Solve by completing the square (Show all work)
x2 – 10x + 10 = 35
Please help!
Answer:
x=5+5√2; x=5-5√2
Step-by-step explanation:
To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.
First, let's subtract 10 from both sides.
x^2-10x=25
This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.
x^2−10x+25=25+25
IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.
From here we can factor, simplify and find our zeroes.
(x-5)(x-5)=50
(x-5)^2=50
x-5=±√50
x=5±√50
√50=5√2
So our final answer is:
x=5+5√2; x=5-5√2
HTH :)
A necklace regularly sells for $25.00. The store advertises a 15% discount. What is the sale price of the necklace in dollars?
Answer:
$21.25
Step-by-step explanation:
100 - 15 = 85
25 * 0.85 = 21.25
Can somebody plz answer all of them correctly! (Only if u done this before) THANKS!
will mark brainliest
Answer: 31: -12, -2
32: -6, 3
33: 4, -4
34: 1, 8
35: 2, -6
36: 2, -3
37: -5, -6
38: -8, 9
39: 7, 0
Step-by-step explanation:
Hope this helps!
Answer:
31. -12, -2
32. 6, -3
33. -4, 4
34. 8, 1
35. -6, 2
36. -3, 2
37. -6, -5
38. 8, -9
39. 7, 0
Step-by-step explanation:
31. -12 + -2 = ‐14 and -12 x -2 = 24
32. 6 + -3 = 3 and 6 x -3 = -18
33. -4 + 4 = 0 and -4 × 4 = -16
34. 8 + 1 = 9 and 8 x 1 =8
35. -6 + 2 = -4 and -6 x 2 = -12
36. -3 + 2 = -1 and -3 x 2 = -6
37. -6 + -5 = -11 and -6 x -5 = 30
38. 8 + -9 = -1 and 8 x -9 = -72
39. 7 + 0 = 7 and 7 x 0 = 0
HELP PLESEEEEEEEEEE
Answer:
b because if it was c it would be 12 ft the flagpole is 10 ft so 8 ft is right because you need 10
Multiply and simplify the following complex numbers:
(3 – 4i) · (–3+ 2i)
Answer:
The answer is -1 + 18
Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answer:
$62.5Step-by-step explanation:
Step one:
Given data
Danica's goal is to save $1500
her pay is $180 weekly.
the duration is 6months
in a month we have 4 weeks
in 6months there are 6*4= 24 weeks
Step two:
In 24 weeks Danica's earnings will be 24*180= $4320
nevertheless, she only needs $1500 for the 24 weeks to make the down payment
So per week, she will need to save 1500/24= $62.5
Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15
What does x =
Answer:x=9
Step-by-step explanation:
-2x+3=-15
Subtract 3 on both sides:
-2x+3-3=-15-3
-2x=-18
Divide -2 on both sides:
-2x/-2=-18/-2
x=9
If the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation as follows -
- 2x + 3 = - 15
The given equation is -
- 2x + 3 = - 15
Solving, we get -
- 2x = - 15 - 3
- 2x = - 18
2x = 18
x = 9
Therefore, if the expression (- 2x + 3) is equivalent to (- 15), then [x] is equivalent to 9.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch? Group of answer choices 4/7 3/4 1 3/4 1 1/2
Answer: 1 3/4 cups of apples in each batch
Step-by-step explanation:
STEP 1
Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples
LET x be number of cups of apples to make each batch
7 cups of apples = 4 Batches
x cups of apples = 1 Batch
STEP 2 Solving by cross multiplication
1 batch x 7 cups of apples = 4 batches X x cups of apples
x cups of apples=1 batch x 7 cups of apples / 4batches
x = 7 / 4 = 1 3/4
number of cups of apples to make each batch= 1 3/4
Abby takes a ride-sharing service to ride from her home to the mall. The ride-sharing service charges $1.75 per mile plus a one-time charge of $5.00. Which equation can be used to find y, the total cost of the ride, given x represents the number of miles of the ride
Answer:
y=1.75x + 5.00
Step-by-step explanation:
When Katya factored 288, she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18, 32, 36, 48, 72, 96, and 288. Use a factor rainbow to decide which three factors she missed.
Answer:
Please find a representation of the factor rainbow below.
The missing factors are: 4, 24, and 144
Step-by-step explanation:
The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.
To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.
From the attached factor rainbow (see attached image), it can be observed that factors: 4, 24, and 144 are missing in the list of factors Katya provided.
What would the equation be if my coordinates were, (-4,3) (2,6) ?
Answer:
y=1/2x+4
Step-by-step explanation:
change of x=2-(-4)=6
change of y=6-3=3
slope=3/6 or 1/2
y intercept=5
y=1/2x+5
.Shaun estimated that the attendance at a college
volleyball game was 1,000. The actual attendance was
1,632. What is the percent error of Shaun's estimate?
Round to the nearest whole percent
Answer:
38.72%
Step-by-step explanation:
Estimated attendance = 1,000
The actual value of attendance = 1,632
We need to find the percent error of Shaun's estimate. Using the formula as follows :
[tex]\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100[/tex]
Put all the values,
[tex]\%=\dfrac{1632-1000}{1632}\times 100\\\\=38.72\%[/tex]
So, the percent error of Shaun's estimate is 38.72%.
A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.
Which point represents the fourth bus stop?
A.
(11, 8)
B.
(13, 12)
C.
(15, 10)
D.
(19, 12)
Answer:
Y then X
Step-by-step explanation:
cause I know
Answer: C bc i think
Which of the following is equivalent to the fraction above? -(3/16)
A. 6/13
B. -13/6
C. -6/-13
D. -6/13
Answer:
c
Step-by-step explanation:
Answer:
D. -6/13
Step-by-step explanation:
calculate the perimeter of a square with vertices on a circle of diameter 4 cm
Answer:
I dont like sqaures.
Step-by-step explanation: Their pointy.
What is the place value of the 3 in the number 40,328,960
What is the y intercept of 4y+9x=18
Answer:
y = 9(2 - x)/4
Step-by-step explanation:
1.) Subtract 9x from both sides.
4y = 18 - 9x
2.) Divide both sides by 4.
y = 18 - 9x/4
3.) Factor out the common term 9.
y = 9(2 - x)/4
My words:
Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?
The y intercept of the equation of the line 4y+9x=18 is 4.5.
What is defined as the y-intercept of the line?The point at which the graph intersects this same y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are recognized as the x and y intercepts. An intercept of the a function is the point at which the function's graph intersects the axis.For the given question,
The equation of the line is given as;
4y+9x=18
Write the equation in slope intercept form.
y = mx + c
Where, m is the slope and c is the y intercept.
4y = -9x + 18
y = -9x/4 + 9/4
y = -9x/4 + 4.5
Comparing with the standard form, y intercept is found as 4.5.
Thus, the y intercept of the equation of the line 4y+9x=18 is 4.5.
To know more about the y-intercept, here
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I could rlly use sum help - Brainliest!!!!!
Factor completely 4x^4− 20x^3 + 12x^2
Factor completely x^2 − 4x − 12
Which of the following is a factor of x^2 − 6x − 27
Which is a factor of 3x^2 − 33x + 84
Factor completely 81x^2 − 100
Which is a factor of 3x^2y^2 + 6x^2 + 12y^2 + 24
Which of the following is a factor of 15x^2 − 14x − 8
Which is a factor of 12x^2 − 46x − 8
Which of the following is a factor of 2xy + 8y − 8x − 32
What is the factored form of 3x^2 + 5x − 12
Answer: The answers are 4x^2(x^2+5x+3), (x–6) (x+2), (x–9), 3(x–7)(x–4), (9x–10) (9x+10), 3(y^2+2)(x^2+4), (5x+2), 2(x–4)(6x+1), 2(x + 4)(y - 4), and the factored form is (3x–4)(x–3).
Step-by-step explanation: To solve all the factoring equations, factor using the AC method or factoring the polynomials, the 3 steps are Grouping: using the sum-product pattern, common factor from the two pairs, and
rewrite the expression in factored form.
True or False??
.............................
Answer:
That is true.
Step-by-step explanation:
Look at this example:
3/1 = 1/3 This example applies to most fractions.
Helps me solve this problem please
Answer:
the slope is 1/2 to this
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
what is the value of this expression below when y=2 and z = 8 : 8y-z
Answer:
= 8
Step-by-step explanation:
y is 2 then 8y is 8×2=16
z is,8
8y - z is 16-8
=8
Help me out real fast
LOOK AT THE PICTURE
Determine whether the graph represents a proportional relationship.
Yes, it is a proportional relationship because the graph goes through the origin
Yes, it is a proportional relationship because the graph is a straight line
No, it is not a proportional relationship because the graph is not a straight line
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
Has to be in the origin in order to be proportional
Answer:
the anser is C
Step-by-step explanation:
i took the test
on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 feet. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
9514 1404 393
Answer:
30√2 feet ≈ 42.4 feet
Step-by-step explanation:
If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...
the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet
a lawnmower that regularly sells for %150 was discounted by 25% off.
Questions:
Markup?
Sale price?
The pizza shop sells artwork by local artists. For each piece it sells, the shop receives a 15 percent commission. The most expensive piece it ever sold was priced at $225. Which expressions represent how much the shop received? Check all that apply.
Answer:
The 15 percent commission is what the shop received.
Step-by-step explanation:
It said that the most expensive piece it ever sold was 225
not that the most money they made is 225
a and b
Step-by-step explanation:
I need 5 lines that have a positive slope
Answer:
y=5x+3
y=2x-6
y=(2/3)x+8
y=100x-15
y=10x-2990
Step-by-step explanation:
The equation of a line is y=mx+b, where m is the slope and b is the intercept. As long as m is positive and you plug something in for b, it can be used to answer your question.
how do you solve 18 - (-2)=
Answer:
the answer would be 20
Step-by-step explanation:
so if 18-(-2)=?
two nwgatives make a positive. So the equation would turn into 18+2=20
Im not 100% if this is right but htis is how I was taught to do it.
Help pls! A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
A. 10.3 square feet
B. 14 square feet
C. 122.5 square feet