which of the following are solutions to the quadratic equation? Check all that apply 2x^2+14x-4=-x^2+3x​

Answers

Answer 1

Answer:

[tex]x_1=-4\\\\x_2=\frac{1}{3}[/tex]

Step-by-step explanation:

Given the quadratic equation:

[tex]2x^2+14x-4=-x^2+3x[/tex]

You can follow these steps in order to solve it:

- Make the equation equal to 0:

[tex]2x^2+14x-4+x^2-3x=0[/tex]

- Now, add the like terms:

[tex]3x^2+11x-4=0[/tex]

- Finally, apply the Quadratic formula ([tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]):

In this case we know that:

[tex]a=3\\b=11\\c=-4[/tex]

Therefore, substituting values into the Quadratic formula and evaluating, we get:

[tex]x=\frac{-11\±\sqrt{11^2-4(3)(-4)} }{2(3)}\\\\x_1=-4\\\\x_2=\frac{1}{3}[/tex]

Answer 2
Final answer:

To find the solutions to the quadratic equation 2x^2+14x-4=-x^2+3x, we need to rearrange the equation and use the quadratic formula.

Explanation:

The quadratic equation is 2x^2+14x-4=-x^2+3x. To find the solutions, we need to rearrange the equation in the form ax^2 + bx + c = 0. Combining like terms, we get 3x^2 + 11x - 4 = 0. Now we can use the quadratic formula to find the solutions:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values a = 3, b = 11, and c = -4 into the formula, we can calculate the solutions.

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Related Questions

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept form.



The slope of the line is .

When the point (7, –4) is used, the point-slope form of the line is .

The slope-intercept form of the line is .

Answers

Answer:

The slope of the line is -7/8

When the point (7, –4) is used, the point-slope form of the line is

y+4=(-7/8)(x-7)

The slope-intercept form of the line is y=(-7/8)x+(17/8)

Step-by-step explanation:

Answer:

y+4=(-7/8)(x-7)

Step-by-step explanation:

How much of 10% HCl and 35% HCl would be needed to mix and produce 60 liters of 25% HCl?

About 30 & 30 liters
About 33 & 27 liters
About 36 & 24 liters
About 39 & 21 liters

Answers

Answer:

Equation:

HCL + HCL = HCL

0.30x + 0.45(50-x) = 0.35*50

Multiply thru by 100 to get:

30x + 45*50 - 45x = 35*50

-15x = -10*50

x = (2/3)50

x = 33 1/3 liters (amt. of 30% solution needed in the mixture)

50-x = 16 2/3 liters (amt. of 45% solution needed in the mixture)

=============

Step-by-step explanation:

Answer:

about 36 and 24 liters  

Step-by-step explanation:

    a+b = 60     1

let A multiplied by  10 percent and B multiplied by 35 percent then

  10 a + 35 b = 1500 ( 60 * 25 ) 2

add no. 1 to 2 and multiply no.1  by -10

-10 a+ -10 b = -600

10 a+ 35 b = 1500  adding

then     25 b = 900 then         b = 36 liter

then     a = 24 liter    

     

At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a large pizza topped with pepperoni, mushrooms, olives, and sausage. How much did their pizza cost?

Answers

Answer:

$18.99

Step-by-step explanation:

Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5

Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99

Answer:

18.99

work:

13.99 + (1.25 x 4 )

13.99 + 5

18.99

trust me, 18.99 + (1.25 x 4) will work and the work showing also

12 ÷2x3-(7-5)=?

Please help me solve this equation.

Answers

Answer:

16

Step-by-step explanation:

18-(7-5)

18-2=16

Answer:

16

Step-by-step explanation:

12 ÷ 2 × 3 - (7 - 5)

= 12 ÷ 2 × 3 - (2)

= 6 × 3 - 2

= 18 - 2

= 16

Which of the following is a composite number? A. 23 B. 11 C. 25 D. 19

Answers

Final answer:

The composite number among options A. 23, B. 11, C. 25, D. 19 is C. 25. Composite numbers have more than two factors, and 25 has factors 1, 5, and 25.

Explanation:

The question is asking to identify which of the given options is a composite number. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In simpler terms, composite numbers have more than two factors.

Now let's evaluate the given numbers:

23 and 19 are prime numbers because they have only two factors which are 1 and the number itself.11 is also a prime number with only two factors which are 1 and 11.25 has factors 1, 5, and 25. Hence, it is a composite number.

Therefore, 25 is the composite number among the given options.

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Final answer:

The composite number among the options is C. 25.

Explanation:

A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In other words, it is not a prime number. Examples include 4 (divisible by 1, 2, and 4) and 9 (divisible by 1, 3, and 9).

Thus, a composite number is a positive integer that has more than two divisors. To determine whether a number is composite or not, we check if it is divisible by any number other than 1 and itself.  Among the given options, 25 is a composite number because it can be divided evenly by 5 and 1, in addition to 25 and itself.

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Annie had 7 apples, she sold 5 of them, and bought 3 more apples. Annie gave 2 apples to her friends, and then lucy gave her 9 apples, annie ate 6 apples, and found 89 more apples. How many apples does annie have now?

Answers

Answer:

Annie has 95 apples now

Answer:

Annie has 95 Apples

Step-by-step explanation:

7 Apples - 5 Apples = 2

2 + 3 more apples = 5 Apples

5 Apples - 2 Apples = 3 Apples

3 Apples + 9 more apples = 12 Apples

12 - 6 = 6 Apples

6 Apples + 89 more apples = 95 Apples

1,580 milliliters (mL) is equal to how many liters (L)?

Answers

For this case we must make a conversion. By definition, we have to:

1 liter equals 1000 milliliters.

So, we make a rule of three:

1L ------------> 1000mL

x ---------------> 1580mL

Where the variable "x" represents the amount of liters equivalent to 1580 milliliters.

[tex]x = \frac {1580 * 1} {1000}\\x = 1.58[/tex]

Thus, 1580 milliliters equals 1.58 liters.

Anwer:

1.58 liters


A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100. What percent of exam scores are between 400 and 600?

__% of exam scores are between 400 and 600.

Answers

Answer:

68% of exam scores lie within one std. dev. of the mean

Step-by-step explanation:

Because the standard deviation is 100, one standard deviation above the mean comes out to 600.  Likewise, one std. dev. below the mean comes out to 400.  By the Empirical Rule, 68% of exam scores lie within one std. dev. of the mean.

Answer:

[tex]P(400<x<600) = 68.3\%[/tex]

Step-by-step explanation:

We know that the average [tex]\mu[/tex] is:

[tex]\mu=500[/tex]

The standard deviation [tex]\sigma[/tex] is:

[tex]\sigma=100[/tex]

The Z-score is:

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

We seek to find

P(400<x<600)

This is:

[tex]P(400<x<600)=P(\frac{400-500}{100}<\frac{x-\mu}{\sigma}<\frac{600-500}{100})\\\\P(400<x<600)=P(-1<Z<1)[/tex]

Looking for the value of z in a normal table we have to:

[tex]P(Z>1) =0.1587\\\\P(Z>-1) = 0.8413[/tex]

So

[tex]P(-1<Z<1)=P(Z>-1) - P(Z>1) =0.8413-0.1587=0.6826\\\\P(400<x<600) = 68.3\%[/tex]

Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether?

248.39
713.56
420.41
421.59

Answers

Answer:

248.39

Step-by-step explanation:

421 × .59 =248.39

Hello there  i hope you having a good day :) Question : Mr. Grocer has 421 dozen eggs valued at $0.59 per dozen. How much are the eggs worth altogether? 248.39 , 713.56, 420.41 ,421.59. 1. The cost  of one dozen of eggs = $0.59,2. The quantity of eggs Mr. Grocer has = 421 dozens,You would times 421 x $0.59 that would equal = $248.39and that would be your answer. So the first one :)Hopefully that helps you.

HELP! 18 points for the two questions!! urgent will mark brainliest

Answers

Answer:

1- none of the choices are correct.

2-none of the answer choices are correct.

Step-by-step explanation:

1- there is no k therefore none are correct because they all offer a solution for k

2- yes the parabola opens upward but none are right in the right mix for the other two. the vertex is at (0,-5) and the axis of symmetry is x = 0 (not only because I calculated it and the graph showed it but because (x,y) And the x spot is a 0)

any time you just see a plain x^2 or really anything like that in the same vanilla sense wether the exponent is changed or there is a coefficient and all it has is a plus or minus whatever it will just be along the y axis where the plus or minus number was. (can't remember any vanilla advice for parabolas sorry)

Answer:

1. a=5,h=0,k=0

2. None of the choices are correct

Step-by-step explanation:

1. The function given is:[tex]f(x)=5x^2[/tex]

We can rewrite this in vertex form as: [tex]f(x)=5(x-0)^2+0[/tex].

Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=5,h=0 and k=0.

The first choice is correct

2. The function given is: [tex]f(x)=x^2-5[/tex]

This can be rewritten in the vertex form as:

[tex]f(x)=a(x-0)^2-5[/tex]

Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=1,h=0 and k=-5.

Since 'a' is positive, the parabola opens upwards, and has its vertex at (h,k)=(0,-5), and line of symmetry at x=0.

Based on this, the correct choice is none of the choices are correct

What is the answer to 3​ √-125/216

Answers

Answer:

2.28i

Step-by-step explanation:

u divide the -125/216

then u square root it

and multiply it times 3

YES THE I IS FOR A REASON IT MEANS IT IS IMAGINARY

2.28i I think that’s the answer but I am not sure

what is the measure of major arc MBD

Answers

Answer:

The measure of the major arc MBD is 270°

Step-by-step explanation:

we know that

The measure of major arc MBD is equal to the sum of the measure of the arc MB plus the measure of the arc BD

BD is a diameter-----> divide the circle into two equal parts

so

arc BD=180°

arc MB is a quarter of circle

so

arc MB=90°

therefore

arc MBD=180°+90°=270°

8. Kristen borrowed $700 at a
simple interest rate of 15% for 3
years. How much interest will
Kristen pay?

Answers

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$700\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(700)(0.15)(3)\implies I=315[/tex]

which inequality is equalivalent to |x-4|<9​

Answers

Answer:

-5 < x < 13

Step-by-step explanation:

[tex]|x-4|<9\iff x-4<9\ \wedge\ x-4>-9\qquad\text{add 4 to both sides}\\\\x<13\ \wedge\ x>-5\to-5<x<13[/tex]

Complete the square to solve the equation below check all that apply x^2+8x-2=18

Answers

x^2+8x-2=18

x^2+8x-2-18= 18-18

x^2+8x-20= 0

(x-2)(x+10)=0

x-2= 0 , x+10=0

x-2+2= 0+2, x+10-10= 0-10

x=2 , x=-10

Answers are x= 2 -B, x=-10 -A.

Answer:

Option A and B

Step-by-step explanation:

Given : Quadratic equation [tex]x^2+8x-2=18[/tex]

To find : Complete the square to solve the equation below check all that apply ?

Solution :

Re-write, [tex]x^2+8x-2=18[/tex]

[tex]x^2+8x-20=0[/tex]

Applying quadratic formula,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, a=1 , b=8, c=-20

[tex]x=\frac{-8\pm\sqrt{8^2-4(1)(-20)}}{2(1)}[/tex]

[tex]x=\frac{-8\pm\sqrt{64+80}}{2}[/tex]

[tex]x=\frac{-8\pm\sqrt{144}}{2}[/tex]

[tex]x=\frac{-8\pm12}{2}[/tex]

[tex]x=-4\pm6[/tex]

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

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

The solution of the equation is x=2,-10.

Therefore, Option A,B satisfy the equation.

c/3 = 30/5 what steps do I take to see what c is?

Answers

For this case we must find the value of "c" of the following expression:

[tex]\frac {c} {3} = \frac {30} {5}[/tex]

We solve the right side of the equation:

[tex]\frac {30} {5} = 6[/tex]

Rewriting:

[tex]\frac {c} {3} = 6[/tex]

We multiply both sides of the equation by "3":

[tex]c = 6 * 3\\c = 18[/tex]

Answer:

[tex]c = 18[/tex]

Can someone help with this plz?

Answers

Answer:

Hey No worries. Its very easy.

Step-by-step explanation:

Look,

Volume= 84 in.cube

Length=6 in.

Breadth=2 in.

therefore, Height= Volume/(Length*Breadth)

=84/(6*2)

=84/12

=7

Answer:

h = 7 in

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

Given V = 84 in³, then

lbh = 84 ← substitute l = 6 and b = 2

6 × 2 × h = 84

12h = 84 ( divide both sides by 12 )

h = 7

Lydia wanted to flip a coin and roll a die at the same time, but she also wondered what the probability of the coin landing on heads and the die landing on a 5 would be. She did a little bit of thinking and came up with 1/4 as the probability.

In complete sentences, determine if Lydia is correct or incorrect and explain using what you know about compound probability of independent events.

Answers

Answer:

incorrect

Step-by-step explanation:

this is because it would be 1/2 and 1/6. you would have to multiply the bases for a probability of 1/12

The ratio of the lengths of an ellipse is 3:2. If it’s area is 150 cm2, what are the lengths of The major and minor semiaxes respectively?

Answers

Answer:

the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Step-by-step explanation:

Area of ellipse = π*a*b

Let major semiaxes = a and minor semiaxes = b

then a:b = 3:2

a/b = 3/2

=> a = 3/2 b

Putting in the value of formula

150 = π * (3/2)b * b

150 = 3.14 * 1.5b * b

150= 4.71 b^2

150/4.71 = b^2

=> b^2 = 31.8

b= 5.63

a = 3/2 * b

a = 1.5 * 5.63

a = 8.45

So, the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Answer:

Major: 8.5 cm

Minor: 5.6 cm

Step-by-step explanation:

Find the output, b, when the input, a, is 6.

B = -1 - 7a

B=

Answers

output B= -1-7*(6)

so -7*6=-42

-1-42= -43

The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation is given below.

B = - 1 - 7a

The value of the equation at a = 6. Then we have

B = - 1 - 7 × 6

B = - 1 - 42

B = - 43

The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.

More about the solution of the equation link is given below.

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Please help ASAP!!!! ​

Answers

The answer is B i had this problem.

Answer: OPTION B

Step-by-step explanation:

Multiply both denominators to find the Least Common Denominator:

[tex]LCD=(3y-4)(y^2)[/tex]

Now, divide each original denominator by the LCD and multiply the result by each numerator. Then:

[tex]=\frac{(6y^2+2y)(y^2)-(9y-7)(3y-4)}{(3y-4)(y^2)}[/tex]

Applying Distributive property, you get:

[tex]=\frac{6y^4+2y^3-(27y^2-36y-21y+28)}{3y^3-4y^2}\\\\=\frac{6y^4+2y^3-27y^2+36y+21y-28}{3y^3-4y^2}[/tex]

Add the like terms in the numerator:

[tex]=\frac{6y^4+2y^3-27y^2+57y-28}{3y^3-4y^2}[/tex]

find the missing angle measure in each figure​

Answers

Answer:

x = 100°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, hence

sum = 180° × 5 = 900°

Sum the given interior angles and equate to 900

x + 155 + 116 + 135 + 135 + 116 + 143 = 900

x + 800 = 900 ( subtract 800 from both sides )

x = 100°

85 kilometers is equal to how many meters

Answers

Answer:

85 kilometers is equal to 85 000 meters

Step-by-step explanation:

1 kilometer is equivalent to 1000 meters. Then to convert from kilometers to meters use the following conversion factor

[tex]x\ kilometers * \frac{1000\ meter}{1\ kilometers }[/tex]

In this case [tex]x=85[/tex]

Then

[tex]85\ km* \frac{1000\ m}{1\ km} =85,000\ m[/tex]

Finally 85  kilometers = 85,000 meters

Answer:

85km = 85,000m

Step-by-step explanation:

1km - one kilometer

kilo - 1,000 times more

1km = 1,000m

therefore

85km =85 × 1,000m = 85,000m

Determine the distance between -3 and 6.

A) -9 units

B) -3 units

C) 3 units

D) 9 units

Answers

Answer:

9 units

Step-by-step explanation:

Because you start at -3 and go up so you do not add the -9 its just 9

It's 9 units because there's no such thing as -9 units!

Factor 27a^3 b^9+8c^18

Answers

Answer:

(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)

Step-by-step explanation:

Given:

Polynomial 27a^3 b^9+8c^18

Factoring the given polynomial

27a^3b^9 can be written as

=3^3.a^3.b^3^3

=(3ab^3)^3

Also 8c^18 can be written as

=2^3.c^6^3

=(2c^6)^3

Hence Polynomial 27a^3 b^9+8c^18 can be written as

=(3ab^3)^3+(2c^6)^3

Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)

=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !

Help me find the domain of this function please

Answers

Answer:

Domain: {-12, 0, 24, 60}

Step-by-step explanation:

Function:

f(x) = [tex]\frac{x}{12}[/tex]

Range: { -1, 0, 2, 5}

For range = -1,

Domain: -1 = [tex]\frac{x}{12}[/tex] ⇒ x = -12

For range = 0,

Domain: 0 = [tex]\frac{x}{12}[/tex] ⇒ x = 0

For range = 2,

Domain: 2 = [tex]\frac{x}{12}[/tex] ⇒ x = 24

For range = 5,

Domain: 5 = [tex]\frac{x}{12}[/tex] ⇒ x = 60

Domain: {-12, 0, 24, 60}

Ari’s teacher says he may have his report grade based on either the mean or the median of his last six test scores.

88%, 73%, 97%, 76%, 90%, 80%

Which measure of center would best represent Ari’s grade?

Answers

Answer:

Mean because it is the average of all of them combined = best representation of all grades.

84% & Mean

Step-by-step explanation:

88 + 73 + 97 + 76 + 90 + 80 = 504

**divide by how many grades there are** (6 of them)

504 / 6 = 84

Meaning the best center representation would be 84%

Answer: The Mean

The mean is when you add up all of those grades and divide by the amount of exams.

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

Answers

ANSWER

5 units up

EXPLANATION

The given function is

[tex]y = 2 {x}^{2} [/tex]

The new graph is

[tex]y = 2 {x}^{2} + 5[/tex]

The new function is obtained by adding 5 to the original function.

This will shift the graph up by 5 units.

The translation is a vertical shift up by 5 units.

Answer:

The translation is 5 units up

Step-by-step explanation:

+5 on the outside means up by 5

6.
The higher your credit score, the _____.

lower your savings interest rate

higher your car loan rate

higher risk you are to a creditor

lower your mortgage interest rate

Answers

Answer:

lower your mortgage interest rate

Step-by-step explanation:

The higher your credit score, the __lower your mortgage interest rate__.

Because the higher your credit score, the less risk you represent for a lender, so it will most likely grant you a lowest rate for your mortgage/loan.

The "lower your savings interest rate " is not the answer because savings interest rates are not related to the credit score...

"higher your car loan rate " and "higher risk you are to a creditor " are consequences of a low credit score.

The answer is D (lower your mortgage interest rate)

Please help me it urgent find the total area.

Answers

I'll split this figure up in three sections, 65*60, 70*190, and 95*140.

95*140=13300

70*190=13400

65*60= 3900

Add the three areas of the three figures I have split the original figure into and you get 30600 ft²

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