tex]|=3                                                       |[tex]4^{x} - 3[/tex]| = 1

[tex]4^{x} - 3[/tex] =3                 [tex]4^{x} - 3[/tex] = - 3                     [tex]4^{x} - 3[/tex] = 1                 [tex]4^{x} - 3[/tex] = - 1

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]        x∉∅                                x=1                           [tex]x = \frac{1}{2}[/tex]

The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

I hope this is clearly and understandably written to you :)

Answer:

15 slices

5 slice more

Step-by-step explanation:

1 and 1/4 ÷ 1/12 = 15

5/6 ÷ 1/12 = 10

15 - 10 = 5

Answer:fraction of the quilt is white = 1/6

Step-by-step explanation:

Let the total quilt be  = 1 ( since we are dealing with fraction)

The portion of quilt that is green  2/6

The portion of quilt that is yellow  3/6

The portion that is white   = Total quilt  −( portion of quilt that is green and yellow)

=1−( 2/6 +  3/6 )

=1  −5/6

=1/6

Step-by-step explanation:

1.623/100

=1.623×10^-2

or

=0.01623

Hope it helps

Answer:

Lilo has a maximum of 385 minutes to use on her cell phone.

A ≤ 385

Step-by-step explanation:

Let letter A represent the additional number of minutes that Lilo can talk

A + 615 ≤ 1,000

subtract 615 from both sides

A + 615 - 615 ≤ 1,000 - 615

A + 0 ≤ 385

A ≤ 385

Lilo has a maximum of 385 minutes to use on her cell phone.

A + 615 ≤ 1,000; A ≤ 385

Answer:

47 degrees

Step-by-step explanation:

180-133=47

Answer:

∠Q = 44°

Step-by-step explanation:

∠R = 180° - 133°  = 47°

∠Q = 180° - 89° - 47° = 44°

Answer:

80

Step-by-step explanation:

8 times 10 equals 80

8*10 = 80

Answer:

800000000

Step-by-step explanation:

multiple 8 by 10^8 or 100000000

Answer:

Monthly Payment $201.31

Total Interest Paid $1,289.26

Total Paid $6,039.26

Step-by-step explanation:

Answer:

f(x)= -1

f(x)= 3

f(x)= 7

f(x)= 11

Step-by-step explanation:

You need to add the values of x into the function

f(x)= 4(-1) + 3

f(x)= 4(0) + 3

f(x)= 4(1) + 3

f(x)= 4(2) + 3

Answer:

59.16  units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

[tex]P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16[/tex]

So, the perimeter of the shaded region is 59.16  units.

Answer:

1 2/5

Step-by-step explanation:

Answer:

Irrational numbers is correct.

The required square root of 5 is an irrational number.

Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
√5 = 2.2360679775..
Which is an irrational number.

Thus, the required square root of 5 is an irrational number.

Learn more about rational numbers here:

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Answer:

1

Step-by-step explanation:

=>. the value of 3° = 1

=> it is known to us that any number to the

power zero is equals to 1

hope it helps

Answer:

24-5:x2

Step-by-step explanation:

im not sure

mark brainliest if it helps

Answer:

4.4

Step-by-step explanation:

4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...

Answer: 4.4

Answer:

4.4

Step-by-step explanation:

Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

Answer:

102

Step-by-step explanation:

sinA/a = sinB/b

sin x /57=sin 112/54

0.9786941

sin ^ -1 (0.786941)=78

180- 78=102