What are the solutions of the quadratic equation 4x^2 + 34x?

Answers

Answer 1
To find the solutions, set the equation equal to 0. You get [tex]4 x^{2} +34x = 0[/tex]. We are going to factor our things that both terms have in common, a 2, and an x. This gives you [tex]2x(2x+17)[/tex]. How do you know this is true? If you distribute back out, you get the same as the original problem.

Now set these both equal to zero. 2x = 0, 2x + 17 = 0. Divide both sides by 2, you get one solultion of x = 0. For the other solution, subtract 17 from both sides; 2x = - 17. Divide by 2, x = -17/2 

Your solutions are x = {- 17/2, 0}

To check, plug these back into the original equation to see if they equal zero. 4(0)^2 + 34(0) = 0 + 0 = 0
4(- 17/2)^2 + 34(- 17/2) = 289 + (- 289) = 289 - 289 = 0

Related Questions

write two equations for a horizontal line and a vertical line.

Answers

Two equations for a horizontal line could be y = 1 & y = 5
Two equations for a vertical line could be x = 2 & x = 6

Horizontal lines are created when y is always equal to one number, while vertical lines are created when x is always equal to one number.

Hope this helps!

Which set of ordered pairs represents a function?

{(0, 0), (2, 3), (1, -4), (2, -2)}


{(5, 6), (2, 6), (-3, 4), (-1, 4)}


{(3, -2), (-4, -1), (0, 3), (0, 5)}


{(-5, 1), (-4, 2), (-5, 3), (-4, 4)}

Answers

The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value

Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a^2?

A.22.63
B.54.63
C.9.37
D.3.10

Answers

Since b = c, the angles B and C are congruent.
180 - 45 = 135
135/2 = =67.5

A = 45
B = 67.5
C = 67.5
a = ?
b = 4
c = 4

Since we know two sides and all three angles, we can use the law of sines to find a.

b/sin B = a/sin A

4/(sin 67.5) = a/(sin 45)

a = 4(sin 45)/(sin 67.5)

a^2 = (4(sin 45)/(sin 67.5))^2

a^2 = 9.37

Name the property of real numbers illustrated by the equation.
-3(x+4)=-3x-12

A: Distributive property
B: Associative property of addition
C: Associative property of multiplication
D: Commutative property of addition

Answers

Answer: Choice A) Distributive property

We're multiplying the outer -3 with the inner x to get -3x
Also, multiply the outer -3 with the inner +4 to get -12

So that's why -3(x+4) = -3x-12

A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin. What are the coordinates of this point? Use the drop-down menus to enter the coordinates below.

The coordinates of the point are
(
( ,
)
)

Answers

(3,0)(0,7) is the correct answer

This question is based on the coordinates of a plane. Therefore,  ( 3, 0) and ( 0, 7) are coordinates of this points.

Given:

A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin.

We need to determined the coordinates of the points.

According to the question,

It is given that, 3 units to the right of the origin means that, 3 units on positive x - axis.

As we know that,

On x -axis, y is equal to zero.

Therefore, the co-ordinate of this point is located on ( 3, 0).

Now, 7 units to the above the origin means that, 7 units on positive y - axis.

As we know that,

On y -axis, x is equal to zero.

Therefore, the co-ordinate of this point is located on ( 0, 7).

Hence,  ( 3, 0) and ( 0, 7) are coordinates of this points.

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shana wants to make a birthday cake for her mother. her old fashioned recipe calls for 3/12 Of a teaspoon of salt but she only has measuring spoons that use fourths. How many fourths of a teaspoon should she use ?


I get 2/4 because I did 1/4 of 3/12

Answers

it will be 1\4 what it measuring spoons

The answer is 1/4ths because if you do the equation correctly you get 1/4.

Your welcome

how do you divide fractions

Answers

you find the reciprocal of the second fraction and change the division sign to multiplication and multiply straight across

Dividing fractions is basically the same thing as multiplying fractions but by the reciprocal.

For example, [tex]\frac{3}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] you would change this so in the second fraction that is being divided, the numerator and the denominator would switch places. Instead, it would be...

[tex]\frac{3}{8}[/tex] x [tex]\frac{4}{1}[/tex]

If two angles are complementary to the same angle, then they are

Answers

If two angles are complementary to the same angle, then they are congruent.
Them angles are congoont my dood

Can you determine the number of digits in the quotient of 637 divided by 7 without dividing?explain.

Answers

The number 637 has 3 digits. When you dividing a number by a whole number,  the digits will be lowered if the number in the biggest digit smaller than the dividing number. In 637 number, the bigger digit is 6 which represents 600. Since the dividing number is 7 and it was bigger than 6, that means the number will lose 1 digit and become 2 digits number.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard deviation of 0.6-cm. For shipment, 22 steel rods are bundled together.

Find the probability that the average length of rods in a randomly selected bundle of steel rods is less than 109.1-cm.


Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.

Answers

Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)

To get the probability of less than 109.1 cm, the solution is computed by:


z (109.1) = (X-mean)/standard dev

= 109.1 – 108/ 0.6

= 1.1/0.6

=1.83333, look this up in the z table.


P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%

How would the distance formula be used in real life?

Answers

one example I can think of is to measure the direct distance between two locations. suppose A lives on the intersection of 30th avenue and 50th street, B lives on 70th avenue and 80th avenue, the distance between them would be the square root of [(70-30)^2 +(80-50)^2)], which is 50, so the straight-line distance between the two places are 50 blocks. 

What is the domain of the function f(x)=x+3

Answers

There are no restrictions on the values x can and can’t be, so in this case, your domain would be the set of all real numbers.

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 12z - 3 ≥ 2z - 15

Answers

12z - 3 ≥ 2z - 15
When you have to solve an equality like that, you need to put the variables apart (the numbers with letters) and the numbers apart.
So first, we need to reunite the variables, by subtracting "2z" from both sides of the equation:
12z - 3 ≥ 2z -15
12z - 2z - 3 ≥ 2z - 2z - 15
12z - 2z - 3 ≥ -15
10z - 3 ≥ 15

Then we add 3 to both sides:
10z - 3 + 3 ≥ -15 + 3
10z ≥ -12

Now divide both sides by 10
(10z)/10 ≥ -12/10
z ≥ -6/5

Now we need to write the answer as a mixed number.
-6/5 = -1.2
0.2 = 1/5
9
So -6/5 = -1 1/5.

So 12z - 3 ≥ 2z - 15 for Z ≥ -1 1/5

Hope this helps! :)

Assume RST MNO. If MN = 6, NO = 7, and MO = 11, what is the length of RS?

Answers

the answer is 6 hope this answers your question

Answer with explanation:

It is given that,

 R ST  ≅ M NO.

Also, MN=6 unit

NO=7 Unit

MO=11 unit.

When two triangles are congruent , their corresponding Sides and Angles are Congruent, that is equal.

So,Corresponding Side to MN is RS .

So, MN=RS

MN=6 unit

RS=6 unit

which inequality best represents the situation of you must be at least 52 inches tall to ride the water ride

Answers

C ; x must be greater than or equal to 52 because you have to be 52 inches or greater to ride this ride.

Answer:

Option C is the correct choice.

Step-by-step explanation:

We have been given a graph and we are asked to find the correct option which represents the inequality for the situation of one must be at least 52 inches tall to ride the water ride.

At least 52 inches means one should not be less than 52 inches. This means the length of one should be 52 inches or any number greater than 52 inches.

Let us see our given inequalities one by one.

A) Our first inequality represents height less than or equal to 52, which means that one should be at-most 52 inches, therefore, 1st inequality is not true for our given situation.

B) Our 2nd inequality represents height less than 52, therefore, 2nd inequality is not true for our given situation.

C) We can see from our inequality represented in option C that height is greater than or equal to 52 inches. It is including 52 (at least) and greater heights than 52, therefore, option C is the correct choice.

D) Option D shows an inequality that represents heights greater than 52 as it is not including 52, therefore, option D in not a correct choice.    

Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip.

Which expression is equivalent to the amount Miko paid?

A. (1+0.18)16

B. 16+0.18(16)

C. 16 + 1.18

D. 1+0.18(16)


Please explain your answer

Answers

I say the answer is: D) 16 + 0.18(16) But i don't remember how to explain it. Sorry! This probably didn't help.

Ms. Weasley

Answer:

D) 16 + 0.18(16)

Step-by-step explanation:

Please help! 3 questions, 1. Determine if the ordered pair is a solution of the equation. Is (-1,-30) a solution of y =10x?: a) True b) False
2.The point (5, -1) is a solution of the equation: y = 2x − 11 options: a) True b) False 3.Which ordered pairs are a solution to the equation? y = 8x options: a) (-1,-7) b) (2,16) c) (1,8) d) (-2,-6)

Answers

this is just a matter of subbing and solving to see if the equations are true

(-1,-30)...x = -1 and y = -30
y = 10x...so we sub
-30 = 10(-1)
-30 = -10 (incorrect)...so this is not a solution
================
(5,-1)...x = 5 and y = -1
y = 2x - 11
sub
-1 = 2(5) - 11
-1 = 10 - 11
-1 = -1 (correct)....so this is a solution
==============
y = 8x
sub in (2,16)...x = 2 and y = 16
16 = 8(2)
16 = 16 (correct)...so (2,16) is a solution

y = 8x
subbing in (1,8)...x = 1 and y = 8
8 = 8(1)
8 = 8 (correct)...so (1,8) is also a solution

thats all...just those 2 are the solutions

Which statement is true about this argument?

Premises:
If two lines are parallel, then the lines do not intersect.
Lines m and n do not intersect.

Conclusion:
Lines m and n are parallel.

Which statement is true about the argument?

The argument is not valid because the premises are not true.

The argument is not valid because the conclusion does not follow from the premises.

The argument is valid by the law of detachment.

The argument is valid by the law of syllogism.

Answers

B) The argument is not valid because the conclusion does not follow from the premises.

Although parallel lines cannot intersect, that does not mean that two lines are parallel just because they do not intersect. Two lines can be not parallel and still not intersect.

if angle m acd = 100 and angle m b =60, find angle m a

Answers

m<ACD = 100
m<B = 60

so
m<ACB = 180 - m<ACD
m<ACB = 180 - 100
m<ACB = 80

m<A = 180 - (60 + 80)
m<A = 180 - 140
m<A = 40

Answer:

The  measure of ∠BAC  is 40° .

Step-by-step explanation:

As given the figure in the question be as follow .

∠ACD = 100° , ∠B = 60°

Noe by using the the exterior angle is equal to the sum of the interior angle .

Thus

∠ACD = ∠CBA + ∠BAC

Put all the values in the above

100° =  60° + ∠BAC

∠BAC  = 100° - 60°

           = 40°

Therefore the  measure of ∠BAC  is 40° .

50 points! Write a compound inequality to represent all of the numbers between -4 and 6.

Answers

you want  x >-4 and x<6

 s0 the equation would be: -4<x<6

if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to right?

Answers

From left to right, the line slants upwards like in this image:
Final answer:

If the x-intercept of a line is positive and the y-intercept is negative, the line will slant downwards from left to right.

Explanation:

The line will slant downwards from left to right. The x-intercept being positive means that the line crosses the x-axis at a point to the right of the origin. The y-intercept being negative means that the line crosses the y-axis at a point below the origin. Since the slope of a line represents the direction and steepness of the line, a positive slope combined with a negative y-intercept indicates a line that slants downwards.

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A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Which shows the correct values for the variables in the table?

A. a = 18, b = 34, c = 65
B. a = 34, b = 18, c = 68
C. a = 34, b = 68, c = 47
D. a = 47, b = 18, c = 68

Answers

Answer:

The answer is B on edge 2020.

Step-by-step explanation:

Please help, I'm stuck on this answer.
True or false? Explain your answer.
The inequality −2(x + 10) ≥ 75 says the same thing as −2x − 20 ≥ 75. I can multiply by -2 on the left side without reversing the inequality symbol.

Answers

I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20

Multiply the outer -2 with the inner x to get -2 times x = -2x

Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20

So overall, -2(x+10) = -2x-20

--------------------------------------------

So that's how we're able to go from this [tex]-2(x+10) \ge 75[/tex] to this [tex]-2x-20 \ge 75[/tex]

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number. 

Answer:True

Step-by-step explanation:

Yes, you don't have to reverse the inequality symbol since the variables are not from the other side (right).

The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i=

Answers

√-1.  the i represents an imaginary number where you take the square root of -1.

Answer:

i = [tex]\sqrt{-1}[/tex]

Step-by-step explanation:

A complex number is that one having two parts:

One called real part, represented by a.And another called imaginary part, represented by bi, where b is also a real number plus i, as it was describe in the answer [tex]i = \sqrt{-1}[/tex].

Although  [tex]i =\sqrt{-1}[/tex], it is also [tex]i^{2} = -1[/tex], which has some interesting properties like [tex]i^{3}[/tex] = [tex]i * i^{2}= i * -1 = -i [/tex] , and so on.

These numbers came along when it was necessary to take the squared root of negative numbers:

[tex]\sqrt{-4} = \sqrt{-1} * \sqrt{4} = 2i ; -2i[/tex] .

Which expression is equivalent to (3−22)+5 ?

A. 22−5
B. 5−32 ​
C. 32−5 ​
D. 5−22

Answers

Final answer:

The expression (3-22)+5 simplifies to -14. None of the provided options: A. 22-5, B. 5-32, C. 32-5, or D. 5-22 are equivalent to the original expression.

Explanation:

Let's break this question down for you. The initial expression given is (3−22)+5. In math, operations inside the parentheses are performed first according to the order of operations (PEMDAS/BODMAS), which is followed by addition or subtraction. However, the expression inside the parentheses here results in a negative number, since 3−22 equals -19. Then add 5 to -19 gives you -14.

So, the none of the options A, B, C or D are equivalent to the original expression (3−22)+5.

It's important to understand order of operations in math because it helps to ensure that calculations are done correctly and consistently.

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none of the provided options (A, B, C, or D) match this value.

We start with the given expression (3−22)+5. It can be simplified step-by-step as follows,

Calculate inside the parentheses first: 3 - 22.

Since subtracting 22 from 3 is performed, we get: 3 - 22 = -19.

Next, add 5 to the result: -19 + 5 = -14.

Let's evaluate each of the provided options:

A. 22−5: This evaluates to 17, which does not match -14.

B. 5−32: This simplifies to 5 - 9 = -4, which does not match -14.

C. 32−5: This evaluates to 9 - 5 = 27, which does not match -14.

D. 5−22: This simplifies to 5 - 22 = -17, which does not match -14.

None of the provided expressions are equivalent to (3−22)+5. Therefore, the correct answer is: None of the above.

$10,000 is compounded semiannually at 12% interest for t years. what expression represents the amount of money after t years?

Answers

The expression would be
0.12t=10,000(2)

The expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].

The amount of money after t years can be represented by the following expression:

[tex]A = P(1 + \frac{r}{n})^{(n*t)}[/tex]

Where:

A is the amount of money after t years

P is the principal amount (initial investment), which is $10,000 in this case

r is the interest rate, which is 12% expressed as a decimal (0.12)

n is the number of times interest is compounded per year, which is semiannually (2 times per year)

Substituting the values into the expression, we have:

[tex]A = 10,000(1 + \frac{0.12}{2})^{(2*t)}[/tex]

Simplifying further, we get:

[tex]A = 10000(1.06)^{(2t)}[/tex]

Therefore, the expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].

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Please help and show all work.

Answers

1. 73
2.40
3.78
werent too hard

Logan's only debt obligations are a car loan payment of $512 and a credit card payment of $70 every month. What is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload?

Answers

The most used payment plan to avoid being in debt today is the 20% payment plan. In this payment , you divide your income into several parts.
20% for paying up debts, 10 % for savings, and 70% for everything else.

So, assuming that x is the minimum amount of money,  we know that

$ 512 + $70 =  20% . X

$ 582 = 0.2 . x

$ 582 / 0.2 = x

x = $ 2910




Answer:

$ 2910

Step-by-step explanation:

How can 52 over 9 be expressed as a decimal?
1. 4.3 with bar over 3
2. 4.7 with bar over 7
3. 5.3 with bar over 3
4. 5.7 with bar over 7

Answers

Answer:

so divide 52 divided by 9 and your awnser would be 5.7 with bar over 7 and the awnser would be the fourth one hope it helped.

Step-by-step explanation:

Answer:

D. 4. 5.7 with bar over 7

you sasy bacass

Step-by-step explanation:

you sasy bacass     you sasy bacass     you sasy bacass    you sasy bacass

If you flip the graph of the quadratic parent function, f(x) = x2, over the x-axis, what is the equation of the new function?

A. g(x) = –x2
B. g(x) = x–2
C. g(x) = (–x)2
D. g(x) =

Answers

i think the answer might be A.

Answer:

A. [tex]g(x)=-x^2[/tex]

Step-by-step explanation:

In flipping across x-axis a function gives its mirror image through the x-axis,

That is, when a function f(x) is flipped over x-axis,

Then the new function would be -f(x).

Here, the given function,

[tex]f(x)=x^2[/tex]

After flipping the function over x-axis,

[tex]g(x)=-f(x)[/tex]

[tex]\implies g(x)=-x^2[/tex]

Hence, option 'A' is correct.

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