How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?
Both lines pass through the point represented by the ordered pair.
You cannot tell whether an ordered pair is a solution of a system of linear equations by examining the graphs of the equations.
Just one of the lines passes through the point represented by the ordered pair.
Neither line passes through the point represented by the ordered pair.
Answer:
A.) Both lines pass through the point represented by the ordered pair
Step-by-step explanation:
Both lines pass through the point represented by the ordered pair.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
An ordered pair is a solution of a system of linear equations by examining the graphs of the equations.
We know that;
An ordered pair is a solution of a system of linear equations when both the lines are passing through the same ordered pair.
Hence, We get the correct sentence is,
''Both lines pass through the point represented by the ordered pair.''
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an one hour mathematcis class ks divided up into the schedule shown jn the table below how many mintyee of class are allowed for independent pratice?
Answer:
i got 15
Step-by-step explanation:
I'm having trouble with this, Unfortunately my teacher has a tight schedule tomorrow so I can't ask her, so I decided to come here, can someone clear it up. I'm not looking for the answer just help on it.
Use the function f(x) to answer the questions:
f(x) = 2x2 − 5x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
Step-by-step explanation:
Part A)
For equation f(x) = 2x² - 5x + 3, to find x intercepts let y=0 then solve x,
2x² - 5x + 3 = 0 -> (2x + 1)(x -3) = 0 , can find x - intercepts from here
x = ____ and ____
Part B)
To find if vertex is a max or min, compare to equation y = ax² + bx +c
if a > 0 then parabola opens up and vertex is a minimum.
if a < 0 then parabola opens down and vertex is a maximum,
thus vertex is a minimum in this problem
to solve vertex set x = -b / 2a = 5 / 2(2) = 5/4
solve for y value
.... vertex is then at point ( 5/4 , y value found)
Part C)
Can plot the intercepts and vertex points
What type of number is -296.2i
it is a negetive integer
HOPE THIS HELPS
PLEASE MARK ME AS BRAINLIEST.
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (fºg)(10)?
Answer:
2x - 3..... 2*10 - 3 = 17
Step-by-step explanation:
Fog) = g(fx)) = f(x) - 4 => 2x - 3
Answer:
37
Step-by-step explanation:
Substitute x = 10 into g(x), then substitute the result into f(x)
g(10) = 10 - 4 = 6 then
f(6) = 6^2 + 1 = 36 + 1 = 37
please answer the question below
Answer: 220
Step-by-step explanation:
Will already has 148 he bought 8 packages that contains 9 in each so 8 x 9 = 72 then add 148 to 72 and you will have your total which is 220.
Find the length of side x in simplest radical form with a rational denominator
Answer:
rggsktvvg gggggggggggg yyyhhhhg
Which fraction is equivalent to the decimal 0.68 with the line on top?HELP FAST
A. 31/45
B. 682/999
C. 62/99
D. 2/3
Answer:
A 31/45
Step-by-step explanation:
A 31/45=0.6888 (this is the awnser as the line on top means repeating)
B 682/999=0.682 (0.68 rounded)
C 62/99=0.62626 (repeating)
D 2/3=0.66666 (Or 0.67 rounded)
What is the surface area of the rectangular prism below?
A. 1260 units2
B. 700 units
C. 823 units2
D. 740 units2
Answer:
700
Step-by-step explanation:
A=2(wl+hl+hw)=2·(12·14+7·14+7·12)=700
The value of the surface area of the rectangular prism is,
SA = 700 units²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In a rectangular prism,
Length (l) = 14
Width (w) = 12
Height (h) = 7
We know that;
The surface area of a rectangular prism is given by:
SA = 2 (lh +wh + lw ) Square units.
Hence, We get;
SA = 2 (14 x 7 + 12 x 7 + 14 x 12
SA = 2 (98 + 84 + 168)
SA = 2 x 350
SA = 700 units²
Thus, The value of the surface area of the rectangular prism is,
SA = 700 units²
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PLEASE HELP ASAP!!!!!!!!! I REALLY NEED IT PLEASE
Answer:
[tex]\displaystyle d = 2\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point R(-2, -4)
Point S(-8, -6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points[DF]: [tex]\displaystyle d = \sqrt{(-8+2)^2+(-6+4)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(-6)^2+(-2)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+4}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{10}[/tex]1 3/8 minus 1/2 thanks
Answer:
0.833
Step-by-step explanation:
Complete each congruence statement by naming the corresponding angle or side (odd questions only)
Answer:
Step-by-step explanation:
Corresponding parts of the congruent triangles are congruent [CPCTC]
By using this property of congruent triangles,
15). ΔABC ≅ ΔABR
BC ≅ BR [By CPCTC]
16). ΔJIH ≅ ΔJIW
∠HJI ≅ ∠WJI [By CPCTC]
17). ΔBDC ≅ ΔBDJ
∠CBD ≅ ∠JBD [By CPCTC]
How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.
Answer:
First, let's do some general definitions:
We start with:
f(x) = 3.5*x^3
A general equation of this form is:
g(x) = a*x^3
if:
IaI > 3.5 the function will be steeper.
IaI < 3.5 the function will be less steep.
a < 0, means that we have a reflection over the x-axis.
Then:
p(x) = 4.5*x^3
bassed on what we wrote above, this function is steeper than f(x)
q(x) = -x^3
This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.
r(x) = 3*x^3
In this case 3 < 3.5, this means that this will be lees steep than f(x)
Engineers are playing a new bridge to cross a small river. Surveyors created the diagram to show where the bridge across the river.
What is the distance across the river where the new bridge will be built?
A. 36 feet
B. 56.25 feet
C. 100 feet
D. 101.25 feet
Answer:
I believe it was B.
Step-by-step explanation:
Find the missing side lengths. WILL GIVE BRAINLIEST
Ricki took a survey in the fifth grade and found that 2/3 of the students ride the bus to school, and 1/4 of the students walk. What fraction of the fifth-grade students either ride the bus or walk to school?
Answer:
11/12 of the 5th grade ride the bus or walk to school.
Step-by-step explanation:
First you have to find a LCD (least common denominator) for both fractions which is 12.
Second you have to multiply the numerator by whatever you multiplied the denominator by for both fractions
Finally you add both fractions together and you get 11/12
How do you solve 20-10/5+2•2
Answer: 22
Step-by-step explanation:
20 - 10/2 + 2 . 2
10/5 = 2
20 - 2 + 2 . 2
= 20 - 2 + 4 = 22
hope this helps
Answer:????? Math (O-O)
Answer: the first one is 30. The second is .294. The third is 2/3.
Step-by-step explanation:
Write the ratio of 3/5 miles to 1/2 miles as a fraction in simplest form
Answer:
Three over Ten
Below is a scale drawing of a deck for a house What are the length and width, in yards, of the deck represented by the scale drawing?
What is the area, in square yards, of the deck represented by the scale drawing?
Please help me hurry
Answer:
The length of the house is 32 yards and the width is 16 yards and the area of the deck is 512 yards. I got my answer by multiplying the length and the width to get an answer of 512.
Step-by-step explanation:
You have to multiply 16 centimeters by 2 and multiply 8*2. Which is 32 and 16 and after you do that you multiply them 32*16=512
any help
please
thanks
Answer:
n=54
Step-by-step explanation:
Since this is a proportion problem, you have cross mulitply.
7n=9x42
7n=378
n=54
Answer:
cross multiply
9×42=378
7×n=7n
n=378/7
n=54
How do percents show the relationship between quantities?
9514 1404 393
Explanation:
A percentage is a representation of a fraction. Just as any fraction relates a quantity to a whole, so does a percentage.
Example:
3/5 represents 3 parts out of 5.
Its equivalent as a percentage is ...
3/5 · 100% = 60%
which also represents 3 parts out of 5, or 6 parts out of 10, or 60 parts out of 100.
__
Note that the percent symbol (%) can be considered to be a shorthand way to write /100. Similarly, the "mils" symbol (‰) can be considered a shorthand way to write /1000. That is, 60% is fully equivalent to 60/100, and vice versa.
On what interval(s) of x does f have positive concavity?
On what interval(s) of x does f have negative concavity?
Answer:
Step-by-step explanation:
Concavity of a quadratic function is determined the leading coefficient.
If the leading coefficient is positive, graph will entirely concave upwards.
If the leading coefficient is negative, graph will concave downwards entirely.
So in the interval (-∞, ∞) function has the positive concavity.
There is no interval in which the given function has the negative concavity.
John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?
Answer:
no because these "imaginary numbers" can have the same value as 2 real numbers that add up to a real number. Example:7 3+4=7 x+y (Algebra so not real numbers)= infinite possibilities
Step-by-step explanation:
Someone pls help
There fraction!!
3/4+2/3=
Help please
Answer:
5/7 your answer is.....
Answer:
17/12. or 1 5/12
Step-by-step explanation:
caculator.
7 1/2 / (4 1/2 - 5 1/8) =
Answer:
-4 11/16
Step-by-step explanation:
Pls help with math ASAP pls
i do not think the order matters, so the answer should be the first two.
Multiplying polynomials: simplify
(4a+2)(6a^2-a+2)
Answer:
24a³ - 16a² + 6a + 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsExpanding by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(4a + 2)(6a² - a + 2)
Step 2: Expand
Expand: 24a³ - 4a² + 8a - 12a² - 2a + 4Combine like terms (a²): 24a³ - 16a² + 8a - 2a + 4Combine like terms (a): 24a³ - 16a² + 6a + 4Pls pls help it is due todayyy:)))
Answer:
a dilation is different from a translation because it enlarges an image or shrink them instead of moving them. it's also different from rotation since it doesn't rotate but enlarge or shrink. it's way far from reflection because it enlarges or shrinks.
Answer: A diliation is a non rigid transformation, whereas reflections, transitions and rotations are rigid transformations. This means that dilations do not preserve the size of the shape.
Find the percent change from the first value to the second. 32; 56
Answer:
75%
Step-by-step explanation:
Percentage change = (change) ÷ (first value) × 100
Change = second value - first value = 56 - 32 = 24
∴ Percentage change = [tex]\frac{24}{32} * 100 =[/tex] 75%