Solve the equation for all values of x.
(22 – 16)(2x2 + 49) = 0
Help please

Answers

Answer 1

Answer:

7i/sqrt(2)

Step-by-step explanation:

so, if I understand correctly, the equation is

(22-16)(2x² + 49) = 0

6(2x² + 49) = 0

that automatically means

2x² + 49 = 0

2x² = -49

x² = -49/2

x = sqrt(-49/2)

a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.

so, we get

x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)


Related Questions

Which r-value represents the weakest correlation?

–0.75
–0.27
0.11
0.54

Answers

Answer:

0.11

Step-by-step explanation:

Strongest correlation:

The strongest correlations happen for [tex]r = -1[/tex] and [tex]r = 1[/tex], that is, when r has the higher absolute value.

In this question:

The value of r with the lowest correlation is the one with the lowest absolute value(absolute value of -0.75 is 0.75 for example), so it is 0.11, which is the answer.

Answer:

it's C on edg

Step-by-step explanation:

.11

help me with this math question

Answers

Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

One circle has a circumference of 12 pie Another circle has a circumference of 32 pie What is the ratio of the radius of the smaller circle to the radius of the larger circle?

Answers

Answer:

3 : 8

Step-by-step explanation:

The ratio of the radii is equal to the ratio of the circumference, then ratio is

12π : 32π ( divide both parts by 4π )

= 3 : 8

Dave has been running every day to get
in shape for the track season. He wants
to determine his average rate.
Dave learned the following formula in his
science class:
d = r.t
where
d = distance
r = rate
t = time

Answers

Answer:

r = d/t

Step-by-step explanation:

Given:

d = r * t

where,

d = distance

r = rate

t = time

Rewrite the equation to determine Dave's rate

d = r * t

d = rt

Divide both sides by the

d / t = rt / t

d / t = r

r = d/t

Average rate, r = d/t

Evaluate 4x-2 when x = 5.
A. 18
B. 12
C. 43
O D. 22

Answers

Answer:

A: 18

Step-by-step explanation:

1. 4(5) - 2

2. 20 - 2

3. 18

In algebra when we always see a number with an “x” it’s a multiply.so 4x would be 4 multiply by x in this case x is 5.
4 multiply by 5 will give you 20 then you just subtract the 2 which is 18 so the answer will be A :)

Helpppppp plssssss ! Click the image

Answers

letter a since b, c, & d are all negative numbers

Find the slope of (3,-24)(19,-48)

Answers

Answer:

-3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

   = (-48- -24)/(19 -3)

   = (-48+24)/(19-3)

   = -24/16

   = -3/2

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]

Substitute into slope formula:

[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]

A ball is dropped from a height of 9 feet and allowed to bounce. Each time the ball bounces, it reaches a height that is23the height of the previous bounce. How many times will the ball be exactly 3 feet above the ground? ​

Answers

I'm assuming you meant to say "it reaches a height that is 2/3 the height of the previous bounce".

We have a geometric sequence with a = 9 as the first term and r = 2/3 as the common ratio.

The nth term is a*(r)^(n-1) = 9*(2/3)^(n-1)

Set this equal to 3 and solve for n. You'll need logs to isolate the exponent.

9*(2/3)^(n-1) = 3

(2/3)^(n-1) = 3/9

(2/3)^(n-1) = 1/3

log[ (2/3)^(n-1) ] = log(1/3)

(n-1)*log(2/3) = log(1/3)

(n-1)*(-0.17609) = -0.47712

n-1 = (-0.47712)/(-0.17609)

n-1 = 2.7095235

n = 2.7095235+1

n = 3.7095235

Unfortunately we don't get a whole number. We can see that the terms of the sequence are:

9, 6, 4, 2.667

Each term is found by multiplying 2/3 by the previous term.

We don't land exactly on "3". The closest we get is 2.667 approximately.

So to answer the question, there is no way to get to exactly 3 feet above the ground based on a whole number of bounces.

For each function, state whether it is linear, quadratic, or exponential.

Answers

Answer:

Step-by-step explanation:

Table for function 1,

         x                      y              Difference 1          Difference 2        

         2                    10                      -                             -

         3                     1                 1 - 10 = -9                     -

         4                    10                10 - 1 = 9                9 - (-9) = 18

         5                    37               37 - 10 = 27            27 - 9 = 18

         6                    82               82 - 37 = 45          45 - 27 = 18

Since, difference 2 is common as 18,

Table will represent a quadratic function.

Table for function 2,

        x                    y               Difference 1            Difference 2

        5                    16                       -                               -

        6                    19              19 - 16 = 3                        -

        7                    28             28 - 19 = 9                  9 - 3 = 6

        8                    43             43 - 28 = 15              15 - 9 = 6

        9                    64             64 - 43 = 21              21 - 15 = 6

Since, difference 2 is common as 6,

Table will represent a quadratic function.

Table for function 3,

        x                    y                   Ratio

        1                   112                     -

        2                  56               56 ÷ 112 = [tex]\frac{1}{2}[/tex]  

        3                  28               28 ÷ 56 = [tex]\frac{1}{2}[/tex]

        4                   14               14 ÷ 28 = [tex]\frac{1}{2}[/tex]

        5                    7                7 ÷ 14 = [tex]\frac{1}{2}[/tex]

Since, ratio is common as [tex]\frac{1}{2}[/tex].

Table will represent an exponential function.

Find the value of x that makes m
n.
m
n
(180 - x)^

Answers

Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

solve for x. round to the nearest tenth of a degree, if necessary.​

Answers

x=30°

Answer:

Cos x°=adjacent/hypotenuse

Cos x°=45/52

x°=Cos-¹(45/52)

x°=30°

The wind is blowing opposite to leg AB. Given the fact that you’re traveling in a wind-powered boat, which leg of the course will take you the longest? Why? (4 points)

Answers

Answer:

The leg of the course that will take longest is from A to B

The reason is that the leg of the course, A to B is slowed by the wind

Step-by-step explanation:

The direction of the wind is opposite to leg AB

The starting and finishing point is point A, and the course is from A to B to C and back to point A

The leg of the course that will take the longest is course in which th motion is against the wind which is from B to A

The motion from B to C and from C to A are partly in the wind ward direction, because the wind would be behind the sales and will therefore be aided by the wind, leading to rapid motion

However, the starting motion on the leg from A to B is opposite the wind and will be slowed down by the wind, and would therefore, take the longest.

Can someone help me with this math homework please!

Answers

The answer is A and C
A and c hope this helps!!

Literally what is this lol

Answers

Answer:

i think the first one- bc it should be 11x5pi but it would still end up as 55pi

Step-by-step explanation:

sorry if that doesnt help

2-5-9:0= 6797 so that’s yo answer

Will give brainliest to the first person who answers

Answers

Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

The given information is,

To find the required value of z.

Property we use,

The exterior angle of a triangle is the sum of the opposite interior angles.

Now we can get the value of z,

→ z + z-39 = z + 47

→ 2z-39 = z + 47

→ 2z -z = 47 + 39

→ z = 47 + 39

→ [z = 86]

Thus, the required value of z is 86.

16:32:12
Which linear inequality is represented by the graph?
O x < 2 x + 3
Oy> x+3
O y>x+3
O y<{x+3
-3 -2 -1

Answers

It’s y>x+3 the third one

The linear inequality that represents the graph is y > (2/3)x + 3.

Option C is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

y < (2/3)x + 3

y > (3/2)x + 3

y > (2/3)x + 3

y < (3/2)x + 3

The graph is on the positive side of the y-coordinate so,

We can consider:

y > (3/2)x + 3

y > (2/3)x + 3

Now,

Plotting in a graph we see that,

We need to have the y-intercept at y = 3 and the x-intercept at x = 4.5.

So,

y > (2/3)x + 3 satisfied.

Thus,

y > (2/3)x + 3 represents the graph.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

What should be done first to evaluate the expression?

4 + 8 ÷ 4 - 2 × 5

Add 4 and 8.
Divide 8 by 4.
Subtract 2 from 4.
Multiply 2 by 5.

Answers

Divide 8 by 4

Because is PEDMAS, division comes first.

Answer:

divide 8 by 4

Step-by-step explanation:

PEMDAS or BODMAS

Problem 5

The sum of the first ten terms of an arithmetic progression consisting of positive integer terms is equal to the sum of the 20th, 21st and 22nd term. If the first term is less than 20, find how many terms are required to give a sum of 960.

Answers

Answer:

The answer is 15.

Step-by-step explanation:

Find DC, given that line AD is the angle bisector of < CAB.

Answers

Answer:

8

Step-by-step explanation:

LINE DC =BD

because line AD is a bisector of CAB

Dividing line CAD into two equal half's

Which statement are true regarding the diagram?

Answers

Answer: 2,4 are definite answers i don't know abt the others- unfortunately..

Step-by-step explanation: Im in mid school..

Viết khai triển theo công thức nhị thức Niu-tơn (x + 1) ^ 5

Answers

Answer:

x^5+5x^4+10x³+10x²+5x+1

Step-by-step explanation:

Solve for the triangle: ABC
A: 90 degrees
B: 6 feet
C: 10 feet

Answers

I would say A degrees, bc it’s an angle, but I would need more information

What is the slope of a line that is perpendicular to the line: -4x + 6y = -1 ?

A. -3/2
B. -2/3
C. 1/4
D. 3/2

Answers

Your answer should be 2/3

Please help me!!! I need to finish soon

Answers

Answer:

S=47.1cm (to 3s.f.)

Step-by-step explanation:

To find the arc length, S, use the formula S=radius x angle(in radians)

S=10x 3pi/2

=47.1cm (to 3s.f.)

There are 25 rows of seats in the high school auditorium with 20 seats in the first row, 21 seats in the second
row, 22 seats in the third row, and so on. How many total seats are in the auditorium?
OA) 800 seats
OB) 860 seats

Answers

Answer:

A) 800 seats

Step-by-step explanation:

Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.

The sum of an arithmetic sequence is given by:

[tex]S_n=n\left(\frac{a_1+a_n}{2}\right)[/tex], where [tex]n[/tex] is the number of terms, [tex]a_1[/tex] is the first term, and [tex]a_n[/tex] is the last term

Therefore, substituting [tex]a_1=20[/tex], [tex]a_n=44[/tex], and [tex]n=25[/tex], we get:

[tex]S_n=25(\frac{20+44}{2}),\\s_n=25\cdot 32=\boxed{800}[/tex]

Combine and simplify the following radical expression.

Answers

Answer:

[tex]24 \sqrt{5} [/tex]

Step-by-step explanation:

[tex]2 \sqrt{20} + 8 \sqrt{45} - \sqrt{80} [/tex]

[tex] = 2 \sqrt{2 \times 2 \times 5} + 8 \sqrt{3 \times 3 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} [/tex]

[tex] = 2(2 \sqrt{5} ) + 8(3 \sqrt{5} ) - (4 \sqrt{5} )[/tex]

[tex] = 4 \sqrt{5} + 24 \sqrt{5} - 4 \sqrt{5} [/tex]

[tex] = 24 \sqrt{5} (ans)[/tex]

Answer:

[tex]\huge\boxed{24\sqrt5}[/tex]

Step-by-step explanation:

[tex]2\sqrt{20}+8\sqrt{45}-\sqrt{80}\\\\=2\sqrt{4\cdot5}+8\sqrt{9\cdot5}-\sqrt{16\cdot5}\\\\\text{use}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}\\\\=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5\\\\\text{we know}\ a\sqrt{b}=a\cdot\sqrt{b},\ \text{and}\ \sqrt{a}=b\iff b^2=a\\\\\text{Therefore}\\ 2\sqrt{4}=2\cdot\sqrt4=2\cdot2=4\\8\sqrt9=8\cdot\sqrt9=8\cdot3=24\\\sqrt{16}\cdot\sqrt5=4\cdot\sqrt5=4\sqrt5\\\\\text{Therefore}[/tex]

[tex]=2\sqrt4\cdot\sqrt5+8\sqrt9\cdot\sqrt5-\sqrt{16}\cdot\sqrt5=4\sqrt5+24\sqrt5-4\sqrt5\\\\=(4+24-4)\sqrt5=24\sqrt5[/tex]

please help. i need this done today

Answers

Answer:

herlojffhgdxvjdxhyeb olis the tim view on the euros 2020 final

what is (2x9)- (15 divided by 3)

Answers

Answer:

13

Step-by-step explanation:

We can simplify it:

(2x9)-(15/3)

(18)-(5)

18-5

13

Complete the equations below. 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths}\div 2 hundredths÷2start text, space, h, u, n, d, r, e, d, t, h, s, end text, divided by, 2 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals \text{ hundredths} hundredths start text, space, h, u, n, d, r, e, d, t, h, s, end text 1.86 \div 2 =1.86÷2=1, point, 86, divided by, 2, equals

Answers

Answer:

[tex]1.86 \div 2 = 0.93[/tex]

Step-by-step explanation:

The correct form of the question is:

Complete the equations below.

[tex]1.86 \div 2 =[/tex]

Required

Solve

Start from left to right

[tex]1 \div 2 = ??[/tex] --- this will give a fraction.

So, we append the next digit

[tex]1.8 \div 2 = 0.9[/tex]

Next:

[tex]0.06 \div 2 = 0.03[/tex]

Bring the results together:

[tex]1.86 \div 2 = 0.9+ 0.03[/tex]

[tex]1.86 \div 2 = 0.93[/tex]

Simplify. 1224√
THIS IS A KEYSTONE ALGEBRA THING LOL

Answers

Answer:

6[tex]\sqrt{34}[/tex]

Step-by-step explanation:

[tex]\sqrt{1224}\\[/tex] = [tex]\sqrt{36*34}[/tex] = 6[tex]\sqrt{34}[/tex]

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