There are three ways to solve systems of linear equations in two variables:
graphing.substitution method.elimination method.System of Linear Equations :
A system of linear equations is two or more linear equations that are being solved simultaneously.
Solution of a System :
In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.
A consistent system is a system that has at least one solution.
An inconsistent system is a system that has no solution.
There are three ways to solve systems of linear equations in two variables:
graphing substitution methodelimination method
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Order these numbers from least to greatest. 8.009, 8.7, 8.09, 8.7082
Answer:
8.009 , 8.09 , 8.7 , 8.7082
Step-by-step explanation:
Convert all numbers to decimals.
8.009 = 8.009
8.7 = 8.7
8.09 = 8.09
8.7082 = 8.7082
Arrange the numbers in ascending order.
8.009 , 8.09 , 8.7 , 8.7082
If lines AB and CD are parallel, which of the following statements are true?
Check all that apply.
A. AB and CD are perpendicular
B. ABICO
O C. AB and CD intersect at a single point
D. AB || CD
E. AB and Co are skew lines
F. AB and CD are coplanar
Answer:
D
F
Step-by-step explanation:
Parallel lines are lines of equal distance apart (equidistant), that are on the same plane but they never meet
Perpendicular lines meet thus they are not parallel lines
Also, lines that intersect , meet, thus they are not parallel lines
Answer: D. AB||CD
F. AB and CD are coplaner
Step-by-step explanation:
Will make brain list
For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]
We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].
So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:
h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]
= [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]
= [tex](-2)-(\frac{16 }{-4} )[/tex]
= [tex](-2)-(-4)[/tex]
= [tex]2[/tex]
For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.
Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)
Are there proportional
Which formula should be used to calculate the amount of paper needed?
Answer:
Step-by-step explanation:
I=PRT where I =interest P=principal, R=rate, and T =time is
H2CO3 → H2O + CO2 answer
A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
Parallelograms in geometry.
Answer:
x = 16
Step-by-step explanation:
In a parallelogram , consecutive angles sum to 180° , then
3x + 5 + 9x - 17 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
take off the parentheses and then take off the number and the degrees symbol with the plus sign
take off the parentheses from the 9,-,17, and the degrees symbol
now your left with 2 x'
do x-x = what?
it it x
period
PLEASE HELP WILL GIVE BRAINLIEST!
A dart board contains 20 equal sized sectors numbered 1 to 20. A dart is randomly tossed at the board 10 times. what is the probability that the dart lands in sector 20 exactly 5 times?
Answer:
it 20 chews 5 over 20 chews 10
= 20! / (20-5)! times 5! over 20! / (20-10)! times 10!
=15504/ 184756= .08 or 8%
Step-by-step explanation:
have a good day/night
may i please have a branllliest
sorry if wrong :(
1) Find the total surface area of the following figure. Round your answer to the
nearest whole number.
.471 in2
.432 in2
.498 in2
.456 in2
Answer:
.471 in2
Step-by-step explanation:
Use the formula for total surface area of a cylinder: 2*pi*r^2(top and bottom circle) + 2*pi*r*h (the surface around)
im not sure if its too small or not
Answer:
area of ring shape =
[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]
=
[tex]36\pi - 16\pi[/tex]
=
[tex]20\pi[/tex] square inches
how do you give someone brainliest on a computer?
. Out of 40 pupils only 30 pupils submitted their project on time
What percent of the pupils submitted their project on time?
Asked:
Given:
Operation:
Number Sentence:
Solution:
Answer:
Answer:
75 %
Step-by-step explanation:
To solve for the above question,
The percentage of pupils that submitted their project on time
= Number of pupils that submitted their project on time/Number of pupils × 100
Number of pupils that submitted their project on time = 30 pupils
Number of pupils = 40 pupils
= 30/40 × 100
= 75 %
The percent of the pupils that submitted their project on time is 75%
first to answer get 100 points and brainiest. Serious by the way
Answer: What can I say execpt your welcome
Step-by-step explanation: Get nae naed
Answer:
Ok then but seriously this is meant as a school homework site it isnt just for friends or things you want you may get banned for things such as this
Step-by-step explanation:
Please I need this will mark brainliest
im editing it i pressed send by accident
Answer:
8) x - intercept: (-7, 0)
y - intercept: (0, -7)
9) x- intercept: (4,0)
y- intercepts: ( 0, 8)
10) x- intercepts: (9,0)
y- intercepts: (0,3)
Step-by-step explanation:
Building a has 7,500 ft of an office space for 320 employees building b has 9,500 square feet of office space for 370 employees which building has more square feet of space per employee explain
Answer:
I believe the correct answer is Building B
Step-by-step explanation:
Building A is 23.45 per employee and Building B is 25.67 per employee
HELP ASAP!!!!
thank you so much if you helped!!
Answer:
H. 22 hours
Step-by-step explanation:
He earns $8 per hour.
176 ÷ 8
22
yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Answer:
3/4
Step-by-step explanation:
Tangent is opposite/adjacent side. To get the adjacent side, use the Pythagorean Theorem:
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 16
√b² = √16
b = 4
tan(O) = opposite/adjacent side
tan(O) = 3/4
Help I’ll give Brainly est
Answer:i think a
Step-by-step explanation:
Nicole and lan generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1. lan uses the rule add 1/2 then multiply by 2 starting from 0. Complete the table to show the numbers in each pattern. Then create the ordered pairs.
Nicole's pattern:
5
17
53
161
485
Ian's Pattern:
1
3
5
10
20
Coordinate Pairs:
5,1
17,3
161,10
485,20
HOPE IT HELPS
The coordinate pairs of Nicole and Ian's sequence pattern are; (5, 1), (17, 3), (53, 5), (161, 10), (485, 20)
How to write Coordinate Pairs?We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.
Thus, nicoles numbers sequence pattern is;
5, 17, 53, 161, 485
Then Ian's Pattern is add 1/2 then multiply by 2 starting with 0. Thus, his numbers are;
1, 3, 5, 10, 20
Finally, the Coordinate Pairs are;
(5, 1), (17, 3), (53, 5), (161, 10), (485, 20)
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Help please not sure what it can be!
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
Answer:
367.6 m³
Step-by-step explanation:
h=13 r=3 identify variables
V= πr² h use volume of a cylinder formula
V=π(3)²(13) substitute variables into formula
V= 367.56634047 multiply
V=367.6 m³ round to the nearest tenths place
The volume of the rectangular prism is ________ cm3
Answer:
volume of rectangular prism =l×w×h
volume of rectangular prism =4cm×2cm×7cm
volume of rectangular prism =56cm³
Answer:
The volume of the rectangular prism is [tex]56cm^3[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].
Question 7
Which expression is equivalent to the expression shown?
10 x 40
45
104 x 4
15
9
9
40
104 x 45
Answer:
10^4x 4^5 hope that helps you out
Evaluate the function.
f(x)=-x^2-14
Find f(9)
can somebody please please help me :/
I NEED HELP ON THIS ASAP!!!!!
Answer:
1. 3.48 i think but 2. is 115
Step-by-step explanation:
Please help. I need the help.
Answer: Annalise says that Philip will earn $320 more at First Bank than at GrandBank.
Step-by-step explanation:
Formula for Simple interest = Principal × Rate × Time
At GrandBank, the simple Interest will be:
= $2000 × 6% × 8
= $2000 × 0.06 × 8
= $960
At First Bank, the Simple interest will be:
= $2000 × 8% × 8
= $2000 × 0.08 × 8
= $1280
Based on the above, Philip will earn ($1280 - $960) = $320 more at First Bank.
i need help with these questions
Answer:
1.) 2.5cm
2.) 1 3/4
3.) 1.6
4.) 4/5
5.) 18.84
Step-by-step explanation:
So the radius is half of the diameter, so the first one would be:
5 ÷ 2 = 2.5
We do the same thing for the next one:
3 1/2 ÷ 2 = 1 3/4
Now we have to go backwards because we have the radius and we're trying to find the diameter:
0.8 x 2 = 1.6
And the next one:
3/5 x 2 = 4/5
Now to find the circumference, we multiply the diameter by pi (3.14)
6 x 3.14 = 18.84
let me know if any of these are wrong
hope this helps:)
Can someone please help me ASAP!!
the surface is around 65