Second time I’ve posted this. Please help!! :)

Second Time Ive Posted This. Please Help!! :)

Answers

Answer 1

Answer:

-2 is an extraneous solution because it creates 0 in the denominator.

There is one acceptable solution to the equation

Step-by-step explanation:

x² + 5x + 6 = x² + 2x + 3x + 6

                  = x(x + 2) + 3(x + 2)

                  = (x + 2)(x + 3)

[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]

x² + 3x + 2 = 5x + 10

x² + 3x - 5x + 2 - 10 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2) - 4(x + 2) = 0

(x + 2)(x - 4) = 0

x +2 = 0    or x - 4 = 0

x =  - 2    or x = 4


Related Questions

Which is the graph of f(x) = (x - 1)(x + 4)?
6
4
2
2
22
2
4
6
2
B42
2
O
O
4
2
2

Answers

Answer:

Graph D

Step-by-step explanation:

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

roots x=1,-4,

x=0, y=-4

OAmalOHopeO

Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So
that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a
fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.

Answers

Here we basically are finding the hypotenuse of a triangle with side lengths of 120yards+120 yards
Following the equation a^2+b^2=c^2, we are going to solve C this is because a & b at equivalent to 120( side lengths)

A^2 +B^2=C^2
square root= (A^2 +B^2)=C
square root=(120^2+120^2)=C
square root (120^2 + 120^2) = C
square root (14400 + 14400) =C
square root(28800)=169.7 rounded up to 170 yards of fencing needed!




if V = 1/3 BH, what is h expressed in terms of B and V?
A) 1/3VB
B) V/3B
C) 3V/B
D) 3VB

Answers

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

[tex]\frac{x+4}{2} -\frac{3}{x-3} =1[/tex]

Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out

Answers

Follow each step in the picture

Answer:

Hello,

Step-by-step explanation:

[tex]x\neq 3\\\\\dfrac{x+4}{2} -\dfrac{3}{x-3} =1\\\\\dfrac{(x+4)(x-3)-2*3-2(x-3)}{2(x-3)} =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\[/tex]

Grade improvement and study motivation

Answers

Answer:

yes because we are leraning new things

Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation

Answers

Answer:

y represents the amount in the bank account after 7 months.

Step-by-step explanation:

Let karma gets x money on his birthday.

He has 60 in his account initially

He deposits teh same money for the seven months

So, the money he has after the seven months is 7 x + 60  

According to the question,

y =7 x + 60

It shows that the amount after seven months is y.  

someone please help me

Answers

Step-by-step explanation:

D) (A³/2)³ = A⁹/8

A³ whole to the power 3 is A⁹

2³ is 8

Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C and
Moscow: -1°C
Which city is warmer?

Answers

Answer:

Moscow

Step-by-step explanation:

In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.

Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).

The temperatures provided for the cities are as follows:

Moosonee: -1.5°C

Cold Lake: -4.5°C

Anchorage: -9.5°C

Moscow: -1°C

To determine which city is warmer, we compare the temperatures.

The higher the temperature, the warmer the city.

Moscow has the highest temperature of -1°C.

Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.

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Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42

Answers

Answer:

D

Step-by-step explana

[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]

[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]

Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]

Add 1,249 and 594.
what is their sum rounded to the nearest hundred?

A. 700

B. 1,800

C. 1,900​

Answers

Answer:

1249+592=1843, rounding that you get B, 1,800

This will be C as it is rounded to the nearest 100 as 1,249 plus 594= 1833 we can infer the 1 is from the “thousands” column and the second one is “8” which is the hundreds column now if it’s 5 and above we round up if it’s below 5 we will round down therefore the answer is C-1900

-80% + 50/54 (fraction) - 0.25

Answers

Answer:

-67/540

Step-by-step explanation:

I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.

Simplify the expression 5(x-3)(x^2+4x+1)

Answers

Simplify the expression 5(x-3)(x^2+4x+1)

it would be I think answer number 3

In a fruit cocktail, for every 15 ml of orange juice you need 5 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

Answer:

1:10:3

Step-by-step explanation:

A box contains eight cards labeled P, Q, R, S, T, U, V, and W. One card will be randomly chosen.
What is the probability of choosing a letter from Q to W?
Write your answer as a fraction in simplest form.

Answers

Answer:

7/8

Step-by-step explanation:

Probability= (Cards having letter Q to W)/(All cards) = 7/8

Question 4 of 25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%

Answers

Answer:

Step-by-step explanation:

We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:

[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]

[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553

Now for the other z-score:

[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246

The lower percentage subtracted from the higher gives the area in question:

.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.

How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution

Answers

Answer:

Step-by-step explanation:

The best thing to do for these solution/mixture problems is to make a table:

                          #L           *           %alcohol         =            L alcohol

    10% sol.

+   80% sol.                                                                                            

    55% sol.  

In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:

#L * %alcohol = L alcohol  This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:

                          #L             *            %alcohol          =         L alcohol

   10% sol.                                             .10

+  80% sol.                                            .80               =                          

   55% sol.                                            .55

Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:

                             #L            *             %alcohol           =         L alcohol

  10% sol.                x            *                .10

+ 80% sol.               9           *                 .80                                                

  55%                                                      .55

Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:

                          #L           *             %alcohol            =              L alcohol

   10% sol.           x            *                 .10                  =                 .10x

+  80% sol.          9           *                 .80                  =                  7.2          

  55% sol.      (9 + x)         *                 .55                  =         .55x + 4.95

If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:

.10x + 7.2 = .55x + 4.95 and

- .45x = - 2.25 so

x = 5L

We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.

10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry

Answers

Answer:

y = 2·x/3 - 1

Step-by-step explanation:

The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)

The point contained on the shorter base = (3, 1)

The slope of the line representing the longer base, m, is given as follows;

m = (0 - (-4))/(4 - (-2)) = 2/3

The slope of the shorter base = The slope of the longer base = m = 2/3

The equation of the line representing the shorter base in point and slope form is therefore;

y - 1 = (2/3)·(x - 3)

∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1

The equation of the shorter side of the trapezoid is y = 2·x/3 - 1

Anyone? Ive tried and its not clicking

Answers

Answer:

Hello Bro How Are You....?

here you go. is this correct?

Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.

Answers

Answer:

D. distance

Step-by-step explanation:

really ? given the choices you needed help with that ?

only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.

What type of line is PQ?

A. side bisector
B. altitude
C. median
D. angle bisector

Answers

Answer:

D

Step-by-step explanation:

Since ∠ RPQ = ∠ SPQ = 60° , then

PQ bisects ∠ RPS and is an angle bisector

PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

What is angle bisector?

Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.

It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]

Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]

[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]

[tex]&m \angle R P S=120^{\circ}[/tex]

Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].

Therefore, the correct answer is option D. angle bisector.

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Plz someone do this for me I’ll give a lot of points

Answers

Answer:

RW is congruent to WX

Step-by-step explanation:

We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.

5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. "HT
H
b. 2T
15 cm
c.
ΖΗ
W
8 cm
T

Answers

Solution:-1

[tex] \\ \sf \longmapsto \: HT=√15^2+8^2[/tex]

[tex] \\ \sf \longmapsto \: HT=√225+64[/tex]

[tex] \\ \sf \longmapsto \: HT=√289[/tex]

[tex] \\ \sf \longmapsto \: HT=17cm[/tex]

Solution:-2

Angle T=15x

Let others be 8x and 17x

[tex] \\ \sf \longmapsto \: 8x+17x+15x=180[/tex]

[tex] \\ \sf \longmapsto \: 40x=180[/tex]

[tex] \\ \sf \longmapsto \: x=\dfrac{180}{40}[/tex]

[tex] \\ \sf \longmapsto \: x=4.5[/tex]

[tex] \\ \sf \longmapsto \: 15x=15(4.5)[/tex]

[tex] \\ \sf \longmapsto \: \angle T=67.5°[/tex]

Solution:-3

[tex] \\ \sf \longmapsto \: \angle H=8x[/tex]

[tex] \\ \sf \longmapsto \: \angle H=32.5°[/tex]

Angle ADB and CD are straight lines.

angle ADC = 5 x angle CDB

Work out the size of angle ADC.

Answers

Answer:

150 degrees

Step-by-step explanation:

5 + 1 = 6

180 : 6 = 30

30 x 5 = 150

what multiplies to get 56 and adds to get 15

Answers

Answer:

8 & 7

Step-by-step explanation:

x*y = 56

x+y = 15

y = 15-x

x(15-x)=56

15x-x^2 = 56

x^2 -15x + 56 = 0

Factored Form:  y= (x-8)(x-7)    

A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?

Answers

Answer:

Pick at least 4 balls to be sure that you are getting balls with the same color.

Step-by-step explanation:

Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.

You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.

So you shall be needing at least 4 balls picked to ensure that you have all the colors represented

Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9

Answers

Answer:

16 y squared minus x squared

Step-by-step explanation:

The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,

Now take the expression 16y²-x² and we can try to solve it.

We can simplify the terms separately to associate them as perfect squares,

→ 16y² = (4y)² --- (1)

→ x² = (1x)² --- (2)

Now we can take the difference of eq. (1) and eq. (2),

→ 16y²-x²

→ (4y)²-(1x)² --- (3)

Now eq. (3) shows a difference of squares.

Another representation is,

→ (4y - x) (4y + x)

→ 16y²- x²

→ (4y)²- (1x)²

Therefore, the expression 16y²-x² shows a correct difference of squares.

Answer:

its b trust

Step-by-step explanation:

PLEASE HELP!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
a. 20.3 ft
b. 9.9 ft
c. 25.9 ft
d. 12.6 ft

Answers

Answer:

The correct answer is a) 12.6 ft

Step-by-step explanation:

I took the test and got it right:)

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.

What is trigonometry?

The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.

Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.

Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Using Trigonometric Ratios of sin because of opposite over hypotenuse,

sin ∅=perpendicular/hypotenuse

sin(52) = x/16

16sin(52) = x

By calculating,

x = 12.6082 feet

Hence, the ladder goes at a height of 12.6082 feet.

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Cassie paid 55% of the bill. The remaining $18 was covered by her friend. What was the total bill

Answers

40 dollars since 50% of 40 is 20 and an extra 5% cuts 2 dollars off so 55% is 22 dollars thar Cassie payed leaving her friend with 18 dollars

A sphere has a radius of 8cm.Find its volume​

Answers

Answer:

[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 cm

Step 2: Find Volume

Substitute in variables [Volume of a Sphere Formula]:                                 [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]

Answer:

sphere

Step-by-step explanation:

volume of a sphere = 4/3πr³

= 4/3*22/7 * 8³

= 2145.5

What’s 4 divided by $5.32

Answers

Answer:

0.752

Step-by-step explanation:

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