Solve the following quadratic equation for all values of x in simplest form.
Answers
Answer:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Step-by-step explanation:
Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].
[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].
Factor out the 5, then isolate [tex]x^2[/tex]:
[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].
Therefore, the solutions to this quadratic are:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Related Questions
(-81) + 70=
Uhhhh answer someone-
Answers
Answer:
-11
Step-by-step explanation:
PLEASE SOMONE HELP ME PLEASE I NEED HELP I BEG OF YOU
Answers
Answer:
48 feet
Step-by-step explanation:
So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:
[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]
Now, you just have to solve.
First, combine like terms
[tex]13x + 2 = 106[/tex]
Then, subtract 2 from both sides
[tex]13x = 104[/tex]
Next, divide both sides by 13.
[tex]x = 8[/tex]
The last step is to find the length of 5x + 8 by substituting x = 8 in
[tex]5*8+8=40+8=48[/tex]
Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answers
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
what would 5,445 time 5,554 be
Answers
Answer:
30241530
Step-by-step explanation:
Brittney attempted to order a set of numbers from least to greatest
-2.9 72/80 2.979 3 1/5 π
what does Brittney need to do to make the order correct?
Answers
She needs to convert all the numbers be be the same type ( fraction or decimal).
With the numbers she has it would be easiest to convert all the numbers to decimals.
72/80 = 0.9
3 1/5 = 3.3
Pi = 3.14
Now she can arrange the decimals in order:
-2.9, 0.9, 2.979, 3.14, 3.2
She needs to switch 3 1/5 and pi
Answer:
3 1/5 is tha one
Step-by-step explanation:
What is the value of this expression when g=-3.5?
8 - 12g-51
A.
20
B.
10
O
C. 6
OD.
-4
Answers
Answer:
The value of the expression 8 - I2g - 5I is -4 ⇒ D
Step-by-step explanation:
The absolute value always gives a positive value IaI = a and I-aI = a
Let us solve the question
∵ The expression is 8 - I2g - 5I
∵ The value of g is g = -3.5
→ To find the value of the expression substitute g by -3.5
∵ 8 - I2g - 5I = 8 - I2(-3.5) - 5I
∴ 8 - I2g - 5I = 8 - I-7 - 5I
∴ 8 - I2g - 5I = 8 - I-12I
→ By using the rule above
∵ I-12I = 12
∴ 8 - I2g - 5I = 8 - 12
∴ 8 - I2g - 5I = -4
∴ The value of the expression 8 - I2g - 5I is -4
Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7
Answers
Answer:
The solution is x = -2, y = -3
Step-by-step explanation:
Let's start with the equation 3x + y = -9
Substitute the y for 5x+7 seen in the second equation
Now you have 3x + (5x+7) = -9
Lets solve:
Let's add the x's
Now we have 8x + 7 = -9
Substracy seven from each side
Now we have 8x = -16
Now let's divide 8 on each side
Now we have x = -2
Now lets plug in -2 to the second equation
The second equation is y = 5x+7
When we plug in -2 we get y=5(-2)+7
We multiply
We now have y = -10+7
Add
y = -3
The solution is x = -2, y = -3
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answers
Answer:
d is the answer
Step-by-step explanation:
Calculate the slope.
(-12,-5) and (0, -8)
Answers
Answer:
-1/4
Step-by-step explanation:
slope is always rise/run so
(-8)-(-5)=-3
-3/12=-1/4
the slope is -1/4
Enjoy^^
Simplify the polynomial using multiplication.
−5b(2a−3a2)
−10a+3ba^2
−10ba+15ba^2
−5b+2a−3a^2
10ba−15ba^2
Answers
Answer:
−10ba+15ba^2
Step-by-step explanation:
The product of the given monomial and binomial is -10ab+15a²b.
The given expression is −5b(2a−3a²).
We need to simplify the polynomial using multiplication.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.
Now, 2a×(−5b)−3a²×(−5b)
=-10ab+15a²b
Therefore, the product of the given monomial and binomial is -10ab+15a²b.
To learn more about the multiplication of polynomials visit:
https://brainly.com/question/17419800.
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Amanda is choosing between two cells phones plans plan a cost 15+0.08 per minute plan B cost 35 for unlimited calling X represent the number of minutes calling the time and why represents the total cost of the calling plan which system of equations could represent The scenario
Answers
Answer:
y = 15 + 0.08x
y = $35
Step-by-step explanation:
Given :
Plan A:
Flat rate = $15
Cost per minute = 0.08
Let x = number of minutes
Total. Cost = flat fee + (per minute charge * number of minutes)
y = 15 + 0.08x
Plan B:
$35 unlimited calling
Total cost, yregardless of minutes used :
y = $35
A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 164 cats. If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
Answers
>= is greater than or equal to
Peter's recipe for lemonade makes 48 cups of the drink. Which equation can be used
to find how many gallons of lemonade Peter's recipe makes?
Answers
Answer:
c i think
Step-by-step explanation:
The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
1 Cups = 0.0625 Galloon.
Peter make 48 cups of drink.
So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt
= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt
= 3 gal
Hence, 48 cups of the drink.
Learn more about Unit Conversion here:
https://brainly.com/question/19420601
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If quadrilateral ABCD is translated 3 units to the left and 5 units down, what are the coordinates of point B after the translation?
options:
(3, 15)
(-2, -2)
(1, 3)
(-4, 0)
Answers
Plz help u will get branliest!
Answers
For #3, the answers could be 2/4 or 3/6
For #4, the answers could be 8/10 or 16/20
For #5, they both equal each other
For #6, they both do not equal each other
For #7, they both do not equal each other
For #8, they both equal each other
For #9, they both equal each other
For #10, they both do not equal each other
For #11, they both equal each other
For #12, they both do not equal each other
I think #13 can be 1/3 and 2/6 since 4/12 is vanilla
I don’t know #14
Can someone pls help me!!
A. 5 inches
B. 16 inches
C. 13 inches
D. 19 inches
Answers
Answer:
c. 13
Step-by-step explanation:
[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]
please help and show work if you can
Answers
Answer:
14. x = 6, y = 8
15. x = 5, y = 7
16. x = 7, y = 10
Step-by-step explanation:
For a parallelogram, the length across the point of intersection of its diagonals are equal.
So that;
14. PT = TR
QT = TS
So that,
2x = y + 4
2x - y = 4 ...........1
x + 2 = y
x - y = -2 ............. 2
subtract equation 2 from 1,
x = 6
substitute the value of x in equation 1,
2 x 6 - y = 4
y = 12 - 4
= 8
x = 6, y = 8
15. PT = TR
QT = TS
x + 2 = y
x - y = -2 .......... 1
2x = y + 3
2x - y = 3 ......... 2
Subtract equation 1 from 2
x = 5
substitute the value of x in equation 1
5 - y = -2
5 + 2 = y
y = 7
x = 5, y = 7
16. PT = TR
QT = TS
y = x + 3
x - y = -3 ......... 1
2y = 3x -1
3x - 2y = 1 ......... 2
Multiply equation 1 by 2 to have;
2x - 2y = -6 ....... 3
subtract equation 3 from 2
x = 7
substitute the value of x in equation 1
7 - y = -3
-y = -7 -3
-y = -10
multiply through by minus
y = 10
x = 7, y = 10
Select the correct answer.
In which table does y vary directly with x?
Answers
Answer:
Option C.
Step-by-step explanation:
y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as
y = 26x
Which answer is correct ?????
Answers
Answer:
D
Step-by-step explanation:
The answer is
y = .613x + 4.142
this function has answer of d
Answer:
the first option..
Step-by-step explanation:
substitute the x values in the table for "x" in the equation and solve
The net of a rectangular prism is shown below. What is the total surface area of the rectangular prism represented by this net?
Answers
Answer:
150.88 cm²
Step-by-step explanation:
A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.
The opposite faces of a rectangular prism are equal to each other.
The total surface area (TSA) of a rectangular prism is:
TSA = 2(wl + wh + lh)
where w is the width of the base, l is the length of the base and h is the height of the prism.
From the question, we can see that:
w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:
TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)
TSA = 2(75.44)
TSA = 150.88 cm²
Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.
Answers
Answer: yes Jim is correct
Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.
What is a quadrilateral?The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.
If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.
Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .
The diagram is given below.
From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
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HELP PLEASEEEEEEEEEE
Answers
Answer: 1/125
Step-by-step explanation:
first, i multiplied it.
1/5^3
then, it's easy to evaluate from there.
1/125
what is 5x + 2 - 4x +3
Answers
(3,8) (9,0) find the slope
Answers
i dont understand this question
Answers
b) 180000 kilometers (im not sure if thats right)
c) 5/13 ?
The function G(t) = 2t represents the number of guitar lessons, G(t) you can complete in T months. How many guitar lessons can you complete in seven months
Answers
Answer:
14 lessons can be completed
Step-by-step explanation:
From the question, to get the number of lessons that can be completed, we simply multiply the number of months by 2
Thus, we have that;
G(2) = 2 * 7
G(2) = 14 lessons
Cara has driven one-fifth of the total distance, d, to her destination.
Which statement explains why both 1/5d and 0.2d can find the distance she has driven?
Multiplying by 1/5 is the same as multiplying by 20%.
Multiplying by 1/5 is the same as multiplying by 2%.
The fraction 1/5 is the same as the decimal 0.8. Therefore, 1/5d can be written as 0.8d.
The expressions are not equivalent.
Answers
Answer:
I dont even know man I wish I knew too
Determine the solution to the system of equations:
y = 3x +4
y = 2x + 1
Answers
Answer:(-3,-5)
Step-by-step explanation:
36 ft
27 ft
What is the length of the hypotenuse?
C
feet
Answers
1296 + 729 = C^2
2025 = C^2
C = 45
45 feet is the length of the hypotenuse
Have a great day!!
M is a multiple of 26. Which of the following cannot be true?
A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero