Solve the following quadratic equation:
(3x – 5)2 = 4

Answers

Answer 1

Answer:

Step-by-step explanation:

It is mandatory (required) to use " ^ " for exponentiation:

(3x – 5)^2 = 4

Taking the square root of both sides, we get

3x - 5 = ±2, or

3x = 5 ±2, or

(a) 3x = 7 => x = 7/3, and

(b) 3x = 3, or x = 1


Related Questions

helpppppp meeeeeee plz ​

Answers

60 total fourth graders and 43 are girls. To find the number of boys, subtract.

60 - 43 = 17 boys

If 5 girls were absent, subtract.

43 - 5 = 38 girls present

If 4 boys were absent, subtract.

17 - 4 = 13 boys present

Therefore, there were 13 boys present.

Best of Luck!

Answer:

13 boys were present

Step-by-step explanation:

→ In total there is 60 fourth graders at the Small Tree School.

→ 43 of them are girls and this information is given to us which means that there is 17 boys because 60 - 43 = 17

→ We want to know know how many boys were at the school on Friday considering that 5 fourth grade girls and 4 fourth grade boys were absent

→ We know that there is a total of 17 boys and 4 fourth grade boys were absent so 17 - 4 will give us the number of boys that were present  on Friday so 17 - 4 = 13. 13 boys were present considering 5 fourth grade girls and 4 fourth grade boys were absent

How can the diagram be used to evaluate Three-halves divided by three-fourths?

A number line going from 0 to 1 in increments of one-half.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is One-half.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is 2.
Start at 0 and move lengths of Three-halves until arriving at Three-fourths. The answer is 2.
Start at 0 and move lengths of Three-fourths until arriving at Three-halves. The answer is One-half.

Answers

Answer: c

Step-by-step explanation: I took the test


Morgan scored 41 points in 3 games. How many points would you expect him to make in an 11 game seasons.

Unit rate ______ points/games

Points in 11 games ______

Answers

Unit rate = 41 points / 3 games = 13 2/3 points per game

Point in 11 games = 13 2/3 points per game x 11 games = 150 1/3 total points, round to 150.

What is the solution to this system of equations? (Possible answers included)​

Answers

Answer:

A. 2,6

Step-by-step explanation:

Looking at the lines, the lines intercept through 2,6.

Have a great day (:

The changing speed of a car is modeled by the function S(t) = –4t + 35, where t is time in seconds. Interpret the model.

A. The car has an initial speed of 0 units and is speeding up to a speed of 35 units by 4 units per second.
B. The car has an initial speed of 4 units and is speeding up by 35 units per second.
C. The car has an initial speed of 35 units and is slowing down by 4 units per second.
D. The car has an initial speed of 35 units and is speeding up by 4 units per second.

Answers

Answer:

The car has an initial speed of 35 units and is slowing down by 4 units per second.

Step-by-step explanation:

The changing speed of a car is modeled by the function :

[tex]s(t)=-4t+35[/tex]

t is time in seconds

Initial speed means at t = 0

s(0) = 35 units

Here the change in speed is negative, it means that the car is slowing down by this rate.

So, the correct answer is : The car has an initial speed of 35 units and is slowing down by 4 units per second.

how do you find a probability

Answers

Answer:

Step-by-step explanation:

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.

A parallelogram has an area of 34.75 square centimeters. If its height is 5 cm, find the
base.
2.5 cm
13.9 cm
6.95 cm
16.25 cm

Answers

Answer:

6.95 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

Here A = 34.75 and h = 5, thus

34.75 = 5b ( divide both sides by 5 )

b = 6.95 cm

The graph of f(x) is shown below.


If g(x) = -10x + 2, which statement is true?
A.
The x-intercept of g(x) is greater than the x-intercept of f(x).

B.
The x-intercept of g(x) is less than the x-intercept of f(x).

C.
The y-intercept of g(x) is greater than the y-intercept of f(x).

D.
The y-intercept of g(x) is less than the y-intercept of f(x).

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Chelsea played her tuba from 4:25 to 5:07 how long did Chelsea play her tuba?

Answers

Answer:

The correct answer is 42 minutes

Step-by-step explanation:

4:25 to 5:00 is 35 mins

add 7 = 42mins

how are absolute value and opposites realated​

Answers

Answer:

oppisite is the absolute value

Step-by-step explanation:

PLEASE HURRY!!!!
WILL GIVE BRAINLIEST!!!



(Answer choices and question is in the picture)

Answers

Answer:

The answer is 40

Step-by-step explanation:

The reason for this is because. . .

(-1,-4) , (3,6)

so you have count from -1 to 3 and u will get 4, because if you can put (-1,-4) and (3,6) on a graph. If you did that then u must count horizantolly from -1 to 3 since they are on the x-axis. In the end you will get 4 since 3 minus -1 is 4. Also if your counting horizantally then that's ur width.

width = 4

To find the length, it is very simple. Subrtract 6 from -4 and you will get 10. And since the y-axis is being counted vertically, that is your length.

length = 10

To find the area, u have to do width times length so in this case you have to do 4 time 10 and you will get 40.

area = 40

3. Determine the Determinant of the Quadratic
2x2 + 7x - 3=0

Answers

Answer:

73

Step-by-step explanation:

I think you mean the discriminant.

You calculate it by using b^2 - 4ac

a = 2

b = 7

c = -3

So it would be 49 - 4 * 2 * -3

49 + 24

73

73 is the correct answer

will mark as brainliest pls answer quick
Select each quadrilateral that has four congruent sides.


A) trapezoid
B) isosceles trapezoid
C) parallelogram
D) rhombus
E) rectangle
F) square

Answers

I think it’s E) and F)

Answer:

D and F bc rhombi and squares have congruent sides

I need help I can’t figure this out

Answers

Answer:

12.04 = BC

Step-by-step explanation:

A tangent intersects at 90 degrees

We know AB and AC

We can use the Pythagorean theorem

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

8^2 + 9^2 = BC^2

64+ 81 = BC^2

145 = BC^2

Take the square root of each side

sqrt(145) = BC^2

12.0415945 BC

To the nearest hundredth

12.04 = BC

Solve for X

2^5-[4(5-3)^2]=-8x​

Answers

Answer:

-2

Step-by-step explanation:

[tex]2^5-[4(5-3)^2]=-8x\\32-[4(4)]=-8x\\32-16=-8x\\16=-8x\\x=-2[/tex]

Hope this helps!

The steps to derive the quadratic formula are shown below:
Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4 Blank space, fill in the answer
Provide the next step to derive the quadratic formula.
Answer Choices: (see image)

Answers

Answer:

b)

[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]

Step-by-step explanation:

Step(i):-

Given quadratic equation ax² + bx + c = 0

step(ii):-

ax² + bx = -c

Step(iii):-

Dividing 'a' on both sides , we get

[tex]\frac{ax^{2} +bx }{a} = \frac{-c}{a}[/tex]

[tex]x^{2} + \frac{bx}{a} = \frac{-c}{a}[/tex]

Step(iv):-

Adding  [tex](\frac{b}{2 a} )^{2}[/tex] on both sides , we get

[tex]x^{2} +\frac{b}{a} x+(\frac{b}{2 a} )^{2} = \frac{-c}{a} + (\frac{b}{2 a}) ^{2}[/tex]

Answer:

B

Step-by-step explanation:

what is 4/10 times 8/10???​

Answers

Answer:

8/25

Step-by-step explanation:

We do this by multiplying the top first, and we get 32.

We then multiply the bottom, and get 100.

You might think the answer is 32/100.

Well, kind of! We need to simplify!

we divide the top and bottom by four to get our answer, 8/25.

Segment AC is a diagonal of a regular polygon ABCDEF. What does Angle ACD equal.
A.36
B.5
C.72
D.108​

Answers

Answer: the answer is D.108​

BRAINLIEST AWARD ASAP
(Please explain the way you got your answer)

3(2-4i)^2

Answers

your answer is: 48i^2-48i+12

1. Using (a-b)^2= a^2-2ab+b^2, expand the expression
2. 3(4-16i+16i^2)
3. Distribute the 3 throughout
4. 12-48i+48i^2
5. reorder the terms
6. Answer is 48i^2-48i+12

If 20x = 54 and 2.xy=
100, what is y?

Answers

Answer:

y=18.51

Step-by-step explanation:

First we must figure out the value of "x". We can do that in the first equation. To find the value of "x" you divide both sides by 20. That will give you the value of "x" which is 2.7. With this information, you can plug in that value into the second equation to get the value of "y". 2(2.7)(y)=100. Multiply 2 and 2.7 to get 5.4. Then divide 5.4 from both sides to get the value of "y" which is around 18.51. I hope this helped.

Could someone help me with this plz. That would be great. You get points

Answers

Answer:

C

Step-by-step explanation:

i may be wrong sorry

The population of a school is 2100 and is increasing at the rate of 3%;6 years.
Write a function to model the situation.

Answers

Answer:

p = 2100e^0.3t , t=6 years

Step-by-step explanation:

tony goes to the funfair and has one go at hoopla and one go on the darts the probability he wins hoopla is 0.3.

The probability he wis darts is 0.4

A)complate the tree diagram

B)work out the proberbility he wins both games

C)work out the probability he wins 1 of the 2 games

Answers

Answer:

b=0.12

c=0.46

Step-by-step explanation:

Which of the following is described by the notation? <-> AB|| <-> CD? A. Skew lines b. Parallel lines c. Intersecting lines d. Perpendicular lines

Answers

Answer:

B. Parallel Lines

Step-by-step explanation:

B. Parallel Lines

1.Choose the best description for ∠1 and ∠2 in the following figure.

2. Determine whether the angles are adjacent angles, a linear pair, or vertical angles. ​Some pairs of angles may have more than one relationship.

THE PICTURES ARE IN ORDER THE LAST TWO ARE FOR NUMBER 2

Answers

Answer:

1 ) Adjacent angles,

2 ) See solution below

Step-by-step explanation:

Question 1. Provided ∠ 1 and ∠ 1 are near one another, they can be referred to as adjacent ∠s;

Solution; Adjacent angles

Question 2.

Angles 5, and 6 are consecutively near one another, and thus are adjacent angles,

Angles 5 and 9 are supplementary knowing that they lie on a straight angle, so that they can be best named a linear pair, provided there are only two of these angles,

Angles 5 and 8 are opposite to one another so that they are ≅, thus should be names as vertical angles

Solution;

Angle | Adjacent Angles | Linear Pair | Vertical angles

∠ 5, 6 |        Check!          |                    |                        

∠ 5, 9 |                              |    Check!    |

∠ 5, 8 |                              |                    |        Check!

What is the area of the regular polygon?

Answers

The diagonal is 10, so a side is [tex]{10/\sqrt{2} }[/tex]

The area would be 100/2

or 50 m^2.

someone please help me

Answers

Answer:

720 degrees

Step-by-step explanation:

:
The CoffeeShop is creating a new blend of coffee. Coffee A sells
for $5 per pound. Coffee B sells for $9 per pound. The
Coffee Shop will mix 20 pounds of the new blend and sell it for $6
per pound. The following equations represent the problem of
keeping the cost of the blend consistent with the Ingredients.
a + b = 20
5a + 9b = 120
a = pounds of Coffee A and b = pounds of Coffee B
How many pounds of Coffee B should be used in the blend?

Answers

Let x = pounds of $12 per pound coffee

then

20-x = pounds of $9 per pound coffee

.

12x + 9(20-x) = 10(20)

12x + 180 - 9x = 200

3x + 180 = 200

3x = 20

x = 20/3

x = 6 and 2/3 pounds of $12 per pound coffee

.

Amount of $9 per pound coffee:

20-x = 20-20/3 = 60/3 - 20/3 = 40/3

or

13 and 1/3 pounds of $9 per pound coffee

Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of lazer tag costs $5. Select the equation that matches this situation.

Answers

Answer:

35 ÷ 5 = g

Step-by-step explanation:

First, you snatch her/his money to do math, then you take the $35 and look the the thing that tells you how much games cost then do 35 ÷ 5 but since you cant solve it just put 35 ÷ 5 = g , and last but not least you take Kendle's money because no lazer tag during a pandemic and run home before you get yelled at because you were at a lazer tag place and took someones money.

Answer:

35/5=g

Step-by-step explanation:

it's pretty simple! she has 35$ but each game is 5$ so 35 over 5 is g. and g= 7 hope this helped

Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will

Answers

Answer:

12 degrees

Step-by-step explanation:

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