Answer:
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Interval Notation: (- ∞, -1/2]
The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded. The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.
Step-by-step explanation:
The number line representing the solution set for the inequality given is option C.
The inequality is 2x - 6 ≥ 6(x-2) + 8,
Solving for x,
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Therefore, the Interval Notation is (- ∞, -1/2]
This means that the all the values of x will be less than -1/2 or equal to it,
Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).
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If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.
Answer:
16
Step-by-step explanation:
If P is a right angle the the value of 7x - 22 would be equal to 90°
7x - 22 = 90°
7x = 112°
x = 16
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.
Answer:
-11
Step-by-step explanation:
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].
Step-by-step explanation:
To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].
Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].
Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].
Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].
So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].
Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].
This is our final equation.
Please help me with my question!!
[tex](5^3)^7[/tex]
[tex]5^{3 \times 7}[/tex]
[tex]5^{21}[/tex]
Answer:3*7=21 not 10
You have to multiply the number outside brackets with the inner number
Step-by-step explanation:
Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)
Answer:
(f * g)(x) = 2(x²) + 4
Step-by-step explanation:
Explanation:-
let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3
(f * g)(x) = f(g(x)) = f(x² + 2)
= 2(x² + 2)
= 2(x²) + 4
final answer:-
(f * g)(x) = 2(x²) + 4
Find the Shaded area 12 cm 18cm 8cm 8cm
Answer:
3,456
Step-by-step explanation:
12x18x(8x2)= 3,456
compare: 3 5/7 to 3 6/10 which one is greater
Answer:
3 5/7
Step-by-step explanation:
First we need to get a common denominator.
We can do this by multiplying the fractions by opposite denominators.
This gets us 3 50/70 and 3 42/70
Now we can see that 3 5/7 is greater
Steps:
Using the given inputs: 3 5/7 and 3 6/10
Rewriting these inputs as fractions: 3 5/7 3 6/10
26/7 36/10
The least common denominator (LCD) is: 70.
Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10
260/70 252/70
Comparing the numerators of the equivalent fractions we have:
3 5/7 3 6/10
260/70 > 252/70
Comparison shows: 3 5/7 > 3 6/10
Answer: 3 5/7 > 3 6/10
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pls help me fast as u can
pls
Answer:
M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1
I.Convert the following into minutes
a)2 hours 12 minutes 72
b)7 hours 45 minutes 465
II.Convert the following into seconds.
a)1 hour 4 minutes 26 seconds 3866
b)2 minutes 43 seconds 163
III.
a) 246 minutes= 4 hours 6 minutes
b) 117 seconds= 1 minutes 57 seconds
Step-by-step explanation:
if its wrong sorry i tried mmy best
Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm
Answer:
it's A B D i don't know why the other person couldn't have just said that and make it look confusing
Answer:
A< B< D
Step-by-step explanation:
Solve the equation for y: x = 2y - 3
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
Wht is the y-intercept of the line describes by the equation below?
Answer:
(0,7)
Step-by-step explanation:
This is in the form
y = mx+b where m is the slope and b is the y intercept
y = -5x +7
The slope is -5 and the y intercept is 7
(0,7)
Answer:
(0,7)
Step-by-step explanation:
y=mx+b
y=-5x+7
so y intercept is (0,7)
Can someone help me solve this?
Answer:
233.5
Step-by-step explanation:
step 1. A=wl=8·20=160
step 2. A=wl=6·12=72
step 3. A=ab
2=3·1
2=1.5
step 4. 160+72+1.5= 233.5
In a test +3 marks are given for every correct answer and -1 mark for every incorrect answer. Sona attempted all the questions and scored +20 marks through she got 10 correct answers. How many questions were asked?
Answer: 20
Step-by-step explanation:
(i) Sona got 10 answers correct.
1 correct answer = 3 marks
10 correct answers = 10×3 = 30 marks but she got only 20
1 wrong answer = -1 mark
that means she attempted 10 incorrect answers.
No.of questions in the test= no.of incorrect + no.of correct answers
10+10= 20
i would appreciate if you do a step by step work pls !!
Answer:
A. 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cos 60° = y / 4[tex]\sqrt{3}[/tex]
cos 60° = 1/2
y = 2[tex]\sqrt{3}[/tex]
write 55g as a percentage of 2.2kg
Answer:
2.5%
Step-by-step explanation:
55 grams * 0.001 kg/1 gram=
0.055kg/2.2 kg = 0.025 kg
0.025*100% = 2.5%
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
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Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.
R=6.25
Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?
Answer:
The number of 32 Gigabit keys that can be fitted on the hard drive is 375.
Step-by-step explanation:
The question is:
If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?
Solution:
1 Terabyte = 8000 Gigabits
Then 1.5 Terabytes in Gigabits is:
1.5 Terabytes = (8000 × 1.5) Gigabits
= 12000 Gigabits
One key is of 32 Gigabits.
Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:
[tex]\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375[/tex]
Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.
4x+3=-10x+ 3 in simples form
Answer:
14x=0
Step-by-step explanation:
Answer
14x+3=3
add 10x to both sides
Answer anyone please ?!
Answer:
A & D
Step-by-step explanation:
Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
Neon green is a paint color that contains the colors yellow and green in the ratio 3:5 by volume. How many ml of each color is in 100ml of neon green paint? Show your thinking
Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?
Answer:
Step-by-step explanation:
Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of terms(number of years) in the sequence.
a represents the first term in the sequence(the length 3 years ago)
r represents the common ratio(rate of erosion)
From the information given,
a = 220 feet
r = - 1.5/100 = - 0.015
n = 3
Therefore, the length of the field after 3 years, S3(length of the field now) would be
Sn = a(1 - r^n)/(1 - r)
S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)
S3 = 220.0007425/1.015
S3 = 216.7495 feet
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
Please mark BRAINLIEST!
what is 25,00+30,00=
Answer:
5,500
Step-by-step explanation:
2,500 + 3,000:
2000 + 3000 + 500
5000 + 500
5500
Easy!
11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer
Answer:
$180 + $15d
Step-by-step explanation:
Since Carol's Car Rentals offers a deal of $180 down payment + $15 per day and AL's Auto Rentals offer a deal of $250 down payment $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:
cost of Carol's Car Rentals = Down payment + cost per day.
If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days
cost of Carol's Car Rentals = $180 + $15d
the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km
Answer:
[tex]105km[/tex]
c
Step-by-step explanation:
[tex]1cm = > 7km \\ 1cm = > 700000[/tex]
[tex]1 : 70000[/tex]
[tex]1cm = > 700000cm \\ 15cm = > x[/tex]
[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]
Use cross multiply
[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]
so,
[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]
[tex]15cm = 10,500m \\ 15cm = 105km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)
Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)
Answer:
the answer is 1100
Step-by-step explanation:
you will do... 5500*20/100
What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?
Answer:
[tex]2262.20 in^3[/tex]
Step-by-step explanation:
Given data
height of cylinder h= 20 in
base radius r= 6 in
We know that the formula for the volume of a cylinder is expresses as
[tex]volume= \pi r^2h[/tex]
Substituting our data into the expression we have
[tex]volume= 3.142*6^2*20\\volume= 2262.24 in^2\\[/tex]
To the nearest tenth we have the volume to be
[tex]2262.20 in^3[/tex]
Answer: 2261.9
use volume of a cylinder formula
Substitute Variables into formula
Multiply
Then round to the nearest 10th