Answer:
Hello! The answer is x ≥ [tex]\frac{7}{2}[/tex].
Step-by-step explanation:
To solve this inequality, we have to get x by itself. To do so, we will rearrange the inequality. To do so, we will subtract 6x from both sides and add 3 to both sides:
8x - 3 ≥ 6x + 4
-6x +3 -6x +3
----------------------
2x ≥ 7
Now, we have to get x by itself and divide both sides by 2 to do so:
2x ≥ 7
-- --
2 2
This leaves us with:
x ≥ [tex]\frac{7}{2}[/tex]
The required solution to the inequality 8x - 3 ≥6x + 4 is x ≥ 3.5.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To solve the inequality, we want to isolate the variable x on one side of the inequality symbol.
8x - 3 ≥ 6x + 4
Subtract 6x from both sides:
2x - 3 ≥ 4
Add 3 to both sides:
2x ≥ 7
Divide both sides by 2:
x ≥ 7/2
Therefore, the solution to the inequality is x ≥ 3.5.
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WILL GIVE BRAINLIEST
I NEED TO FIND X AND Y
Answer:
x = 3
y = 2
Step-by-step explanation:
Equations
7x - 7y = 7
-4x - 7y = - 26 Multiply both sides of the equation by - 1
-1(-4x - 7y = - 26)
4x + 7y = 26
Solution
Add the two equations together
7x - 7y = 7
4x + 7y = 26
11x = 33 Divide by 11
11x/11 = 33/11
x = 3
4x + 7y= 26 Use this equation to solve for y. Use x = 3
4*3 + 7y = 26 Combine the left
12 + 7y = 26 Subtract 12 from both sides
12 - 12 + 7y = 26 - 12 Combine
7y = 14 Divide by 7
7y/7 = 14/7
y = 2
What is the solution to the equation below? (Round your answer to two
decimal places.)
log₂ x = 4.3
A. x = 18.49
B. x=2.15
C. x = 8.60
D. x=19.70
Answer:
D
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] , then
[tex]log_{2}[/tex] x = 4.3 ⇒ x = [tex]2^{4.3}[/tex] ≈ 19.70 ( to 2 dec. places )
Population dynamics must consider the number of individuals that are lost per unit of time, also called the
Population dynamics must consider the number of individuals that are lost per unit of time, also called the mortality rate.
Mortality, or mortality, is a measure of the number of deaths (generally or due to a particular cause) in a particular population, scaled to the size of that population per unit of time.
The relative incidence of deaths in a particular population over a particular time period. Often expressed as the rate of human deaths or wildlife deaths from environmental hazards during a public health crisis. The highest mortality rate for patients over the age of 80 was during the last flu season.
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If a 25-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 40 meters tall
Answer:
The shadow cast by the tree is 80 meters long.
Step-by-step explanation:
Flagpole:
object/shadow
25/50 = 1/2
Tree:
object/shadow
40/x
Solve for x:
1/2 = 40/x
x = 80
Which term describes the line segment that connects a vertex of a triangle to a point on the line containing the oppostie side, so that the line segment is perpendicular to that line?
Answer:
90 degree and the angle sides
What's Part of a 1 minute and 5 seconds?
What is the area of the trapezoid?
A. 120 cm squared
B. 128 cm squared
C. 144 cm squared
D. 176 cm squared
Answer: B. 128
Step-by-step explanation:
According to the picture, the parallel side of the trapezoid are a= 10 cm and b = (10+4+8) cm= 22 cm respectively
The perpendicular distance between these parallel sides, h = 8 cm
We know,
Area of trapezoid = {{(a+b)×h} ÷ 2
={(10+22)×8}÷2
=128
find the value of x - Pythagorean theorem
Answer:
B. 35
Step-by-step explanation:
[tex] {12}^{2} + {x}^{2} = {(x + 2)}^{2} [/tex]
[tex]144 + {x}^{2} = {x}^{2} + 4x + 4[/tex]
[tex]144 = 4x + 4[/tex]
[tex]4x = 140[/tex]
[tex]x = 35[/tex]
Answer:
B.35 is the correct answer
Step-by-step explanation:
. Hello!
As, we know Pythagorean theorem is
a²+b²=c²,
where a&b are two sides of the triangle and c is it's hypotenus.
so, assuming 12=a, x=b and x+2i=c
a²+b²=c²(12)²+(x)²=(x+2)²...substitute values 144+x²=x²+4x+4...squaring it144+x²-(x²+4x+4)=0...shift x²+4x+4 to the left144+x²-x²-4x-4=0...equate the similar values140-4x=0....move 140 to the right to solve for it-4x=-140....divide both sides by 4x=35.... finally we get 35.If you have any questions ask me thx
How do you prove that a line parallel to one side of a triangle divides the other two sides proportionally and converse (Triangle Proportionality Theorem)?
In order to prove that a line that is parallel to one side of a triangle divides the other sides proportionally, you can use the Cross Product Property.
What proof does the Cross Product Property give?If a line is parallel to one side of a triangle and divides the other two sides, those sides would be proportional to each other according to the Triangle Proportionality Theorem.
This can be shown as:
AB² = BC x BD
Where the two sides can be multiplied to get the length of the side the parallel line crossed from.
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Can't seem to solve this one
Answer:
.88
Step-by-step explanation:
[tex] \sqrt{.7775} = .88[/tex]
The standard deviation is the square root of the variance.
Find f(3) and find one value of x for which f(x)=2.
Answer:
f(3)=-4; x=1
Step-by-step explanation:
Just use the graph
[tex]\huge\boxed{f(3)=-4}\\\huge\boxed{f(1\ \textsf{or}\ 4)=2}[/tex]
For this question, we just need to look at the graph.
Part a[tex]f(3)=\ ?[/tex]
Go to [tex]3[/tex] on the x-axis and see what value from the y-axis it intersects with.
It's [tex]-4[/tex], right at the bottom of the little valley there.
Part b[tex]f(?)=2[/tex]
For this part, we do the opposite. Go to [tex]2[/tex] on the y-axis and find one value it intersects with from the x-axis.
You can go with either [tex]1[/tex] or [tex]4[/tex] here.
Name the marked angle in 2 different ways
The 2 different angles you can name are <UVT and <VST. Hope this helps and please mark brainlist
What should be subtracted from 5/8 to make it -1
Answer:
13/8
Step-by-step explanation:
let the number be x
5/8 - x = -1
-x = -1 - 5/8
-x = - 13/8
x = 13/8
5/8- 13/8 = -1
Answer:
13/8
Step-by-step explanation:
5/8 - x = -1 where x is the number to be found.
- x = -1 - 5/8
x = 5/8 + 1
= 13/8.
Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the formula A = Pert, where A is the ending amount, P is the principal (initial amount), r is the interest rate, and t is time.
A.20%
B.5%
C.28%
D.3%
Answer:
Step-by-step explanation: C. 28%
[tex]A = Pe^{rt}[/tex]
[tex]1649 = 100 \cdot e^{10r}\\16.49 = e^{10r}\\\ln{16.49} = 10r\\r = \frac{\ln{16.49}}{10} = 0.28\\[/tex]
The triangles are congruent by SSS or HL.
Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.
Which transformation(s) can map TrianglePQR onto TriangleSTU?
translation only
rotation only
rotation, then reflection
reflection, then translation
From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.
What is a congruent triangle?Congruent triangles are known as triangles that have the same size, shape and angles.
It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.
There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D
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Answer:
reflection, then translation
Step-by-step explanation:
The answer above is correct.
Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:
A triangle has side lengths of 10, 11, and 15. What type of triangle is it?
Procedure:
102 ?? 112 + 152
100 ?? 121 + 225
100 < 346
Conclusion:
This triangle is an acute triangle.
Which statement best summarizes Ella’s work?
Ella’s procedure and conclusion are correct.
Ella’s procedure is correct, but her conclusion is incorrect.
Ella’s procedure is incorrect, but her conclusion is correct.
Ella’s procedure and conclusion are incorrect.
[tex]3x+9+2x=x-2x-3[/tex]
Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
Find arc AB.
A. 54°
B. 108°
C. 72°
D. 126°
A triangle is a three-edged polygon with three vertices. The measure of arc AB is 72°. Thus, the correct option is C.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since in the ΔAOB, the length of the side OA and OB are,
OA = OB = radius
Therefore, the triangle is an isosceles triangle. Thus, we can write,
∠OAB = ∠OBA = 54°
Now, the sum of all the angles of ΔAOB is,
∠AOB + ∠OAB + ∠OBA = 180°
∠AOB + 54° + 54° = 180°
∠AOB = 72°
Hence, the measure of arc AB is 72°. Thus, the correct option is C.
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is 6x^5 + 3x^4 + 1^3
a fifth-degree polynomial with three terms in standard form
The statement is true, it is a polynomial of degree 5 with 3 terms.
Is the statement true?
A polynomial is of the form:
[tex]p(x) = a_n*x^n + ... + a_0[/tex]
Where the degree is the maximum exponent of the polynomial, in this case, is n.
The given polynomial is:
[tex]p(x) = 6x^5 + 3x^4 + x^3[/tex]
So, the maximum exponent is 5, which means that the degree of the polynomial is 5.
And it has 3 terms, so the statement is true.
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CAN ANYONE HELP! PLSS
Answer:
x = 8
Step-by-step explanation:
An Equilateral triangle is a triangle in which all three sides and angles are equal. The value of each angle of an equilateral triangle is 60 degrees therefore we get the equation 9x - 12 = 60
Add 12 from both sides to isolate the 9x leaving us with:
9x = 72
Divide both sides by 9 to give us x, which is
x = 8
how many Jamaican dollars are equivalent to US $135 , if US =$1 - JA $87.50
11812.5 Jamaican dollars is equivalent to $135
How to determine the amount?The conversion rate is given as:
$1 = JA 87.50
Multiply both sides of the conversion rate by 135
135 * $1 = JA 87.50 * 135
Evaluate the product
$135 = JA 11812.5
Hence, 11812.5 Jamaican dollars is equivalent to $135
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Geometry isnt my best subject. Can someone please help me?
Answer:
3.
Step-by-step explanation:
The line segments are in the following ratio:-
2/10 = x/15
10x = 30
x = 3.
(2 StartRoot 7 EndRoot + 3 StartRoot 6 EndRoot) (5 StartRoot 2 EndRoot + 4 StartRoot 3 EndRoot)
If quadrilateral JKLM had a translation where all the vertices were in the second quadrant, what would be the vertices?
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter, and its width from left to right is 20 meters.
If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex?
The height of the telescope of 1 meter and width of 20 meters gives a distance of the focus from the vertex of 25 meters.
Which method can be used to find the distance between the focus and vertex?Given that the vertex is at the origin, we have;
(h, k) = (0, 0)
The equation of a parabola is presented as follows;
(x - h)² = 4•p•(y - k)
x² = 4•p•y
When x = 10, y = 1
Therefore;
p = 10² ÷ 4 = 25
The focus of the parabola = (h, k + p)
Which gives;
The focus of the parabola = (0, 0 + 25) = (0, 25)
The distance of the focus from the vertex is therefore;
d = 25 - 0 = 25The distance of the focus from the vertex is 25 metersLearn more about the parts of a parabola here:
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The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 3.71 WPM
p = 6.98
The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly selected then,
The z-score of the information given is:
z=(x-μ)/σ
where
μ-mean
σ- standard deviation
from the information given:
x=3.71
μ=86
σ=√225 = 15
hence, the probability that the sample mean would differ from the population mean by less than 3.71 WPM is
z = (3.71 + 86)/15
z = 5.98
thus,
p = 1 + 5.98 = 6.98
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will give brainliest! Select the graph which correctly displays the function f(x) = |x + 2|– 3.
You are trying to help esteban understand the concept of a 5% slack in the line. you explain that having 5% slack means that the length is 5% longer than it would be
The correct answer is 5.25%.
What is slack length?These include the optimal muscle fibre length, the length at which the muscle can generate maximum force, and the tendon slack length, the length at which the tendon starts to generate a resistive force to stretch.
Given,
two figure
To find, slack length (l)
AB = √4² + 3² ⇒ 5
l = [tex]5 + \frac{5}{100} * 5[/tex]
l = 5.25
Hence slack length is 5.25
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If it were completely straight. You compare ΔABC to Fiqure DEF where curve DE is 5% longer than line segment AB . t Right Triangle without Slack Figure with Slack Brake :cord Enter the length of curve DE given that the curve is 5% longer than line segment AB.
Quick algebra 1 question for 50 points!
Only answer if you know the answer, Tysm!
[tex]revenue = selling \: price \times quantity \: sold[/tex]
[tex]m(t) = 3t[/tex]
B)Since we only have 75 tickets to sell, the domain is:t ε [ 0 , 75 ]Range: (extra)m ε [ 0 , 225 ]#1
M(t)=3tBecause
revenue=sold price×no of items
#2
The restriction is of 75tickets and the tickets can't be negative
so
0≤t≤75Domain
[0,75]Which expression is equivalent to -2x + 5 ?
10 - 4x - 5 + 2x
3(2x + 1) - x - 1
3x + 5 - x - 10
–x - 9 + 4x + 4
Step-by-step explanation:
the first one
10 - 4x - 5 + 2x
-4x + 2x = -2x
10 - 5 = 5
so, in sum,
-2x + 5