Answer:
see explanation
Step-by-step explanation:
to find the y- intercept, the point where the line crosses the y- axis.
Any point on the y- axis has an x- coordinate of zero.
let x = 0 in the equation and solve for y
- 4(0) + 7 = 2y - 3
0 + 7 = 2y - 3
7 = 2y - 3 ( add 3 to both sides )
10 = 2y ( divide both sides by 2 )
5 = y
then y- intercept = (0, 5 )
to find the x- intercept, the point where the line crosses the x- axis.
Any point on the x- axis has a y- coordinate of zero.
let y = 0 in the equation and solve for x
- 4x + 7 = 2(0) - 3
- 4x + 7 = 0 - 3
- 4x + 7 = - 3 ( subtract 7 from both sides )
- 4x = - 10 ( divide both sides by - 4 )
x = [tex]\frac{-10}{-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex]
then x- intercept = ( [tex]\frac{5}{2}[/tex], 0 ) or (2.5, 0 )
The equation 3x62x10x4 is true for all real numbers. The equation 6x22x4x1 has no solution. When do you think an equation has all real numbers as its solutions?
When an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
3x +6 = 2x +10 +x -4
Subtract (3x+6) from both sides:
(3x +6) -(3x +6) = (2x +10 +x -4) -(3x +6)
0 = x(2 +1 -3) +(10 -4 -6)
0 = 0
0 = 0 . . . . has "all real numbers" as a solution set
6x +2 -2x = 4x +1
Subtract (4x+1) from both sides:
(6x +2 -2x) -(4x +1) = (4x +1) -(4x +1)
x(6 -2 -4) +(2 -1) = 0
0x +1 = 0
1 = 0
Does not have "all real numbers" as a solution set. There is no solution
Hence, when an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.
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which equation represents the line that psses through (2,3) and (-2,5)
The equation of line that passes through (2,3) and (-2,5) is y = (-1/2)x + 4.
What is the equation of line that passes through the given points?The point-slope form is expressed as;
( y - y₁ ) = m( x - x₁ )
Where m is slope, x₁ and y₁ are the coordinates of the point .
Given the data in the question;
Point 1 (2,3)
x₁ = 2y₁ = 3Point 2 (-2,5)
x₂ = -2y₂ = 5First, determine the slope.
Slope m = (y₂ - y₁)/(x₂ - x₁)
Slope m = ( 5 - 3 ) / ( -2 - 2)
Slope m = 2 / -4
Slope m = -1/2
Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/2)( x - 2 )
y - 3 = (-1/2)x - (-1/2)2
y - 3 = (-1/2)x + 1
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4
Therefore, the equation of the line is y = (-1/2)x + 4.
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Which answers describe the shape below? Check all that apply.
0
A. Rectangle
B. Rhombus
C. Parallelogram
D. Trapezoid
E. Quadrilateral
F. Square
Answer:
Step-by-step explanation:
it do be a quadrilateral parallelogram and rhombus cause it do
Answer:
Step-by-step explanation:
Which fraction is equivalent to fraction with numerator negative 3 and denominator 2
The equivalent fraction of -3/2 is the fraction -6/4
How to determine the equivalent fractionFrom the question, we have the following parameters that can be used in our computation:
numerator negative 3 and denominator 2
Express the fraction properly
So, we have
-3/2
Multiply the numerator and the denominator by a constant (say 2)
So, we have
-6/4
This implies that -6/4 is equivalent to 3/2
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Use the image below to find y
Answer:
y = 7
Step-by-step explanation:
since the 2 triangles are congruent then corresponding angles are congruent , so
∠ R = ∠ F , that is
13y - 1 = 90 ( add 1 to both sides )
13y = 91 ( divide both sides by 13 )
y = 7
What is the value of x
Answer: 104
Step-by-step explanation:
Angles at a line are equal to 180 degrees so:
180 = 72 + (x + 4)
180 = x + 76
180 -76 = x + 76 -76
104 = x
Which graph represent the function?
Answer:
c
Step-by-step explanation:
8. At sunrise in Townville, Roger
records the air temperature for a
school project, every hour. The
graph shows the change in
temperature over time. Write a
linear function in the form y = mx +
b to represent the situation.
Temperatures
Temperature (°F)
20
16
12
8
O
4 8 12 16 20
Time (h)
On solving the provided question, we can say that the linear function that can be formed y = mx + b, y = temperature, x = time
What is linear function ?Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.
here,
the linear function that can be formed
y = mx + b
y = temperature
x = time
a and b = variables
for first data = 20 = 4m+b
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A business purchased a new printer.• The number of pages, y, printed by the new printer in x minutes is represented by the equation y = 37x.• The numbers of pages printed by the old printer is represented by the graph. *
Step-by-step explanation:
pls ans my question interested girl come 15++ come fast
confusion of the inverse occurs when we incorrectly believe _______.
The concept given is a Probability, It is a branch of mathematics that deals with the occurrence of a random event. The answer is P(A|B)=P(B|A).
Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
Inverse probability is the probability of unobserved effects; or, more technically, the probability distribution of an unobserved variable. It's generally considered an obsolete term.
In probability proposition and statistics, an inverse distribution is the distribution of the complementary of an arbitrary variable. Inverse distributions arise in particular in the Bayesian environment of previous distributions and posterior distributions for scale parameters.
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x+2=8-x what is the answer to this
Answer:
[tex]x + 2 = 8 - x \\ \\ \dashrightarrow \: x + x = 8 - 2 \\ \\ \dashrightarrow \: 2x = 6 \\ \\ \dashrightarrow \: x = 3[/tex]
hope helpful ;-;
Answer:
x = 3
Step-by-step explanation:
x+2=8-x what is the answer to this?
x + 2 = 8 - x
move the x to the left and the 2 on the right and change the signx + x = 8 - 2
solve on both sides2x = 6
divide the two parts by 2x = 3
----------------------------
check
3 + 2 = 8 - 3
5 = 5
the answer is goodWhich of the following tables may represent a linear function?
The table that represents a linear equation is the first one, and the line can be:
y = -4x - 1
Which of the following tables can represent a linear function?A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, notice that if we evaluate the line in x + 1, we will get:
y = a*(x + 1) + b
y = a*x + a + b
So, for an increase of one unit on the variable x, we have a constant increase in the y value.
Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.
So that is the table that can represent a linear function.
And the line is:
y = -4x - 1
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At a run festival, 5/7 of the runners are women. If there are 1050 runners, how many are women?
Answer: 750
Step-by-step explanation:
5/7 = women
2/7 = men (to get 2/7, 7/7 - 5/7 and you get 2/7)
5/7 x 1050
= 5 x 1050/7
= 5250/7
=750
The / means divide
9. (-12,-62) and (-22, -62) help
Help please I am really struggling with my geometry
Answer:
A) [tex]108^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=180^{\circ} \\ \\ 72^{\circ}+m\angle 2=180^{\circ} \\ \\ m\angle 2=108^{\circ}[/tex]
BD=16 and AC is the
perpendicular bisector of BD.
2x-14
B
21-2
37-x
y+3
BC=[?]
Enter
Answer:
BC = 8
Step-by-step explanation:
If AC is the perpendicular bisector of BD then
BC = CD = BD/2
BD/2 = 8
So BC = 8
Answer:
the answer is
Step-by-step explanation:
find all three-digit numbers that meet these criteria: all digits are distinct, one digit is odd, and the sum of the digits is five.
Answer:
203, 230, 320, 302, 140, 410, 104, 401
Step-by-step explanation:
To meet the criteria, we have to think of all the ways we can use three distinct numbers, with one of the numbers being odd, which adds up to 5:
1 + 4 + 0 = 5
2 + 3 + 0 = 5
Subsequently, use the numbers we found and rearrange them to form three-digit numbers.
A person with a systolic blood pressure greater than 120 mmHg and less than or equal
to 139 mmHg is said to have prehypertension. Which inequality represents the range of
systolic blood pressure for a person with prehypertension?
a. 120 < x < 139
b. 120 < x≤ 139
C. 120 ≤x < 139
d. 120 ≤x≤ 139
For what value of x is the rational expression below equal to zero?
2-x+x/2+x
Options:
A. 2
B. 0
C. -1
D. -2
The value of x for which the rational expression equals to zero is -4
What is System of Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.
The equation is
2 - x +x/2 + x = 0
⇒ x/2 = -2
⇒ x = -4
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If one For loop is nested within another, then the counter variables for the two loops should be different.
True or False
You can use the same name (identifier). It may be a different object. They both loop will not affect each other.
Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).
This is Normally bad style, is prone to confusion, and should be avoided.
The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.
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2. Every day you collect 4 pennies and keep them in a jar. So the first day you have 4 pennies, the (I point)
second day you have 8 pennies, the third of you have 12 pennies, etc. How many do you
have on the 15th day?
075
0 19
015
060
A room measures 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor?
A) 25
B) 50
C) 144 1/4
D) 156 1/4
I have the right answer, show work please
Answer:
156 1/4
Step-by-step explanation:
Assume the room is a square.
side = 12 1/2 ft
area = (side)²
area = (12 1/2 ft)²
area = (12 1/2 ft) × (12 1/2 ft)
area = (144 + 6 + 6 + 1/4) ft²
area = 156 1/4 ft²
(8-2)x(3+2)-1}x3 anwer in need
Answer:
(6)×(5)-1)3
6×5-3
30-3
=27
a. Is the relation shown below a function? Explain.
Relation: (4,16) (5,25) (3,9) (6,36) (2,4) (1,1)
b. What are the domain and range of the relation?
Answer:
A) The relation is a function. Every input (x) and only one output (y)
B) Domains are the x values: 1,2,3,4,5,6
The Ranges are the y values: 1,4,9,16,25,36
Step-by-step explanation:
what’s the range of points on the graph pls help
a- {-2,3,5,6}
b-{2,0,3,4
c{-2,1,0,1,2,3,4,5,6}
d-{3,5,6,-2}
So on solving the provided question, we can say that from the graph the range can be - {-2,3,5,6} and {2,0,3,4}
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
from the graph-
the range can be
- {-2,3,5,6} and {2,0,3,4}
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1. Solve for BC using Law of Cosines. Round to the nearest tenth when necessary.
Using cosine law in the triangle given, the length of BC is 32 units
What is Law of CosineThe law of cosines (also known as the cosine formula) is an equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that:
a² = b² + c² - 2(b)(c) Cos(A)
In the given problem, the data;
AB = 29AC = 23BC = ?angle A = 75°Substituting the values into the formula and solve for BC;
BC² = 29² + 23² - 2(29)(23) Cos 75
BC² = 1024.735393
BC = √1024.735393
BC = 32.01
BC ≈ 32
The length of side BC in the triangle is 32 units
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in spherical geometry, stat an inequality involving the sum of the angles, using x, y, and z as the measures of the angles. what is the inequality?
find a formula for the area of a triangle in spherical geometry, using x, y, and z as the measures of the angles and r as the radius of the sphere. what is the area of ️ XYZ?
The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.
What is the sum of angles in spherical geometry?The sum of angles of a triangle formed in a spherical geometry exists equivalent to 180∘.
A category of non-Euclidean geometry, spherical geometry is a subset of elliptical geometry. Any type of geometry that is not founded on conventional planes is known as non-Euclidean geometry. Lines in non-Euclidean geometry are not always the usual straight lines found in Euclidean geometry (i.e., plane geometry).
We require opposing sides and angles in order to use the sine rule. We can utilise this knowledge to locate the side that is opposite the other angle if we know two angles and one of the sides opposite. Accuracy points may be lost because of this.
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Find the value of 7u +6 given that 3u-8=4.
simplify your answer as much as possible.
Answer:
34.
Step-by-step explanation:
The value of 7u + 6
=3u - 8 = 4
=3u = 4 + 8
=3u = 12
=3u/3 = 12/3
u = 4.
therefore u = 4
=7u + 6
=7(4) + 6
=28 + 6
=34.
Count the number of different functions with the given domain, target and additional properties
(a) f(0,1}{0,1).
(b) f: (0,1}{0,1). The function f is one-to-one
(c) f. (0,1)5(0,1)
(d) f (0,135 (0,1). The function f is one-to-one
The number of different functions with the given domain, target and additional properties is as follows:
(a) There are infinitely many different functions, as there is no additional property given that could have the domain (0,1) and the target {0,1}.
(b) The only one-to-one function with the domain (0,1) and the target {0,1} is the identity function, f(x) = x. The additional property is that the function is one-to-one.
(c) The function f has a target of and a domain of (0,1) and (0,1). There are an infinite number of possible functions that could have this domain and target because no additional property is provided.
(d) There are infinitely many different one-to-one functions that could have the domain (0,1) and the target (0,1).
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What is the answer to this