Answer:
c. y>x
Step-by-step explanation:
When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.
Here is what I mean by this:
Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.
x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.
Now that we have an expression which is equal to x.
We can directly replace that with the 3x in the other equation by multypling this by 3:
x = 7 - 2y → 3(x) - 1/2y = 1
3(7 - 2y) - 1/2y = 1
Now that we only have y's, we can simply the equation, and solve for y.
21 - 6y - 1/2y = 1
21 -13/2y = 1
(get rid of the constant on the left side by subtracting)
-21 -21
-13/2y = -20
(remove the denominator by Multiplying)
×2 ×2
-13y = -40
÷13 ÷13
(cancel out the coefficient by dividing)
-y = -40/13
(take the opposite of the other side to make y positive)
×-1 ×-1
y = 40/13.
Now that we have y just solve for x since we already have a term of x in the other equation:
y = 40/13 → x + 2y = 7
x + 2(40/13) = 7
x + 80/13 = 7
Then subtract both constants to find x:
x + 80/13 - 80/13 = 7 - 80/13
x = 7 - 80/13
(create like denominators, but Multipy
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
1/2n-7
(0×3)+4
(p×5)-2
7+r
s+7
10-t
u-10
2×v
w×2
x÷5
5÷y
Step-by-step explanation:
━━━━━━━☆☆━━━━━━━
▹ Answer
14) 1/2n - 7
15) 3o + 4
16) 5p - 2
17) 7 + r
18) s + 7
19) t - 10
20) 10 - u
21) 2v
22) 2w
23) x ÷ 5
24) 5 ÷ y
Hope this helps!
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Brainliest is greatly appreciated!
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Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
plz help
urgent !!!!
will give the brainliest !!
Answer:
[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]
Step-by-step explanation:
The question we have at hand is, in other words,
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]
If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]
Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,
[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,
[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]
At this point we have to multiply the rows of the first matrix by the rows of the second matrix,
[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,
[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...
[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.
The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make?
Answer: 36 three-point field goals
Step-by-step explanation:
To solve this problem, set up a system of equations. Let's call the number of one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex] and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.
The number of two-point and three-point field goals they made is 27 and 36, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of two points basket be represented by x and the number of three points basket be represented by y.
Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,
22 + x + y = 85
Solving the equation for x,
x = 85 - 22 - y
x = 63 - y
Further given that the total point made is 184. Therefore, the total number of score can be written as,
22 + 2x + 3y = 184
22 + 2(63 - y) + 3y = 184
22 + 126 - 2y + 3y = 184
y = 36
Substitute the value of y in the first equation,
22 + x + y = 85
x = 85 - 22 - 36
x = 27
Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.
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a+2=6 explain pkleaseeeeeeeeeeeeeeee
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▹ Answer
a = 4
▹ Step-by-Step Explanation
a + 2 = 6
Subtract 2 from both sides
2 - 2 = crossed out
6 - 2 = 4
Final Answer
a = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
a=4
Step-by-step explanation:
If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.
In triangle ABC , m angle A=(3x)^ , m angle B=(3x+10)^ , and m angle C=(4x-30)^ Find m m angle C
Answer:
B
Step-by-step explanation:
Interior angles of a triangle = 180°
3x°+3x+10°+4x-30°=180°
10x°-20°=180°
10x°=180°+20°
10x°= 200°
10x°/10=200°/10
x°=20°
Hence, the angle is [tex]x=20[/tex] degree.
What is the angle?
An angle can be defined as the figure formed by two rays meeting at a common end point.
Here given that,
As we know that the sum of interior angles of a triangle is [tex]180[/tex] degree.
[tex]3x+3x+10+4x-30=180\\\\10x-20=180\\\\10x=180+20\\\\10x= 200\\\\\frac{10x}{10}=\frac{200}{10}\\\\x=20[/tex]
Hence, the angle is [tex]x=20[/tex] degree.
To know more about the angle
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7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition
Answer:
I think A is the MOST supported of all of the options. The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.
A) The author respects and admires qualities in the queen.
Step-by-step explanation:
HOPE THIS HELPED!! :)
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
16 2/3 percent of what number is 72
Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFraction 7 Over 8 EndFraction foot Negative one-fourth foot –1 foot –2 feet Negative StartFraction 5 Over 8 EndFraction foot. If You Help ME and GET it CORRECT u will give u brainiest
Answer:
[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot
Step-by-step explanation:
We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot
We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?
i) [tex]-\frac{7}{8}[/tex]
So, this location is not higher than [tex]\frac{-3}{4}[/tex]foot
ii)[tex]-\frac{1}{4}[/tex]
So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]
So, this location is higher than[tex]\frac{-3}{4}[/tex] foot
iii) - 1 foot
[tex]-1 < \frac{-3}{4}[/tex]
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
iv)-2 feet
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
v)[tex]\frac{-5}{8}[/tex]
So, this location is higher than [tex]\frac{-3}{4}[/tex]foot
Answer: B, E
Step-by-step explanation:
The guy above is right but just to make it more easy
Please solve yes please
Answer:
h(t) = h₀ + v₀·t + 1/2 g t² with
h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²
4.9 seconds
Step-by-step explanation:
16.087 (t - 2.48648)^2 - 94.5842 = 0
solving as a quadratic equation yields t ≈ 4.9 seconds
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. The rule for the translation can be written as T–5, 3(x, y). The rule for the translation can be written as T3, –5(x, y). The rule for the translation can be written as (x, y) → (x + 3, y – 3). The rule for the translation can be written as (x, y) → (x – 3, y – 3). Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
The rule for the translation can be written as T3, –5(x, y)
Triangle ABC has been translated 3 units to the right and 5 units down.
Step-by-step explanation: I think this is correct
True statements are
The rule for the translation can be written as T3, –5(x, y).
Triangle ABC has been translated 3 units to the right and 5 units down.
Given :
The graph is attached below
Given options are
The rule for the translation can be written as T–5, 3(x, y).
The rule for the translation can be written as T3, –5(x, y).
The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
Triangle ABC has been translated 3 units to the right and 5 units down.
Explanation :
In the triangle ABC, A is at (-1,3)
In A'B'C', A' is at (2,-2)
From these points we can see that
[tex]-1+3=2\\3-5=-2[/tex]
So , 3 is added with x value and -5 is added with y value
Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.
Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]
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Answer:
5652ft²Step-by-step explanation:
Surface area of a hemisphere is 2πr²
Where r is the radius
radius = diameter / 2
From the picture diameter = 60ft
Therefore
radius = 60/2 = 30ft
Surface area of the hemisphere is
2π(30)²
= 2(900)× 3.14
= 1800 × 3.14
= 5652ft²
Hope this helps you
Answer:
Your answer would be 5652ft squared
Step-by-step explanation:
PLEASE HURRY Find the measures of the numbered angle
Answer:
90°
Step-by-step explanation:
The sum of the arcs around the circle is ...
2x +4x +4x +2x = 360°
x = 360°/12 = 30°
The numbered angle is the average of the measures of the intercepted arcs, so is ...
(4x +2x)/2 = 3x = 3(30°) = 90°
The numbered angle is 90°.
Given the following function, find f(-5), f(0), and f(2).
f(x) = - 3x-5
f(-5) =
Answer:
10, -5, -11
Step-by-step explanation:
f(x) = - 3x-5
f(-5) = -3(-5) - 5 => 15 - 5 => 10
f(0) = -3(0) - 5 => 0 - 5 => -5
f(2) = -3(2) - 5 => -6 - 5 => -11
The value of the function at x = –5, 0, 2 will be 10, –5, and –11.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = –3x – 5
The value of the function at x = –5, 0, 2 will be
f(–5) = –3(–5) – 5
f(–5) = 15 – 5
f(–5) = 10
f(0) = –3(0) – 5
f(0) = 0 – 5
f(0) = –5
f(2) = –3(2) – 5
f(2) = –6 – 5
f(2) = –11
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Can you please say if the point is on the line?
HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?
Answer:
B
Step-by-step explanation:
Take total displacement and divide by the time it took.
Simplify the expression so there is only one positive power for the base, -5. -5^7÷-5^2? A.1/5^9 B.-5^9 C.-5^5 D.1/5^5
Answer:
-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer
Step-by-step explanation:
plz give me brainlist
Answer:
5^5
Step-by-step explanation:
Select the correct answer.
2
- 3 and 9(-) = 2:3 - 2
find fx) - g(x).
A
-253 - 21 - 22
B. -23 - 25
С.
23 - 25 + 232
D. -23 + 22
Answer:
b: -23 -25
Step-by-step explanation:
im sorry if its not correct
Please help its eighth math!
Answer:
t and u are parallel lines
s and t are also parallel lines
Step-by-step explanation:
If two parallel lines are cut by a transversal ,
then in it
pair of alternate angle are equals, similarly vice versa
if pair of alternate angle are equals then lines are parallel
pair of corresponding angles are equal and vice-versa
for example
in the given problem
if line t and u are parallel (note we have assumed this to give example of parallel lines)
then angle 7 and 9 are called alternate angles
pair of angles 5 and 9 are corresponding angles.
________________________________________________
given
∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,
thus t and u are parallel lines
___________________________
∠1 = ∠3 as they vertically opposite angles
and we know that pair of vertically opposite angles are equal
given
∠1 = ∠7
thus
∠3 = ∠7
as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line s and t are also parallel.
Find the length of the missing sides. Round your answers to the nearest tenth. ( Hint: Always make sure to label your triangle first with your reference angle).
Find the length of X and Y please
Answer:
y = 19.4
x = 14.1
Step-by-step explanation:
Data
the opposite side to the angle 54° is ythe adjacent side to the angle 54° is xthe hypotenuse is 24 units lengthFrom definition:
sin(54°) = opposite/hypotenuse
Replacing with data and solving for y:
sin(54°) = y/24
sin(54°)*24 = y
19.4 = y
From definition:
cos(54°) = adjacent/hypotenuse
Replacing with data and solving for x:
cos(54°) = x/24
cos(54°)*24 = x
14.1 = x
factor the expression 2x^2-5x-3
Answer:
(2x+1)(x-3) is the factorized form of the given expression
Step-by-step explanation:
=2x^2-5x-3
By using sum and product rule
=2x^2-6x+1x-3
By taking common
=2x(x-3)+1(x-3)
=(2x+1)(x-3)
I hope this will help you :)
Answer:
(x-3)(x+1/2)
_____________________________________
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.
Answer:
[tex]3.5725 * 10^5[/tex]
Step-by-step explanation:
Given
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.
Required
How many grains of sand would there be in a 5-gallon container?
Let x represent the number of grains in 5 gallon; So, From the question, we have that;
8 cups = 3.5725 * 10^4
5 gallon = x
Cross Multiply
x * 8 cups = 5 gallon * 3.5725 * 10^4
Recall that 1 gallon = 16 cups
[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]
[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]
Divide both sides by 8
[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]
[tex]x = 10 * 3.5725 * 10^4[/tex]
[tex]x = 3.5725 * 10^5[/tex]
Hence, the number of grains of sand in 5 gallon is [tex]3.5725 * 10^5[/tex]
someone tell me which ones to check
Answer:
Options (1), (5) and (10)
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are congruent and parallel.
2). Opposite angles are equal.
3). Consecutive angles are supplementary.
4). Diagonals bisect each other.
Therefore, from the given options the correct options are,
Option (1) - Has two pair of parallel sides
Option (5) - Both pairs of opposite sides are congruent.
Option (10) - The diagonals bisect each other
FIRST GET AN BRAINLLEST !!!!! Solve the inequality below, then determine which number line shows the solution graphed correctly. 7x+9>−5
Answer:
Number Line B
Step-by-step explanation:
Let's simplify the inequality.
7x + 9 > -5
7x > -14
x > -2
The number line that represents this is B.
Solve the system of inequalities : |x|<7 |x| ≥5
Answer:
x=5,6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.
Next, draw a solid horizontal line at y = 5.
Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7. The result will be a trapezoid-shaped area. All points in this area are solutions to this system of inequalities.
This is a math question. Solve for x - 5x = 15?
Answer:
x = -3.75
Step-by-step explanation:
First, combine like terms:
x - 5x = -4x
-4x = 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:
(-4x)/-4 = (15)/-4
x = 15/-4
x = -3.75
-3.75 is your answer for x.
~
Answer:
x = -15/4
Step-by-step explanation:
x - 5x = 15
Combine like terms
-4x = 15
Divide each side by -4
-4x/-4 = 15/-4
x = -15/4
another algebra problem i cant solve
Answer:
where is the problem?
Step-by-step explanation:
Find the area of the circle to the nearest hundredth with r=4cm. d=18in.
Answer:
1.r = 4 cm
A(circle) = π·r²
= π·(4cm)²
= 3.14·16cm²
= 50.24 cm²
2.d = 18 in
d = 2r => r = d/2 = 18in/2 = 9 in
A(circle) = π·r²
= 3.14·(9in)²
= 3.14·81in²
= 254.34 in²