Find the discriminant to determine the number of roots, then solve the quadratic equation using the quadratic formula.

2x^2+7x-4=0

Answers

Answer 1

[tex]2x^2 + 7x -4=0 \\<=> 2x^2+8x-x-4=0 \\<=>2x(x+4)-(x+4)=0\\<=>(x+4)(2x-1)=0\\<=> x+4=0 /or/ 2x-1=0\\<=>x=-4/or/x=\frac{1}{2}=0.5[/tex]

ok done. Thank to me :>


Related Questions

7x+27x+2 from -5x^2-2x
ADDING AND SUBTRACTING POLYNOMIALS

Answers

Answer:

7x+27x=34x

34x+2-(-5×^2)-2x

34x+2+5x^2-2x

34x+2x=36x

36x+2+5x^2

The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64, what is it worth now? Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

The share of stock is $88.33 worth now which is the value of a share of stock on the stock market decreased by 14%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64 which is given in the question.

We have to determine the evaluation of 15% of 60.

⇒ 14% of $102.64

15%  is expressed as 15/100 in fractional form

⇒ (14/100)(102.64)

15/100  is expressed as 0.15 in decimal form

⇒ (0.14)(102.64)

Apply the multiplication operation, and we get

⇒ 14.31

Therefore, 14% of $102.64 would be $14.31.

The share of stock is worth now: $102.64 - $14.31 = $88.33.

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what is 3.98.7 * 29.76+

Answers

Answer:

- 7% of 3.98...

... is equivalent to multiplying them:

- 7% × 3.98 ≈ - 0.28

(Rounded to a maximum of 2 decimals)

Step-by-step explanation:

In one month Karissa earned $600 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $900 next month. How much will be withheld for federal income tax?

Answers

Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.

What is the solution to this equation? 1⁵+5²/25⁰-5¹=

Answers

Answer:

It is 21 first guy is no doubt correct.

Step-by-step explanation:

The expression results to 21.

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

1⁵+5²/25⁰-5¹

So, 1⁵ = 1

5² = 25

25⁰ = 1

5¹ = 5

Now, 1⁵+5²/25⁰-5¹

= 1+ 25 / 1 - 5

= 1 + 20

= 21

Hence, the expression results to 21.

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can help my little bro

Answers

Answer:

$0.03

Step-by-step explanation:

chips: 7.84/16=0.49

pretzels: 12.48/24=0.52

0.52=0.49=0.03

If (2a+b,11) and (1, a-3b) are equal ordered pair then (a,b) = ______.​

Answers

Given that

(2a+b,11) and (1,a-3b) are equal ordered pair

⇛(2a+b,11) = (1,a-3b)

On comparing both sides then

2a+b = 1 ----------Eqn(1)

11 = a-3b

⇛ a-3b = 11 ------Eqn(2)

⇛ a = 11+3b-------Eqn(3)

On substituting the value of a in Eqn(1) then

⇛ 2(11+3b) + b = 1

⇛(2×11)+(2×3b) + b = 1

⇛ 22 +6b+b = 1

⇛ 22+7b = 1

⇛ 7b = 1-22

⇛ 7b = -21

⇛ b = -21/7

⇛ b = -3

On substituting the value of b in Eqn(3) then

⇛ a = 11+3(-3)

⇛ a = 11-9

a = 2

Therefore, a = -3 and b = 2

Answer:-The value of (a,b) for the given problem is (-3,2).

what is 12-(-3)-2(4)

Answers

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

15-8=7

12- (-3) - 2(4) = 12 + 3 - 8 = 7
Ok done. Thank to me :>

Functions fg and hare shown on the graph. Y 10- 8 6 h 4- 2- x 10 -6 -4 - 2 2. 4 6 8 -10 -8 10 2- 4 -6 00 8- -10 Which of these functions have a domain of all real numbers? ОА. function fonly OB. functions f, g, and h oc functions fand gonly . OD functions g and h only​

Answers

the answer is b. functions f,g and h

All the function graphed have domain of all real numbers.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

The domain of a function is defined by the graph's x-values (input values).

Similarly, Range is defined by the set of y-values (output values) in the function's graph.

Now, From the graph attached,

Domain of function 'f' : {x | x ∈ R}

Domain of function 'g' : {x | x ∈ R}

Domain of function 'h' : {x | x ∈ R}

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What is the equation of the line that passes through the point (-6,8) and has an undefined slope?​

Answers

Answer:

x = -6

Step-by-step explanation:

Slope is rise over run (change in y divided by change in x), and to have an undefined slope change in x must be zero. The line x = -6 is a vertical line that passes through the point (-6,8).

When c=-7, evaluate 4(9/4+5/7c)

Answers

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)



ROCKETS The height in feet of a rocket t seconds after launch is modeled
by h(t) =–16t2 + 72t. Find its average speed from 3 to 4 seconds.
F-56 ft/s
G40 ft/s H 40 ft/s
J 56 ft/s

Answers

The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

Substitute 4 for t in the equation h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

Substitute 3 for t in the equation h(t) =–16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

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Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1

Answers

Answer:

Gracias por los puntos

Bye :v

The term laissez-faire refers to an economic system that is characterized by

A. public ownership of the basic means of production

B. equal distribution of goods and services to all citizens

C. little governmental involvement in business and financial matters

D. government planning for production of consumer goods

Answers

Answer:

Answer: C.

Step-by-step explanation:

the term laissez faire refers to the economic policy of letting owners of industry and business set working conditions without interference

What is 9 + 10 I do not know

Answers

Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

suppose You earn Birr 10,000.00 per month and pay 20% tax and spend 60% of it. Again the recipient of the money spent by you pays 20% tax and spends 60% of it. If this process continues without end, find the total amount that wil be paid for the tax​

Answers

Answer:

  Birr 5000

Step-by-step explanation:

You will pay 10,000×20% = 2000 in tax. Recipients of your spending will pay ...

  0.60×10,000×20% = 1200

Recipients of the spending at the next level will pay a tax of ...

  0.60×0.60×10,000×20% = 720

That is, the tax amounts have an initial value (a1) of 2000 and a common ratio (r) of 0.60. Their total is given by the formula ...

  sum = a1/(1 -r)

  sum = 2000/(1 -0.6) = 5000

Birr 5000 will be the total amount paid for tax in this process.

6/7 divided by 12/14 please show the work

Answers

Answer:

1

Step-by-step explanation:

When dividing one fraction by another, the best way to solve it is to multiply by the reciprocal. The reciprocal just flipping the fraction over. So you would leave the 6/7 and the multiply by 14/12( because you are multiplying by the reciprocal). When you do that, you then can just multiply the top and the bottom to form one fraction. The numerator is 6*14 = 84, and the denominator is 7*14 = 84. So you are left with 84/84 which anything over itself is equal to one.

Hope this helps!

hope this help u and good luck

12 - 33/4 equal in fraction form?

Answers

The answer is 3 3/4
Happy Holidays!

Answer:

The answer is 3  3/4 I think

Step-by-step explanation:

Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

Answers

Answer:

24/2

Step-by-step explanation:

i need help with this question

Answers

Answer:

check online for more information

HELP PLSSS

Use the commutative
property to make an
equivalent
expression.
4+m=?

A. 4-m
B. m+4

Answers

Answer:

B. m+4

Step-by-step explanation:

You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.

Answer: A

Step-by-step explanation:

Which of the segments below is a secant?
С
F
О.
В
Д.
А
u
А. ОВ
B. AB
ООО О
C. DE
D. AD

Answers

Answer:

it is d i believe

The secant of a circle is line segment AD. Therefore, option C is the correct answer.

What is secant of a circle?

A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.

Given that, circle with center O.

In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.

Therefore, option C is the correct answer.

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Pls help I’m failing do it on paper and put it in the answer box

Answers

Step-by-step explanation:

there is no mathematical problem to solve.

just follow the instructions as given.

this is an exercise for you to get a feeling about what is what. it is imperative that you do it.

there is really nothing to solve.

remember, that a positive slope means the line goes up (from left to right), and a negative slope means the line goes down (again from left to right).

and I am sure you know what vertical and horizontal means.

Please help me... I really need it.

Answers

Answer:

If you are writing a seesya let me help you

Step-by-step explanation:

Make sure to hilight key info

Also use grammarly to correct past tense and sentences

Make sure to make sense

Which is a composite number? A.97 B.89 C.95 D.13

PLEASE I REALLY NEED THE CORRECT ANSWER RIGHT NOW!!!!​

Answers

Answer: C. 95 is a composite number.

Step-by-step explanation:

You can look at the ones place of each number to see if any end in 0, 2, 5, or any other digit that indicates that the number is not prime. Since 95 ends in a 5, it can be divided by 5, making it have more factors than 1 and itself. Therefore, 95 is the composite number of the list of numbers.

Answer:95

Step-by-step explanation:composite numbers are numbers that have more factors than 1 and itself, factors are numbers you can multiply to get a number. 95 is a composite number since 1,95, AND 5 are all factors of 95 making it a composite number

A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).

Answers

Answer:

B

Step-by-step explanation:

To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.

So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.

I am confused in these problems ?
8. 9.

Answers

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

I need help with problem.

Answers

I believe it is reflection across y=-2

Answer:

Reflection across the x-axis

Step-by-step explanation:

Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.

what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?

Answers

Answer:

perimeter: 56 unitsarea: 192 square units

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

  P = 2(L +W)

  P = 2(16 +12) = 56 . . . . units

and an area of ...

  A = LW

  A = (16)(12) = 192 . . . . square units

Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.

Answers

Answer:

15.48

Step-by-step explanation:

When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.

Answer:15.48

Step-by-step explanation:

15.48

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