Solve x^2+11x=−10 by completing the square.
The solutions are x= ___ and x=___.
Answers
Answer:
-10, -1
Step-by-step explanation:
To complete the square, we add the square of half the x-coefficient:
x^2 +11x +5.5^2 = -10 +5.5^2
(x +5.5)^2 = 20.25
Taking the square root, we get ...
x +5.5 = ±4.5
x = -5.5 ±4.5 = {-10, -1}
The solutions are x = -10 and x = -1.
Related Questions
Evaluate the expression below if m = 350.
3.5m =
Answers
Answer:
1,225
Step-by-step explanation:
3.5×350=1225
its saying m is 350 and the question is asking 3.5 times 350
Select ALL TRUE statements about Linear Functions:
Group of answer choices
The degree of the function is one.
The y values change by a common difference.
The graph is a straight line.
Vertex form is used for graphing.
Answers
Step-by-step explanation:
The degree of the function is one: Correct
The y values change by a common difference: incorrect
The graph is a straight line: Correct
Vertex form is used for graphing: Incorrect
Hope that helps :)
Find the heart rates of you and your friend. Your heart rate is beats per second. Your friend's heart rate is beats per second. Question 2 Do these rates form a proportion? Explain. Yes, the rates have the same units. Yes, the rates are equivalent. No, the rates have values greater than 1. No, the rates are not equivalent.
Answers
Answer:
Your heart rate is 1.1 beats per second. Your friend's heart rate is 1.2 beats per second. Yes, the rates have the same rate (bps).
Step-by-step explanation:
Your heartbeat = 22:20 (can be reduced to 11:10) or 22/20 = 1.1 bps
Friend's heartbeat = 18:15 (can be reduced to 6:5) or 18/15= 1.2 bps
HOPE THIS HELPSWhat are the 3 different rates of change (slope)?
for 1 - 10 min
for 10 - 13 min
for 13 - 17 min
Answers
Answer:
__1__for 1-10min
__0__for 10-13min
__2__for 13-17min
Step-by-step explanation:
i saw part of the answer key
Please help I was sick and missed out on class.Thank you
Answers
Answer:
-1/3
Step-by-step explanation:
Substituting into the slope formula, the slope is \(\frac{-6-(-5)}{-6-(-9)}=-\frac{1}{3}\)
What is the answer to this algebraic expression: 5y + 7 =
Answers
I belive this is:
5y + 7 = 0
5y = -7
y = -7/5
(This could be wrong sorry!)
What is the y-intercept of f(x) =
100-(3) * ?
5
A. (1,0)
B. (0,0)
(¹3)
D. (0, 1)
C.
Answers
Answer:
X intercepts: (100/3,0)
Y intercepts: (0,100)
Which exponential function is represented by the graph?
F(x) = 2( 3 )
Of(x) = {(2)
f(x) = {(2)
x22
Answers
Answer:
f(x) = 0.5(2)ˣ
Step-by-step explanation:
Let the exponential function for the given graph is,
f(x) = a(b)ˣ
Since, point (0, 0.5) lies on the graph,
Satisfy the function with the point lying on it.
0.5 = a(b)⁰
a = 0.5
Another point (1, 1) also lies on the graph,
1 = 0.5(b)¹
b = \(\frac{1}{0.5}\)
b = 2
Therefore, exponential function for the graph will be,
f(x) = 0.5(2)ˣ
Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.
Answers
Answer:
8, 2.
Step-by-step explanation:
2*4 is 8 so I think line them up together and 12/6 is 2
15% of 9 is what number and how to solve using proportions
Answers
Answer:
Step-by-step explanation
Okay so lets solve step by step/
15% can be written as a fraction: 15/100
The of in the equation means multiplying.
15/100= 3/20
3/20*9= 270/20
27/2 is answer
Food chains and webs typically do not have more than four levels of consumers. Why not?
A. Since only 10% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels
B. All available energy is passed from one level to the next, however there are too many carnivores to share the energy
C. Since only 50% of available energy is passed from one level to the next, there would not be enough available energy to be passed on if there were more than four levels.
Answers
Answer:
I think the answer is
(B). All available energy is passed from one level to the next, however there are too many carnivores to share the energy sorry if i am wrong
Step-by-step explanation:
At a bakery the ratio of the number of pies to the number of cakes was 8:3 what is the fraction of the number of cakes to the number of pies?
Answers
Answer:
8/3
Step-by-step explanation:
Its simple, you are just taking the ratio and instead of the : ur putting a fraction. So it would be 8/3
Daniel is using apple juice to make juice pops. He has 3 cups of juice, and each juice pop uses 1/2 of a cup of juice. How many juice pops can he make.
Answers
Answer:
6
Step-by-step explanation:
2 halves make a whole so multiply 2 by 3. the answer is six. you can also add the halves. 1/2+1/2+1/2+1/2+1/2+1/2=3.
Using substitution to solve the following system of linear equations, what is the y-coordinate for the solution? 6x + y = -32 y = x - 4 Select one:a. y = -8b. y = 8c. y = 2d. y = -4
Answers
Therefore , the answer to this problem is that y-coordinate for the solution is option a) y = -8
What does equation mean?A number, a variable, or a mix of both are used in an expression coupled with specific operation symbols. An equal sign is used to denote the division of two expressions that make up an equation.
Here,
6x + y = -32 and
y = x - 4
=> 6x +( x - 4) = -32
=>7x -4=-32
=>7x =-28
=> x = -4
Thus,
y = -4 - 4 = -8
Therefore , the y-coordinate comes out to be y = -8
Thus, the correct option in the following option is option a)y=-8.
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Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Simplify (3x − 5) + (3x + 6)
Answers
Answer:
6x+1
Step-by-step explanation:
3x+3x=6x
-5+6=1
Answer:
6x+1
Step-by-step explanation:
First remove the parentheses
the combine like terms!
6x+1
Hoped it help!
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answers
Answer:
$840.77
Step-by-step explanation:
6. Write an equation to represent the following: the product of the quantity
eight times a number x plus 4 and is equal to 17. I’ll give 60 points
Answers
8x + 4 = 17
38. Which of the following describes a median of a triangle? (1 point)
a segment drawn from a vertex to the midpoint of the opposite side
a segment drawn from the vertex perpendicular to the line containing the opposite side
a segment drawn through the midpoint of a side and at a right angle to the side.
segment drawn from the center of an angle to the side opposite.
Answers
A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.
What is a triangle?In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.
In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.
In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.
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In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP
Answers
Answer:
-150 points cause 200-350= -150
Step-by-step explanation:
Can i have brainliest i've never got one before
Ally surveyed 5 classrooms. She wanted to know the number of students in each class who love painting. The data she collected from the 5 classrooms is below.
10, 7, 9, 11, 8
The value that could be the best measure of the center of this data is?
Answers
A rectangular prism measures 3 ft by 6 ft by 5 ft. If the dimensions of the box were all quadrupled, how would the surface area of the box change?
1.The new surface area would be 16 times the original surface area.
2.The new surface area would be quadruple the original surface area.
3.The surface area would not change.
4.The new surface area would be 12 times the original surface area.
Answers
To determine how the surface area of a rectangular prism changes when all dimensions are quadrupled, we need to compare the original surface area to the new surface area.
The original surface area of the rectangular prism is given by:
SA_original = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the prism, respectively.
In this case, the dimensions of the original box are:
Length (l) = 3 ft
Width (w) = 6 ft
Height (h) = 5 ft
Substituting these values into the formula, we have:
SA_original = 2(3)(6) + 2(3)(5) + 2(6)(5)
= 36 + 30 + 60
= 126 square feet
Now, if we quadruple all the dimensions of the box, the new dimensions would be:
Length (l_new) = 4(3) = 12 ft
Width (w_new) = 4(6) = 24 ft
Height (h_new) = 4(5) = 20 ft
The new surface area of the enlarged box is given by:
SA_new = 2(l_new)(w_new) + 2(l_new)(h_new) + 2(w_new)(h_new)
= 2(12)(24) + 2(12)(20) + 2(24)(20)
= 576 + 480 + 960
= 2016 square feet
Comparing the original surface area (SA_original = 126 sq ft) to the new surface area (SA_new = 2016 sq ft), we can see that SA_new is 16 times greater than SA_original.
Therefore, the correct answer is:
1. The new surface area would be 16 times the original surface area.
For three consecutive years the tuition of an university increased by 13%, 16%, and 15%, respectively. What was the overall percentage increase of tuition during the three-year-period?
The overall increase in tuition was _%.
Answers
The 13%, 16%, and 15% annual increase in school fees of the university indicates that the overall increase in tuition was 50.742%
What is a percentage increase?A percentage increase is the amount by which an amount increases expressed as a percentage.
A percentage is a fraction that has a hundred 100 as the denominator.
The percentage increase in each of the three years are 13%, 16%, and 15%
Let x represent the initial university tuition fees (school fees), we have;
The university tuition after the first year = x + 0.13·x = x·(1 + 0.13) = 1.13·x
The university tuition after the second year = 1.13·x + 0.16×1.13·x = 1.3108·x
The university tuition after the third year is 1.3108·x + 0.15 × 1.3108·x = 1.50742·x
The increase in the university tuition is obtained by finding the difference between the initial university tuition and the tuition after the third year as follows;
The overall percentage increase is ((1.50742·x - x)/x) × 100 = 50.742%
The overall increase in tuition was 50.742%
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marks lawn care company charges a flat fee of $15, plus $9 per half hour for every job. which equation can be used to find the amount Y that marks lawn care company would charge for a lawn job that takes X hours to complete?
A. Y=15x+18
B. Y=18x+15
C. Y=15x+9
D. Y=9x+15
Answers
Answer:
y= 18x + 15
Step-by-step explanation:
If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15
Answer:
D. (Y=9x+15)
Step-by-step explanation:
This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answers
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
Someone pls help me with this questions
Answers
Answer:
1) A giraffe's heart will beat 910 times in 14 minutes
Table for 1)
Beats 65 325 910
Minutes 1 5 14
2) $8.80 for 4 bags of chips
Explanation for 2)
8.8 divided by 4 equals 2.2
4.5 divided by 2 equals 2.25
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
Answers
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
8.75 divided by 6.5
Answers
Answer:
35/26 = 1.346153846
Step-by-step explanation:
Find the equation of the line that passes through the point(2,-3)and is perpendicular to the line y=1/6x-2 . Write the equation using the slope-intercept form.
Answers
Answer:
Step-by-step explanation:
perp. -6
y + 3 = -6(x - 2)
y + 3 = -6x + 12
y = -6x + 9
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
Answers
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
