Find the mean of the given frequency distribution table

Answer:

[tex]x = -5 \text{ or } x =3[/tex]

Step-by-step explanation:

We want to find the real solutions to the equation:

[tex]\displaystyle 8^{x^2 + 2x - 15} = 1[/tex]

Recall that any value raised to zero (except for zero itself) is one.

In other words, the exponent must equal zero:

[tex]x^2 + 2x - 15 = 0[/tex]

Solve for x. Factor:

[tex](x+5)(x-3) = 0[/tex]

Zero Product Property:

[tex]x + 5 = 0\text{ or } x - 3 = 0[/tex]

Solve for each case. Hence:

[tex]x = -5 \text{ or } x =3[/tex]

In conclusion, our two real solutions are:

[tex]x = -5 \text{ or } x =3[/tex]

Answer:

A 6.09

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.

Answer:

32.

Step-by-step explanation:

Let's say the number we are trying to find is x.

24 = 0.75x

0.75x = 24

x = 24 / 0.75

x = 32

Hope this helps!

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

Answer:

(4x2 +5)⋅(4x2 −5)

Answer:

The function is y = -6 / x.

Step-by-step explanation:

Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:

3 = a / (-2)

3 * (-2) = a / (-2) * (-2)

-6 = a so the function is y = -6 / x.

Step-by-step explanation:

According to Geometric Progression :

[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]

a(nth) = nth term of the G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P.

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio

a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.

Now,

[tex]24 = 3 \times {r}^{4 - 1} [/tex]

[tex]r = 2[/tex]

The G.P. Is 3, 6, 12, 24.

Thus, p = 6 and q = 12

Answer:

Value of x is -3

Step-by-step explanation:

Given:

5x + 15 = 0

Find:

Value of x

Computation:

5x + 15 = 0

From subtracting 15 from both side (LHS and RHS)

5x + 15 – 15 = 0 – 15

5x = -15

From dividing 5 from both side (LHS and RHS)

5x / 5 = -15 / 5

x = -3

So,

Value of x is -3

Answer:

  PQRS is a parallelogram with right-angle corners

Step-by-step explanation:

We know that the midsegment of a triangle is parallel to the base.

  QR is the midsegment of triangle BCD, so is parallel to BD.

  SP is the midsegment of triangle DAB, so is parallel to BD.

QR and SP are both parallel to BD, so are parallel to each other.

  RS is the midsegment of triangle CAD, so is parallel to AC.

  PQ is the midsegment of triangle ABC, so is parallel to AC.

RS and PQ are both parallel to AC, so are parallel to each other.

__

We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.

__

By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.

_____

* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.

Answer:

y = 0.5X + 48

Answer:

48 + 0.50m

Step-by-step explanation:

m, the variable, equals to the number of miles driven. Since there is a base fare of $48, that will be the constant. It is $0.50 per mile, so it's 0.50m. Substituting for m, the miles driven, will give you the final cost.

Answer:

1. no solution 2. has one solution

Step-by-step explanation:

first you must find the discriminant of each quadratic also remember

if the discriminant is positive  b^{2}-4ac> 0, then the quadratic equation has two solutions.

if the discriminant is equal  b^{2}-4ac= 0, then the quadratic equation has one solution.

if the discriminant is negative  b^{2}-4ac< 0, then the quadratic equation has no solution.

1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0

2. the discriminant is 0 so there is one solution

Answer:

1. has no real roots, no solutions (unless you can have imaginary solutions)

2. touches the x axis in one point, so one solution

Step-by-step explanation:

Answer:

the horizontal distance is the x-intercept, and the vertical distance is the y-intercept

1) x-int=1, y-int=1

2) x-int=6, y-int=5

Answer:

(9,4)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(10+8)/2=18/2=9

y=(4+4)/2=8/2=4

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

Answer:

Below!

Step-by-step explanation:

X intercept

y = 5x - 6

0 = 5x - 6

-5x = -6

divide both sides by -5

x = 6/5 or 1.2  

(1.2, 0)

Y intercept

y = 5x - 6

y = 5(0) - 6

y = -6

(0, -6)

Hope this helps! Best of luck <3

Answer:

please mark my answer brainliest

Step-by-step explanation:

it's 115

Answer:

115 degrees.

Step-by-step explanation:

< DBC = (180 - 40) / 2 = 70    ( as it is a base angle of an isosceles Δ)

< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).

So < EBC = 70 + 45 = 115 degrees.

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

Answer:

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

Step-by-step explanation:

Given that:

the linear correlation coefficient r = 0.767

the sample size n = 25

the level of significance ∝ = 0.05

The degree of freedom is expressed with the formula df = n - 2

 df = 25 - 2

 df = 23

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.

Answer:

(13)^2 (13)^-14 (13)^5

=2197

Answer:

13^3

Step-by-step explanation:

-4+2+5=3

is it . that or something else ??

EXAMPLE QUESTION+ANSWER;-

16 - [5 - 2 { 14  of  2 - (8/4 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (2 * 2 - 1 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - (4 - 1 + 3 } ]  

= 16 - [5 - 2 { 14  of  2 - (3 + 3 } ]

= 16 - [5 - 2 { 14  of  2 - 6} ]

= 16 - [5 - 2 { 28  - 6} ]

= 16 - [5 - 2 {22} ]

= 16 - [5 - 44]

= 16 + 30

= 55

Answer: 55

[tex]\\ \sf\longmapsto 14.3-4.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]

[tex]\\ \sf\longmapsto 10.2[/tex]

Answer:

f(x)= x-6

g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x

g(x) × f(x)

=(x√x + 3√x) (x-6)

= x²√x -6x√x + 3x√x - 18√x

= x²√x -3x√x - 18 √x

= x^5/2 - 3x^3/2 - 18^1/2

= √x^5 - 3√x^3 - √18 (B)

Note:

√x = x^1/2

x √x = x^1 × √x= x^1+1/2= x^3/2

x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2

I hope this helps

if u have question let me know in comments ^_^

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

[tex]\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)[/tex]

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

[tex]\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}][/tex]

[tex]=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}[/tex]bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

[tex]=\dfrac{x}{\dfrac{x}{4}}=4[/tex]

Hence, she made 4 bracelets.

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

Answer:

Hello,

Answer D

Step-by-step explanation:

In a function a value may not have 2 images.

y1=f(x1) and y2=f(x1) ==> y1=y2