Answer:
[tex]\boxed{\sf{x\geq -3}}[/tex]Step-by-step explanation:
The following inequality can be solved by separating the term x from one side.
4x+15≥x+6
First, subtract by 15 from both sides.
4x+15-15≥x+6-15
Solve.
4x≥x-9
Then, you subtract by x from both sides.
4x-x≥x-9-x
Solve.
3x≥-9
Divide by 3 from both sides.
3x/3≥-9/3
Solve.
Divide the numbers from left to right.
-9/3=-3
[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]
Therefore, the correct answer is x≥-3.I hope this helps, let me know if you have any questions.
Answer:
x ≥ -3
Step-by-step explanation:
To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.
Given inequality:
4x + 15 ≥ x + 6As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.
⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15⇒ 3x ≥ -9As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.
⇒ 3x/3 ≥ -9/3⇒ x ≥ -3Therefore, the solution is x ≥ -3.
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answer: There should be 16, 20 cent coins
Step-by-step explanation:
First we have to do 1.60 x 2 which equals 3.2
Then we divided by 0.20 because the equals the 20 cent coins
We get 16
We can check our work by 0.20 x 16 and that gives us 3.2
I hope this helps!
22points) what’s 1+1?
A=1
B=2
C=-2
D=11
E=21
F=77
G=I don’t know
Step-by-step explanation:
1 plus 1 equals 2
It's addition so u just add
1 + 1 = 2
Pls mark me brainiest
Steps on how to solve?
Answer:
w = 3
Step-by-step explanation:
Raise both sides to the 4th power. This will "undo" the fourth root that is on both sides. See image. Then solve for w. Crossmultiply. Combine the w terms and the numbers. Divide to isolate the variable. See image.
Find the determinant of this matrix:
[tex]\left[\begin{array}{ccc}0&6\\5&0\end{array}\right][/tex]
Answer:
-30
Step-by-step explanation:
Apply the formula
[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]
0(0)-6(5)
-30
could someone please help me with this super quickly? only real answers please
optionally you could check out some of my previous questions such as with https://brainly.com/question/27457567 it gives 50 points as well
Answer:
Axis of symmetry: x = 5
Vertex form: y = -4(x - 5)² + 3
Step-by-step explanation:
Given ordered pairs: (2, -33) (3, -13) (4, -1) (5, 3) (6, -1)
Axis of Symmetry
As this is a parabola, it will be symmetrical.
To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.
Two ordered pairs with the same y-value: (-4, 1) and (6, -1)
Midpoint of x = 4 and x = 6 is: x = 5
Therefore, the axis of symmetry is x = 5
Vertex form
Vertex form of a quadratic equation: y = a(x - h)² + k
(where (h, k) is the vertex)
The axis of symmetry is the x-value of the vertex of the parabola.
As we have been given the point when x = 5, the vertex is: (5, 3)
Substituting this into the formula:
⇒ y = a(x - 5)² + 3
To find the value of a, substitute any of the other points into the formula and solve for a.
Using (4, -1)
⇒ a(4 - 5)² + 3 = -1
⇒ a(-1)² = -4
⇒ a = -4
Therefore, the vertex form of the parabola is:
y = -4(x - 5)² + 3
Amari pays $7,440 in taxes on his income of $46,500. What percentage of his income is going toward taxes???
Answer:
16%
Step-by-step explanation:
percent = part/whole × 100%
percent = 7440/46500 × 100%
percent = 0.16 × 100%
percent = 16%
Answer:
Step-by-step explanation:
You divide 7,440 by 46,500 because that is the amount of his income going towards taxes.
7440/46500 = .16
.16=16%
8) Solve the exponential equation
Answer:
5/8 =x
Step-by-step explanation:
2 ^ ( 3x-5) = ( 1/32) ^x
Rewriting 1/32 as 2 ^ -5
2 ^ ( 3x-5) = ( 2^-5) ^x
We know that a^b^c = a^ ( b*c)
2 ^ ( 3x-5) = ( 2) ^-5x
Setting the exponents equal
3x-5 = -5x
Subtract 3x from each side
3x-5-3x = -5x-3x
-5 = -8x
Divide each side by -8
-5/-8 = -8x/-8
5/8 =x
Given that the expression 2x² -2.9x-3.6 can be factorized into the form 0.1(px+q)(rx+s), where p, q, r and s are integers, find the value of p + q + r + s.
[tex]~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10} \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4[/tex]
The value of p + q + r + s in the equation 0.1{(5x + 4)(4x - 9)}.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, 2x² - 2.9x - 3.6.
Now, 0.1(20x² - 29x - 36).
= 0.1{4x(5x + 4) - 9(5x + 4)}.
= 0.1{(5x + 4)(4x - 9)}.
∴ p + q + r + s = 5 + 4 + 4 - 9.
p + q + r + s = 4.
learn more about quadratic equations here :
https://brainly.com/question/17177510
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Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
20
Step-by-step explanation:
An artist glues together pieces of plastic to make a design as shown in the diagram. What is m∠ACD?
A)50°B)60°C)70°D)80°E)90°
40 PTS PLS HELP! The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.
Question 5 options:
14.28 cm2
22.542
20.56 cm2
32.642
Answer:
1.1458
2.
3.14.14 cm2
4.20035
di ako sure correct me if i wrong
The area of the figure formed by the square and semicircle is T = 22.28 cm²
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the value of A is
Let the area of the semicircle be S
Let the total area of the figure be T = S + A
where A = ( 4 )² = 16 cm²
And , S = ( πr² ) / 2
S = 3.14 x ( 2 )² / 2
S = 6.28 cm²
So , the total area T =6.28 cm² + 16 cm² = 22.28 cm²
Hence , the area of the figure is T = 22.28 cm²
To learn more about area of square click :
https://brainly.com/question/17707380
#SPJ3
The complete question is attached below :
The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.
A) 22.28 cm2
B) 22.542
C) 20.56 cm2
D) 32.642
A reading work shop started at 8.30am and ended at 1pm. how long wasthe workshop .give your answer in h and min
Answer:
5 hours and 30 mintues?
Step-by-step explanation:
1.
Use trigonometry to work out the value of x.
Not drawn accurately.
Help pls
Answer:
20cos(39) or 15.543 (3 d.p.)
Step-by-step explanation:
Use SOHCAHTOAYou want to find A and have an angle of 36° and HSo use CAHcos(39) = x / 20x = 20cos(39)Find -37.6 + (-3.9) + (-20)
Answer: - 61.5
Step-by-step explanation:
A positive and a negative sign together, like in this problem, become a negative sign. Then we subtract.
-37.6 + (-3.9) + (-20)
-37.6 - 3.9 - 20
- 61.5
Answer:
61.5
Step-by-step explanation:
9. How can you better manage stress and feelings related to anxiety?
O A.By working more hours
O B. By understanding your own emotions
O C.By improving your grades
O D. By having a stricter social schedule
Mark for review (Will be highlighted on the review page)
Answer:
B. By understanding your own emotions
Step-by-step explanation:
Other options seem unrealistic so B would be best.
If you randomly select a letter from the phrase "Brandon loves to eat at Red Robin," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.)
Answer:
16/27
Step-by-step explanation:
Formula for probability:
favourable outcomes/possible outcomes
using this we can find the answer.
let's first count all the consonants. there are 16 consonants and 27 total letters. that means that your answer would be 16/27.
Don drew this diagram of four rectangular pens he wants to build for his four goats. If
each of the pens are 12 feet by 9 feet, how
many feet of fencing does he need?
(Will give brainliest if you show work)!
Answer:
So he will need 168 feet of fencing.
Step-by-step explanation:
The perimeter formula of a rectangle is P=(2xL)+(2xW)
The length is 12 and the width is 9.
First, do P=(2x12)+(2x9), P=24+18 P=42 feet
Next, since there are four pens multiply the perimeter of 1 pen by 4.
4x42=168 feet of fencing
So, Don will need 168 feet of fencing.
Solve for the missing components
Find the area and circumference of each shaded sector. Use 3.14 for . Round to the
nearest tenth.
Answer:
Area = 226.1 ft^2
and circumference = 61.7 ft.
Both to the nearest tenth.
Step-by-step explanation:
The area of shaded part
= 1/2 *3.14 r^2
= 1/2 * 3.14 * 12^2 = 226.1 ft^2.
Circumferences of the shaded part = diameter + length of the semicircle
= 2 *r + 3.14 * r
= 2*12 + 3.14 * 12
= 61.68 ft.
If i have 5 friends how many will i have if i add 6
Answer:
[tex]11[/tex]
because [tex]5 + 6 = 11[/tex]
Answer:
the answer is 11
Step-by-step explanation:
the answer is 11 because 6 plus 5 equals 11
Cars A, B, and C are travelling at constant speeds. Select the car that travels the fastest. Choose 1 answer: Choose 1 answer: (Choice A) A (Choice B) B Car B travels a distance of ddd kilometers in hhh hours, based on the equation 55h=d55h=d55, h, equals, d. (Choice C) C Car C travels 135135135 kilometers in 333 hours.
Answer:
correct answer is B
Step-by-step explanation:
comparing the speed at which the three cars travel and also considering the fact that they travel at a constant speed without increase or decrease in speed or acceleration, it gives B the highest speed at 55h per day
thank you.
Answer:B
Step-by-step explanation:
PLEASE HELP
Estimate the square root to the nearest (a) integer and (b) tenth.
What is the value of the expression.
20 + 12 ÷ 1/4 x 3
Answer:
164
Step-by-step explanation:
[tex]20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164[/tex]
Clara simplifies ( 8 b − 4 r ) − ( 2 b − r ) and says the result is 6 b − 5 r . What error did Clara make? Clara incorrectly combined the b coefficients. The correctly simplified expression is 10 b − 5 r . Clara incorrectly combined the , b, coefficients. , The correctly simplified expression is , , 10 b minus 5 r, . Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b − 3 r . Clara incorrectly combined the , r, coefficients. , The correctly simplified expression is , , 6 b minus 3 r, . Clara incorrectly combined the r coefficients. The correctly simplified expression is 6 b + 5 r . Clara incorrectly combined the , r, coefficients. , The correctly simplified expression is 6 b plus 5 r, . Clara incorrectly combined the b coefficients. The correctly simplified expression is − 10 b − 5 r . Clara incorrectly combined the , b, coefficients. , The correctly simplified expression is negative 10 b minus 5 r, .
the answer is d i think. not sure though if its not ill come back and type that its not the answer in the comments
You throw a baseball upward with an initial velocity of 35 feet per second. The height h (in feet) of the baseball relative to your glove is modeled by the position function
h(t) = −16t² + 35t,
where t is the time in seconds. How long does it take for the ball to reach your glove? (Round your answer to one decimal place.)
Answer:
35/16 sec ( 2 3/16 sec)
Step-by-step explanation:
This assumes you glove is at height = 0
0 = -16t^2 + 35t
0 = t ( -16t + 35) shows t = 0 ( before you throw it) and t = 35/16 sec
find the area of the figure
explain to get brainliest
Answer:
4.5 inches²
Step-by-step explanation:
A of triangle = 1/2 bh
= 1/2×5×5
= 12.5 inches²
A of rectangle = lw
= 4×2
= 8 inches²
A of shape = 12.5 - 8
= 4.5 inches²
Answer:
4.6 inches
Step-by-step explanation:
5 x 5 = 25 = related rectangle
25/2 = triangle = 12.5
12.5 - (2 x 4 ) = 4.5 in.
Given ABC = DCB; m A= 45°; m ABC = 3x;
m DBC = 30 and m ACB = 4y + 2, find the values of x and y.
How would I solve I need to know Asap
Answer:
a reflection across the x axis
Step-by-step explanation:
triangle ABC is reflected across the x axis to create triangle DEF
we know this because the triangles are essentially mirrored about the x axis
0.46 + (-0.642)
Please help!! Thank you!!
Answer:
-0.182
Step-by-step explanation:
Given expression:
0.46 + (-0.642)It should be noted that;
1. Positive integer + (Negative integer) = Positive integer - Positive integer
a + (-b) = a - b2. Positive integer - (Negative integer) = Positive integer + Positive integer
a - (-b) = a + bOur case is point 1. Therefore,
⇒ 0.46 + (-0.642)⇒ 0.46 - 0.642⇒ -0.182The linear function y 2.5x + 3.94 represents the amount of revenue in millions since 2000. What
was the revenue in millions in 2010?
Answer:
i dont know what will i do that plss help me