2(2x+1)-9.2x+4=0
[tex] 2^2x + 1 - 9.2 ^x + 4 = 0 [/tex]

2(2x+1)-9.2x+4=0[tex] 2^2x + 1 - 9.2 ^x + 4 = 0 [/tex]

Answers

Answer 1

[tex]\displaystyle\2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]


Related Questions

Can someone help me with this math homework please!

Answers

Answer:

See step by Step

Step-by-step explanation:

Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.

Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.

Spencer's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]

[tex]10x - 2 = 2[/tex]

[tex]10x = 2 + 2[/tex]

[tex]10x = 4[/tex]

[tex]x = \frac{4}{10} [/tex]

[tex]x = 0.4[/tex]

Jeremiah's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]

[tex] - 2 = - 10x + 2[/tex]

[tex] - 2 - 2 = - 10x[/tex]

[tex] - 4 = - 10x[/tex]

[tex] \frac{ - 4}{ - 10} = x[/tex]

[tex]0.4 = x[/tex]

As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.

Vince weights 160, and his friend Nadir weights 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would weigh on the other planet?

Answers

Answer:

64 lb

Step-by-step explanation:

you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).

pls help me don't know what to do

Answers

Answer:

x=15

Step-by-step explanation:

The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.

So to solve, just subtract 45 from 60

60-45=15

That's your answer!

Hope this helps!

solve it please please​

Answers

Answer:

D. 5 and 14

Explanation:

5,8,11,14

1 + 2= 6
1 +8= 16
Imma really smart right?

What is the mode of the set of numbers {55, 57, 59, 61, 62, 63, 64, 64, 65, 68, 69)

Answers

Answer:

64

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set.  So, just look for the number that appears the most.

I hope this helps!

The difference between two numbers is 12 and their sum is 26. Find the smallest number. A)9 B)7 C)-7 D)-9

Answers

Answer:

Step-by-step explanation:

We need a system of equations to solve for this. The first equation comes from "The difference between 2 numbers is 12". Difference means subtraction, the 2 numbers will be x and y, and the word "is" means equals:

x - y = 12

The second equation comes from "...their sum is 26". The numbers are still x and y but this time we have their sum, which is what they equal when they are added together. The word "is" means equals:

x + y = 26. So we will go back up to the first equation. If y taken away from x leaves a positive number, that means that y is smaller than x. We are looking for the value of the smaller number so we will find y. Solve the first equation for x to get it in terms of y:

x = 12 + y and we sub that into the second equation:

(12 + y) + y = 26 and

12 + 2y = 26 and

2y = 14 so

y = 7. Choice B is the one you want.

Select the two values of x that are roots of this equation.
x² + 3x-6=0
A. X=
-3+ /33
2
B. x=-3-83
c. x. -3-15
D. x. -3*4/15
please help

Answers

Answer:

[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]

Someone to give me the answer on the number line please

Answers

Answer:

Step-by-step explanation:

Equation for the total volume of the bucket has been given as,

V = 4 + 2t

Here V = Total volume

t = elapsed time

Table for the input-output values,

t        0         1         2        3        4

V       4         6        8        10      12

Therefore, line passing through the given points in the table will be the graph for the equation.

What is the domain of the square root function graphed below

Answers

Answer:

Dominio de una Raíz cuadrada

Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.

Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.

Step-by-step explanation:

qsy

3(y+6)=30 solve equation

Answers

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

or

y = 4

Divide 3(y+6) by 3, and do the same to 30. You end up with y+6=10. Subtract both sides by six, and you end up with y=4.

You invest $4.000 in a savings account. The account pays 3% annual interest. How much money will be in the savings account after 9 years?

A) $4,938.29
B) $5,219.20
C) $5,124.33
D) $6,003.45​

Answers

Answer:

4000*0.03*9=1080

4000+1080=5080

umm but like thats not one of the answers sorry

Hope This Helps!!!

Step-by-step explanation:

4000*3% = 120

120*9= 1080

1080+4000=5080

FG has a midpoint at M(5, 7). Point G is at (9,5). Find the coordinates of point F. Write the coordinates as decimals or integers. ​

Answers

i don’t know i need points though

Pls help, I will give 50 points

Answers

I think this is the answer you are looking for

If f(x) = 5x + 40, what is f(x) when x = –5?

answer
1. -9
2. -8
3. 7
4. 15

Answers

Answer:

option 4

Step-by-step explanation:

f(x) = 5x + 40

f(x = - 5) = 5 ( - 5) + 40

            = -  25 + 40

             = 15

f(x) = 5x + 40

f(-5) = 5(-5) + 40

= 15

Ans: 15

If f(x)=5X-2 and g(x) = x+1, find (f -g)(x)

Answers

Answer:

Step by step  explanation

a

HELP ASAP WILL MARK BRAINLIEST!!!!!


A Ferris wheel car moves from point C to point D on the circle shown below:
D
38°
А ferris wheel car moves from point C to D on the circle shown below:

d = 20 ft
What is the arc length the car traveled, to the nearest hundredth?
2.18 feet
4.31 feet
5.84 feet
6.63 feet

Answers

Answer:

AL= 6.63

Step-by-step explanation:

C = 2[tex]\pi r[/tex]

C = 2[tex]\pi 10[/tex]

C = 20[tex]\pi[/tex]

[tex]AL = \frac{38}{360} 20\pi[/tex]

AL= 6.63

The length of the arc travelled by the car is 6.63 feet.

What is the  arc length of a circle?

The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.

Formula for calculating the arc length

Arc length = θ×[tex]\frac{\pi }{180}[/tex]× r

where,

θ is central angle of arc

r is the radius of circle

What is diameter of the circle?

The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.

Formula for the calculating arc length

diameter = 2× radius

According to the given question

we have

θ = 38 degrees

diameter = 20ft

⇒ radius = [tex]\frac{20}{2}[/tex]

radius = 10

Therefore,

the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10

= 38×[tex]\frac{3.14}{180}[/tex]×10

=[tex]\frac{1193.2}{180}[/tex]

=6.63 feet

Hence, the arc length the car travelled is 6.63feet.

Learn more about the arc length here:

https://brainly.com/question/16403495

#SPJ2

How many solutions does the nonlinear system of equations graphed below
have?
• A. One
• B. Two
• C. Four
O D. Zero
SUBMIT

Answers

I’m not to sure but I think it’s 4 solutions

Find the measure of each numbered angle for each figure

Answers

Answer:

Angle 1 is 58. Angle 2 is 32.

Step-by-step explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

What is the measure of side B’C’?

Answers

36 bc it has 3 different sides and it all equals

Find the measure of the missing angle using the exterior angle sum theorm

Answers

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and . We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.

Answers

Given,

d = 2t

here, t = 25

Therefore,

d = 2*25

= 50m

Someone please help me ASAP please

Answers

246 degrees i think, 44+80= 124 then 360-124 which us 246. (i might have misunderstood the question)

Answer:

hey mate

plz mark it as brainliest

Simplify the expression. (6)8 + (6)3

Answers

Answer:

66

Step-by-step explanation:

Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3

=48+18

=66

This is how u solve it. Hope this woul be useful

Which is the graph of the equation y-1=- f (x-3)?

Answers

this will be the graph of your equation. hope it helps

CAN SOMEONE PLEASE HELP ME!!

Answers

Answer:

29.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=11^2

a = h = 8.5

A= 1/2*b*h

A= 1/2*8.5*7

A=29.8


Which of the following are possible
side lengths for a triangle?
A. 4, 9,4
B. 3, 8, 12
C. 8,8,9

Answers

As we know,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

A. 4, 9, 4

[tex]4 + 9 > 4[/tex]

[tex]9 + 4 > 4[/tex]

[tex]4 + 4 < 9[/tex]

B. 3, 8, 12

[tex]3 + 8 < 12[/tex]

[tex]8 + 12 > 3[/tex]

[tex]12 + 3 > 8[/tex]

C. 8, 8, 9

[tex]8 + 8 > 9[/tex]

[tex]8 + 9 > 8[/tex]

[tex]9 + 8 > 8[/tex]

By observing the above,

the possible side lengths of a triangle are C. 8, 8, 9.

What is the interval of increase f(x)=3x^2-6x

Answers

Answer:

F(g(×)1=3(6+2)-5=18×+6-5=18×+1

Step-by-step explanation:

so correct answer is the last one pa brainliest plss

Find the domain of the following piecewise function.


Answers

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]

y = 2x + 3
y=2x-1
The system has how many solutions?

one solution
two solutions
no solution
an infinite number of solutions

Answers

The answer is no solutions

What number should be subtracted from -3/4 to get 5/6?

Answers

Answer:

Let that rational number to be subtracted be x.Given,-5/​6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.

Step-by-step explanation:

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