[tex]3x^2+8x+4=0[/tex]
Solve using the quadratic formula.

Answers

Answer 1

Answer:

[tex]x = -\dfrac 23\\\\x = -2[/tex]

Step by step explanation:

[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]

[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]


Related Questions

the diameter of a cone is 15 meters, the height is 1.5 times the radius, what is the volume?​

Answers

Answer:

V ≈ 662.68

Step-by-step explanation:

15 div by 2 = 7.5 (Radius)

7.5 x 1.5 = 11.25 (height)

Pi x 7.5^2 x 11.25/3
= 662.68

Find p.
30°
O
60°
7 in

Answers

Answer:

p = 14 inches

Step-by-step explanation:

using either the sine or cosine ratios

using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{p}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

p = 14

guys please help me outttt

Answers

How many types of pets are represented by the dot plot ?

ANSWER :-

There are total 8 types of pets represented by the dot plot . They are :

2 rabbit6 dog3 cat2 horse5 bird1 mouse3 fish1 other

Which pet is the most popular ?

ANSWER :-

Dog is the most popular pet

HOPE THIS HELPS :)

Step-by-step explanation :

Liza's classmates have owned two rabbits , six dogs , three cats , two horses , five birds , one mouse , three fishes and one other pet.

Therefore,

There are 8 type of pets owned by dot plot.

Now, we can easily count or see the pet which is in larger quantity as compared to others.

So the most popular pet owned is dog.

During a sale, a store offered a 10% discount on a camera that originally sold
for $430. After the sale, the discounted price of the camera was marked up by
10%. To the nearest whole number, what percent of the original price was the
price after markup?

Answers

Answer:

$4,30 that is the answer I'd my working on paper

Answer:

425.70

Step-by-step explanation:

Look at the photo and answer the question.
Please don’t just put the answer at the top of the text and don’t make it hard to find.

Answers

Answer:

second option

Step-by-step explanation:

5 newton pushing it to the right

while a mere 4 newton pushing it to the left

more force pushing towards right

The answer is B, or the second option with 5 newtons on the left and 4 newtons on the right.

This would be the answer because there are 5 newtons forcing the given object to the right while there are 4 newtons forcing the object to the left. Because 5 is greater than 4, the object would accelerate to the right in this model with 1 newton more of force than it would to the left.

what is the slope of the line graphed below?

Answers

Answer:

5

Step-by-step explanation:

the gradient is 5

change in Y over change in X

A school has 600 pupils. 1/5are in the upper school, 1/4 in the middle school and the remainder in the lower school. How many pupils are in the lower school?

Answers

Answer: 330 pupils

Step-by-step explanation:

the number of pupils are in the lower school

= (1- 1/5 - ¼) × 600

= (20/20 - 4/20 - 5/20)×600

= (11/20) ×600

= 330 pupils

f (10) = 10/2 = 5 . how to solve this problem​

Answers

Answer:

f(10) means to input x = 10 into the function.

From inspection of the given function:

[tex]\sf f(10)=\dfrac{10}{2}=5[/tex]

the "10" is the numerator of the fraction.

Therefore, swap the "10" for "x" to give the function in terms of x:

[tex]\sf f(x)=\dfrac{x}{2}[/tex]

For a function

f(x)=y

x is the input or domain

y is the output or range

Here

f(10)=10/2

So

x=10

y=10/2

Hence the function is

f(x)=x/2

Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.

Answers

What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.

What is the impact of withholding taxes?

Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.

Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.

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Find the slope of the line passing through the points -2,7 and -6,3

Answers

Answer: the slope is 1

Step-by-step explanation:

m = y2 - y1 / x2 - x1

m = 7-3 / -2+6

m = 4/4

m=1

Please help me identify the graph

Answers

Answer: F

Step-by-step explanation:

We know the angle is in the first quadrant, so its argument is in between 0 and 90 degrees.

This eliminates D and E.

Also, its modulus is the distance from the origin, which in this case is [tex]\sqrt{3^2 + 1^2}=\sqrt{10} \approx 3.16[/tex]

The answer that best matches this is F

If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )

Answers

Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

What are trigonometric functions?

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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ANSWER PLS!!!!!!!!! with exact explanation. not just only the answer

Answers

Answer:

12,500,000

Step-by-step explanation:

2^5 = 2×2×2×2×2 = 32

5^8 = 5×5×5×5×5×5×5×5 = 390625

32×390625 = 12,500,000

Hope you understood and brainliest please

Change each value of the quadratic equation. How does it change the graph?

Answers

Answer:

ty for points bye bye ok bye

Can you include a picture in the comments so that I can give you a more accurate answer?

(0.6.01) The probability that an event will occur is 2/3. Which of these best describes the likelihood of the event occurring?

A. Likely
B. Certain
C. Unlikely
D. Impossible

Answers

the right answer of this question is

C. unlikely

What is the distance between the points located at (5, 1) and (10, 11) ?

Answers

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Let, the points be A(5,1) and B(10,11) on the number line.

Here,

[tex]x_{1}[/tex] = 5. [tex]x_{2}[/tex] = 10

[tex]y_{1}[/tex] = 1. [tex]y_{2}[/tex] = 11

We,know that to find distance between two points, the formula is:

[tex] \sqrt{( {x}_{2} - {x}_{1})^{2} + ( {y}_{2} - {y}_{1} )^{2} } \\ \\ = \sqrt{(10 - 5) ^{2} + (11 - 1)^{2} } \\ \\ = \sqrt{ ({5)}^{2} + ( {10})^{2} } \\ \\ = \sqrt{25 + 100} \\ \\ = \sqrt{125} \\ \\ = 11.18[/tex]

Therefore, the distance between the two points (A) and (B) is 11.18

[tex] \boxed{ \frak \red{Hope \: it \: helps \: you}}[/tex]

mplete the solution of the equation. Find the
ue of y when x equals 0.
- 3x + 2y = -4
Enter the correct answer.
18
DONE
all
000
+?

Answers

Answer:

-2

Step-by-step explanation:

If x=0

-3(0)+2y=-4

-0+2y=-4

We can say

2y-0=-4

2y=-4

Dividing both side by 2,

y=-2

Which questions are statistical questions?
Which subjects do the students What is the number of students What is the height of each
in my class like?
student in my class?
in my class?
How many servings of fruit did
I eat each day this month?
What is my favorite color?
What is my mother's favorite
fruit?
What is my height?
What is the highest temperature
of each month this year?
How many students from each
school in this city love football?

Answers

Answer:

Which questions are statistical questions?

what is the number of students what is the height of each in my class?

how many servings of fruit did eat each day this month?

what is my height?

what is the highest temprature

of each month this year?

how many students from each school in this city love football?

Step-by-step explanation:

Need to include numerical values

hope this helps!

In the fall of 2003, a magazine article reported that about 87% of adults drink milk. A local dairy farmers' association is planning a new marketing campaign for the tri-county area they represent. They randomly polled 800 people in the area. In this sample, 654 people said that they drink milk. If 87% is the correct percentage of adults who drink milk, what is the probability that the association would observe 654 or less people who drink milk in the sample

Answers

Using the normal distribution, it is found that the probability that the association would observe 654 or less people who drink milk in the sample is of 0%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

For the binomial distribution, the parameters are given as follows:

n = 800, p = 0.87.

Hence, the mean and the standard deviation of the approximation are given by:

[tex]\mu = np = 800 \times 0.87 = 696[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{80 \times 0.87 \times 0.13} = 9.5121[/tex].

The probability that the association would observe 654 or less people who drink milk in the sample, using continuity correction, is [tex]P(X \leq 654.5)[/tex], which is the p-value of Z when X = 654.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{654.5 - 696}{9.5121}[/tex]

Z = -4.36

Z = -4.36 has a p-value of 0.

0% probability that the association would observe 654 or less people who drink milk in the sample.

More can be learned about the normal distribution at https://brainly.com/question/20909419

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f(x) = x+3
g(x)=2x² - 4
Find (f g)(x)..
OA. (f.g)(x) = 2x³ - 12
B. (f g)(x) = 2x³ + 12
c. (f.g)(x) = 2x³ + 6x² - 4x-12
OD. (f.g)(x) = 2x³ + 6x² + 4x+12

Answers

Answer:

I got 2x^3+3x^2-4x-12

Step-by-step explanation:

I hope this helps a little bit

What is the value of m in the equation m-n=16, when n = 8?
20
32
44
48

Answers

Answer: 24

Step-by-step explanation:

m - 8 = 16

m = 24

Answer:

24

Step-by-step explanation:

To find the value of "m", you need to plug n = 8 into the equation.

m - n = 16                             <---- Original equation

m - 8 = 16                             <----- Plug 8 in for "n"
   + 8  + 8                             <---- Isolate "m" by adding 8 to both sides

m = 24                                  <----- Final answer

A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is

Answers

well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.

[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]


Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS

Answers

SSS. if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent

all trigonomic equations are identities true or false

Answers

Answer:

False

Step-by-step explanation:

because trigonometric identities are true for ALL angles, whereas trigonometric equations are NOT true for ALL angles.

The statement "all trigonometric equations are identities" is false.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Trigonometric equations can be identities or conditional equations. An identity is an equation that is true for all values of the variable(s) involved. Examples of trigonometric identities are sin²θ + cos²θ = 1 and tanθ = sinθ/cosθ.

On the other hand, conditional equations are true only for certain values of the variable(s) involved. For example, sinθ = 0 has solutions only at θ = nπ, where n is an integer.

Therefore, not all trigonometric equations are identities. Some are conditional equations that are true only for specific values of the variables involved.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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fashoo G-looks brosay

Answers

Answer:

what are you talkin bout fam? you speakin gibberish rn

Step-by-step explanation:

The radius of a cylinder is $5/6$ its height. find the total surface area of the cylinder if its volume is $150\pi.$

Answers

Answer:

Total surface Area =1135.34 to 2.d.p

Step-by-step explanation:

math sos help please.

Answers

[tex](\frac{4m^5n^2}{m^2n})^3 = (\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})[/tex]

---Essentially, we're taking the given expression and multiplying it by itself three times. So, we can solve the problem by multiplying fractions or simply distributing the 3 to each term. Remember, we will be multiplying the existing exponents by the 3, not adding 3.

[4^3 m^15 n^6] / [m^6 n^3]

---Now, we need to simplify the expression. Since there are 15 m's on the top, and 6 m's on the bottom, we can take 15 - 6 to now have only 9 m's on the top.

64 m^9 n^3

Answer: A

Hope this helps!

if there are ten marbles, 2 yellow, 3 pink, and 5 blue, what is the probability of drawling two yellow marbles if the first one is placed back in the bag before the second draw

Answers

Answer:

what comprise horn of africa

1. ¿Cuál es la altura del asta bandera, si a
cierta hora del dia el ángulo que forma el
extremo de su sombra con la punta del asta
mide 37°?
37°
20 m

Answers

The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is

What is SOH CAH TOA?

The SOH CAH TOA simply means:

Sin A = Opposite/Hypothenuse

Cos A = Adjacent / Hypothenus

Tan A = Opposite /Adjacent

Solution

Note that we have the base as 20 meters and Adjacent angles "A" as 37°.

Given that

Tan A =  Opposite /Adjacent; we have

Tan 37° = Opposite (Height)/ 20 meters (Adjacent)

0.7536 = Height/ 20

Make Height the subject of the formula by multiplying both sides by 20.

Hence,

Height = 0.7536 * 20

= 15.072

≈ 15m

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Write the expression in repeated multiplication form. Then write the expression as a power.
(6^4)^2
The expression in repeated multiplication form is
The expression as a power is

Answers

Answer:

6^8

Step-by-step explanation:

(6^4)(6^4)

6^8

or something like that

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