Step-by-step explanation:
x+2y ≥ 4 => y ≥ -½x +4
-2x + y > -3 => y > 2x - 3
Answer:
Work out the equations of the lines first.
The solid line
It has a slope of m = (1 - 2)/2 = -1/2 and the y-intercept of 2The line is:
y = -1/2x + 2The dotted line
It has a slope of m = (-1 + 3) / 1 = 2/1 = 2 and the y-intercept of -3The line is:
y = 2x - 3The intercession zone is above of both of the lines, so the inequalities are:
y ≥ -1/2x + 2y > 2x - 3help me..........
only 12......
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the image above
Please help I put 50 points
Answer:
output = input - equation
y = x - 7
so 7 is your correct equation!!
Step-by-step explanation:
as u can see
When input x is subtracted from output y, we are getting answer 7
like here
imma gonna tell u how 7 is came
1-8=7
2-9=7
3-10=7
4-11=7
so 7 is our equation
its just a explanation okay
so we get our solution
•°• Y = X - 7
hope it may help you!!
mark as brainlist
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.
Answer:
a) x = 8.29 cm
D) V = 1125.27 cm³
Step-by-step explanation:
a) We can solve the equation as follows:
[tex] 2x + 5x - 58 = 0 [/tex]
[tex] 2x + 5x = 58 [/tex]
[tex] x = \frac{58}{7} = 8.29 [/tex]
D) The volume of the box is given by:
[tex] V = l*w*h [/tex]
Where:
l: is the length
w: is the width
h: is the height
The length of the rectangular box is:
[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]
The width is x = 8.29 cm.
And the height is:
[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]
Hence, the volume is:
[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]
I hope it helps you!
Find the length of "b" to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
3/4 part of a rope is 150m. find the length of 7/10 part of the rope
Please help ASAP with step by step explanation.
Answer:
140m
Step-by-step explanation:
3/4 = .75
x/.7 = 150/.75
multiply both sides by .7
x = 150/.75 * .7
x = 140m
SOMEONE HELP ME LOL IM SO OVERWHELMED
Answer:
1) [tex]\frac{12.2}{sin(54)}[/tex] which rounds to 15.1
2) [tex]\frac{12.2}{cos(54)}[/tex] which rounds to 20.8
Step-by-step explanation:
1) We're going to have to use the trig ratios for this. We know that sin(x) = [tex]\frac{opposite}{hypotenuse}[/tex] (opposite side over the hypotenuse). In this case, we know that angle h = 54 and the side opposite to angle h = 12.2, and we're trying to find the hypotenuse. If we label the hypotenuse as x, then we can say that sin(H) = [tex]\frac{MI}{HI}[/tex]. We can plug in the values we know to get sin(54) = [tex]\frac{12.2}{x}[/tex]. From there, we multiply by x on both sides to get x out of the denominator, and then we divide by sin(54). So, we end up with x = [tex]\frac{12.2}{sin(54)}[/tex] which, if you put it in your calculator (and make sure the calculator is in degree mode) we get approximately 15.1 mi.
2) Follow the same steps that are described in 1), but instead of sin, we're using cos.
Hope this helps! Let me know if you have any further questions!
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
Please help me it's urgent!
Answer:
y = 2x-5
y=-x+4
Step-by-step explanation:
Just need to solve the:
x+y=4
y-2x=-5
And we have:
x=3
y=1
Then replace x and y into the answer to find the correct one
Two Points P and Q, 25 meters apart, are on the same Straight line, the same side and the same ground Level as the foot of the tower. If the angle depression of P and Q from the top of the tower are 33 and 40° respectively, find to the nearest metre, the; 1.distance from Q to the foot of tower. 2.height of the tower.
Answer:
b
Step-by-step explanation:
What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
37.68 ft.
36.26 ft.
38 ft.
Answer:
37.68ft
Step-by-step explanation:
Answer:
37.68 ft
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = 3.14 * 12
C =37.68 ft
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
Bailey draws a map of the zoo on a coordinate grid. The reptile house is located at (2 ,5), and the gorilla exhibit is located at (8, 3). Which point is the correct location of the reptile house?
Answer:
B. Point E
Step-by-step explanation:
Your point is (2,5) for the reptile house ((8,3) is extra unnecessary information) to find the house you go to the right 2 units and then 5 units up. The only one that matches is point E so therefore it's your answer.
A candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans in the jar were either green or orange. There were 1,872 jelly beans in the jar in total. There were 12 times as many green jelly beans as orange jelly beans. How many green jelly beans were in the jar?
Answer:
Step-by-step explanation:
Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.
Now all we need to do is to find x.
We know that ,
x + 12x = 1872
Now we add x and 12x on the left hand side
13x = 1872
Now we divide both sides by 13 to get x. (That includes 1872 as well)
x = 144
Now we have the value of x which is 144
We know that the number of green jelly beans was 12 times x
So the number of green jelly beans in numeric value is : 12 * 144
As x is equal to 144
Ans . : The number of green jelly beans is 1728.
The number of green jelly beans is 1728.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Let the number of orange jelly beans = x ,
So, the number of green jelly beans will be = 12 times x ,
which can be written as, 12x.
Now, there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange is x , and the number of green jelly beans is 12x.
So if we the green jelly beans and orange jelly beans , it should be 1872.
Now, We get;
x + 12x = 1872
13x = 1872
Divide both sides by 13,
x = 144
So, the number of green jelly beans in numeric value is :
⇒ 12 × 144
⇒ 1728
Thus, The number of green jelly beans is 1728.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22
Answer:
Step 1: Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Step-by-step explanation:
What is m angle A? Enter your answer in the box.
Answer:
ANSWER: 22
Step-by-step explanation:
hope it helps thankks
Answer:
I agree with the person above
2x to the power of -2
the answer is apparently 2 over x squared
explain this
Answer:
See Below
Step-by-step explanation:
When you have a negative exponent, you divide by the exponent hence the flipping. Here is an example to make it easier to explain. Below are some power of ten:
[tex]10^3=1000\\10^2=100\\10^1=10\\10^0 =1\\10^{-1}=\frac{1}{10} =\frac{1}{10^1} \\10^{-2}=\frac{1}{100} =\frac{1}{10^2}[/tex]
When you go from an exponent to the one below it, you divide by the base. For example, to go from [tex]10^3[/tex] to [tex]10^2[/tex], you divide by ten. This is the same principle used to find the values of negative exponents. [tex]10^0[/tex] is [tex]10^1[/tex] divided by 10, so [tex]10^{-1}[/tex] should be [tex]10^0[/tex] divided by ten. [tex]10^0[/tex] is 1, making the value of [tex]10^{-1}[/tex] as [tex]\frac{1}{10}[/tex]. When you divide by ten, you multiply by [tex]\frac{1}{10}[/tex], this effect makes the exponent stack on the bottom and correspond to the magnitude of the power.
For this specific example, we can write:
[tex]2x^{-2}[/tex]
We are raising x to the power of negative 2, so we can say it is the same as [tex]\frac{1}{x^2}[/tex]. We are also multiplying by 2, so that's how we get [tex]\frac{2}{x^2}[/tex]
If you need more of a visual, here are the powers of x:
[tex]x^2\\x^1=\frac{x^2}{x} \\x^0=\frac{x^1}{x}=1 \\x^{-1}=\frac{1}{x} \\x^{-2}=\frac{x^{-1}}{x}=\frac{1}{x*x}=\frac{1}{x^2}[/tex]
And we just multiply 2 times the value of [tex]x^{-2}[/tex].
Hope this helps.
The area A of a circle is given by the formula: A = pie r ² If the radius of the circle is 7 inches, find the area of the circle
Answer:
49 pi in^2 or approximately 153.86 in^2
Step-by-step explanation:
A = pi r ²
Let r = 7
A = pi 7 ²
A = 49 pi
If we approximate pi by 3.14
A is approximately 153.86 in^2
An ellipse is graphed. Which statements about the ellipse are true? Select three options.
Answer:
The true statements are;
1) The center of the ellipse is at (-2, -5)
3) The covertices are at (-2, -4) and (-2, -6)
4) The distance between the center and each focus is 2·√6 units
Step-by-step explanation:
The given graph of the ellipse gives;
1) The location of the center of the ellipse = (-2, -5)
2) The location of the vertices of the ellipse = (-7, -5) and (3, -5)
The distance between the center (-2, -5) and each vertex, d, is given as follows;
d = -2 - (-7) = 5 and d = 3 - (-2) = 5
Therefore, the distance between the center (-2, -5) and each vertex is 5 units
3) The location of the covertices, given in the diagram are (-2, -4), and (-2, -6)
4) The coordinates of the focus of an ellipse = h - c, k
c = √(a² + b²)
Where, for the given ellipse, h = -2, k = -5, c = √(5² - 1²) = √(24) = 2·√6
∴ The location of the focus of the ellipse = (-2 - 2·√6, -5)
The distance between the center and each focus, d = -2 - (-2 - 2·√6) = 2·√6
5) The x-coordinate of the directrices of the ellipse = ± a/e
Where; a = 5
b² = a²·(1 - e²)
∴ e² = 1 - b²/a² = 1 - 1/25 = 24/25
e = 2·√6/5
The directrices = -2 ± 5/(2·√6/5) ≈ -2 ± 5.1
The distance between the center and the directrices ≈ 5.1 units
Therefore, the directrices are vertical lines approximately 5.1 units from the center
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
please please someone help!! im confused on the parentheses part. i will give brainliest and 20 points
Answer:(first term)
a=27(4th term)
T4= a x r^3 = 64
substituting a as 27 in T4
27 x r^3 = 64
r^3 = 64/27
r=4/3
so; a=27, r=4/3
using the general formula of geometric progression,
a x r^n-1
substitute:.
27 x 4/3^n-1
= 27(4/3)^n-1
Answer: (C) HOPE THIS HELPS!
WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)
Answer:
(4, -4)
Step-by-step explanation:
Using the midpoint formula;
M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}
X = (ax1+bx2)/a+b
Y = (ay1+by2)/a+b
Substitute
X = 4(2)+2(8)/4+2
X = 8+16/6
X = 24/6
X = 4
Also
Y = 4(-3)+2(-6)/6
Y = -12-12/6
Y = -24/6
Y = -4
Hence the required partition is (4, -4)
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
Simplify the following surd expressions
a) 7V3 - 2V3 + V3 - 3V3
b) 5V7 +4V7 – 8V7
Step-by-step explanation:
[tex]a) \: 7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3 \sqrt{3} [/tex]
[Taking sq.root 3 common]
[tex] = (7 - 2 + 1 - 3) \sqrt{3} [/tex]
[tex] = (8 - 5) \sqrt{3} [/tex]
[tex] = 3 \sqrt{3} (ans)[/tex]
[tex]b) \: 5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} [/tex]
[Taking sq.root 7 common]
[tex] = (5 + 4 - 8) \sqrt{7} [/tex]
[tex] = (9 - 8)\sqrt{7} [/tex]
[tex] = 1 \sqrt{7} [/tex]
[tex] = \sqrt{7} (ans)[/tex]
Sal knows the volume of a cylinder is 500 cubic units. He wants to create a cylinder with twice the volume. Which variation of the original cylinder will have a volume of exactly 1,000 cubic units?
Please help me with this question.
Answer:
Step-by-step explanation:
736
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
(0.5, -3.5)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-2 + 3 / 2, -5 - 2 / 2)
(1/2, -7/2)