Step-by-step explanation:
To find the rate, divide the number of heartbeats by the number of seconds.
You: 22 beats / 20 seconds = 1.1 beats per second.
Friend: 18 beats / 15 seconds = 1.2 beats per second.
What is the smallest possible real value of x^2+8x?
========================================================
Explanation:
Let's complete the square
y = x^2 + 8x
y + 16 = x^2 + 8x + 16 .... adding 16 to both sides
y + 16 = (x+4)^2
y = 1(x+4)^2 - 16
We added 16 to both sides to allow the right hand side to factor into a perfect square.
The last line shown above is in the form y = a(x - h)^2 + k where
a = 1
h = -4
k = -16
Note the positive 'a' value indicates we have a minimum.
The vertex is (h,k) = (-4, -16)
The lowest y value possible is at the vertex.
So the smallest y value is y = -16.
This means the smallest possible value of x^2+8x is -16.
Please help it would help alot
48494vcxbdfx sbs≥lol
Answer:
:D
Step-by-step explanation:
have a nice day and I really hope this isn't a genuine question
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
please help 8x -4 - 6x + 9
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2x + 5}}}}[/tex]
☃️Question : Simplify[tex] \text{8x - 4 - 6x + 9}[/tex]
✎ Step by step explanation :First, combine like terms :
Like terms are those which have the same base.
[tex] \longrightarrow{ \sf{8x - 6x - 4 + 9}}[/tex]
[tex] \longrightarrow{ \sf{2x - 4 + 9}}[/tex]
Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \longrightarrow{ \boxed{ \sf{2x + 5}}}[/tex]
And we're done!
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
5 yds=? Ft (PLEASE HELPP!!!)
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
Which of the following terms best describes three points that all lie in a
straight line?
A. Collinear
B. Congruent
C. Midpoint
D.equal
Answer:
A.
Explanation:
Collinear
The required term is "collinear" which best describes three points that all lie in a straight line. which is the correct answer would be an option (A).
What are the collinear points?Collinear points are locations along a straight line that are represented by a collinear. They are always collinear since a straight line may be traced continuously between any two places. A collinear connection can exist between three or more points, but it is not required. The word required is "collinear," which best depicts three locations that are all in a straight line.
Therefore, the required term is "collinear" which best describes three points that all lie in a straight line.
Hence, the correct answer would be option (A).
Learn more about the collinear points here:
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What is "a" if B=
is a singular matrix
| 2
2 a
Answer:
The value of a=4
Step-by-step explanation:
Given the matrix
[tex]B=\begin{pmatrix}1\:&\:2\:\\ \:\:\:2\:&\:a\end{pmatrix}[/tex]
A matrix is singular if its determinent is zero.
so solving the matrix B by taking its determinant to get the value a
[tex]\det \begin{pmatrix}1&2\\ 2&a\end{pmatrix}=0[/tex]
as according to determinant formula
[tex]\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]
[tex]1\cdot \:a-2\cdot \:2=0[/tex]
[tex]a-4=0[/tex]
[tex]a=4[/tex]
Therefore, the value of a=4
can y’all also explain the steps
Answer:
B. is your answer
Step-by-step explanation:
First you multiply both sides by "x" and you get
12x - 4 = 3x
now add 4 to both sides and you get
12x = 3x + 4
now subtract "3x" from both sides and you get
9x = 4
divide both sides by 9 and you get
x = 4/9
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
WILL MARK BRAINLIST!
PLEASE HELP!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Please check the explanation.
Step-by-step explanation:
Considering the expression
[tex]9i+2\left(7+3i\right)[/tex]
Applying the distributive law[tex]a\left(b+c\right)=ab+ac[/tex]
so the expression becomes
[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]
Group like terms
[tex]=9i+14+6i[/tex]
Add similar elements: 9i+6i=15i
[tex]=15i+14[/tex]
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
What is 8.15 rounded to the nearest whole number
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
Negative
Step-by-step explanation:
the slope in this equation is negetive as it is pointing in a downwards position.
Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion
Answer:
b
Step-by-step explanation:
aye
A 18,000 gallon swimming pool contains 7000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1100 gallons per hour
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Volume of Water in Pool
Answer:
if you put a point at 5,000 and then another at (20,000, 12)
Step-by-step explanation:
i did the other answer and it was wrong
The graph representing the volume of water in the pool over time is illustrated in the graph.
How to illustrate the graph?The problem can be presented by a simple linear equation:
y =mx + b
where
x is the time (hour)
y is the amount of water in x hours
m is the rate of water being added
b is the initial amount of water
y = 1100x + 7000
Learn more about graphs on:
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(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answer:
2 7/20
Step-by-step explanation:
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the following is the value of f (3)?
Answer:
The value of f(3)=12.4
Step-by-step explanation:
Average rate of change = 3.4
Interval: -2 < x < 3
f(-2) = 9
We need to find f(3)
The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
here we have a=-2 and b=3
Now finding f(3)
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]
So, The value of f(3)=12.4
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
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Answer: D.)
Step-by-step explanation: I got it right on the test!!
Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?
Answer:
$18.00
Step-by-step explanation:
8 x 1.25 = 10
8 + 10 = 18
2. Soive: (14x - 8) - 2(3x - 6)
a. 8x + 4
b. 20x + 4
19x + 14
d. 8x - 20
Answer:
A
Step-by-step explanation:
Distribute the -2 into (3x-6)
combine like terms!!
8x+4
Answer:
A.) 8x + 4
Step-by-step explanation:
Marco paid $42.40 for 6.4 Gallons of gas. What is the price of 1 gallon of gas? Group of answer choices
Answer:
6.63
Step-by-step explanation:
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? One liter equals 1,000 millilters. Simplify your answer.
Answer:
[tex]Ratio = 0.74[/tex]
Step-by-step explanation:
Represent
- Andy with A
- Christopher with C
[tex]A = 3.5L[/tex]
[tex]C = 2580mL[/tex]
Required
Determine the ratio of C to A
Ratio is represented as thus:
[tex]Ratio = C:A[/tex]
Rewrite as fraction
[tex]Ratio = \frac{C}{A}[/tex]
This gives
[tex]Ratio = \frac{2580mL}{3.5L}[/tex]
Convert L to mL
[tex]Ratio = \frac{2580mL}{3.5*1000mL}[/tex]
[tex]Ratio = \frac{2580mL}{3500mL}[/tex]
[tex]Ratio = \frac{2580}{3500}[/tex]
[tex]Ratio = 0.73714285714[/tex]
[tex]Ratio = 0.74[/tex] --- Approximated
Regional erosion occurs at a rate of 2 m per 1,000 years.
How much regional erosion will occur over 1,000,000 years?
A) 20 m
B) 200 m
C) 2,000 m
D) 100,000 m
Answer:
200
Step-by-step explanation:
It's 200 because you would take the 1,000 and multiply it by the power of 3, which is 100,000. So therefore you would do the same thing with the 2, which 2 to the power of 3 is 200. There is your explanation.
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
15/19
Step-by-step explanation:
60/4 = 15
76/4 = 19
15/19
Answer:
76/60 i think
Step-by-step explanation:
Use the diagram to solve. What is 135% of 280?
Percent
Total
100%
5%
5%
5%
5%
5%
5%
5%
135%
315
378
525
560
Answer:
b
Step-by-step explanation:
hope it helps :D