Answer:
x ≈ 2.34373881
Step-by-step explanation:
A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3
Answer:
x2 - 4x - 21
Step-by-step explanation:
Area = (x -7 )(x +3)
= x*x - 7*x + x*3 - 7*3
=x2 - 4x - 21
Need Help ASAP only correct answers. Working on it now. Took a picture. question: Figure ABCDE is the result of a 180° rotation of figure LMNOP about the point. Which angle in the pre- image corresponds to <D in the image? Enter your answer in the box.
Answer:∠M in the pre-image corresponds to ∠B in the image.
Step-by-step explanation:
When we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N ,O .
Clearly , vertex C corresponds to vertex N ( presents in the middle )
Also, point B is at the right from point C .In Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.
It means ∠M in the pre-image corresponds to ∠B in the image.
brain list this answer thankyou:)
What is the solution of the inequality shown
below?
c+2 < -1
Answer: c < -3
Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.
Since 2 is being added to c, subtract
2 from both sides of the inequality.
On the left, the +2 and -2 cancel out
and on the right, -1 - 2 is -3.
So we end up with c < -3.
I have also graphed this for you below.
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
factorise 2x cube minus 3 x spuare minus 17 X + 30
hello,
here is your answer:
**********
2x³ - 3x² - 17x + 30
(2x³ - 3x²) (- 17x + 30) [group the terms]
(2×x×x×x - 3×x×x) (1×-17×x + 1×30) [find common factors]
x² (2x - 3) 1 (-17x + 30) [separate the common factors]
ans: x² (2x - 3) 1 (-17x + 30)
You can verify the answer by multiplying it, you should be able to get the expression we started with (2x³ - 3x² - 17x + 30).
**********
hope this helped,
:)
What is the value of x?
8
70°
Enter your answer in the box.
30
10
X=
The probability of a certain event A occurring is 3:5, the probability of event B occurring is 2:5, and the probability of them occurring together is 6:25. What is true about the two events?
A.Event A is dependent on event B.
B.Event B is dependent on event A.
C.Events A and B are independent events.
D.Events A and B are mutually exclusive.
Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
The MARS Candy Company claims that every 1.69 oz. bag of Plain M & M's has 54 M & M's in it. To test this claim, you buy 50 packs of 1.69 oz. plain M & M's and found that the average number of M & M's of the sample was 49. State the null hypothesis.
The mean 1.69 oz. bag of plain M&M's has 54 M&M's or greater
The mean 1.69 oz. bag of plain M&M's has less than 54 M&M's
The mean 1.69 oz. bag of plain M&M's has 50 M&M's or greater
The mean 1.69 oz. bag of plain M&M's has 49 M&M's or greater
the answer would be either bnor c
Write a problem that could be modeled with y = 200(0.9)^x
Answer:
Step-by-step explanation:
A new TV sells for $200. Every year, the TV loses 10% of the initial value.
4x2 + 4x =- 4
Find the solutions to the Quadratic equation.
Answer:
x=-3
Step-by-step explanation:
(4)(2) + 4x = -4
multiply the 4 and 2
8 + 4x = -4
subtract 8 from both sides
4x = -12
divide both sides by 4
x = -3
Answer:
x = 1/2
Step-by-step explanation:
Step 1: Isolate x's
4x² - 4x + 1 = 0
Step 2: GCF
4(x² - x + 1/4) = 0
x² - x + 1/4 = 0
Step 3: Factor
(x - 1/2)² = 0
Step 4: Solve
√(x - 1/2)² = √0
x - 1/2 = 0
x = 1/2
And we have our final answer!
Step-by-step explanation:
List three values that are solutions to the inequality 2x ≥ 10
Answer:
x=5 x=8 x=10
explanation:
anything greater than 5 would make the inequality true because 5×2=10
What is 1/4 of 697 rounder to the nearest integer
Answer:
rounder to the nearest integer is 174
Step-by-step explanation:
1/4 of 697 = 174.25
0.25 is under 0.50
Answer:
174
Step-by-step explanation:
What is the measure of angle x
Answer:
x =83
Step-by-step explanation:
supplementary angles add to 180 degrees
x+y = 180
We know y is 97
x+97= 180
Subtract 97 from each side
x+97-97= 180-97
x =83
Answer:
It is 83
Step-by-step explanation:
Supplementary is 180 degrees
180-97=83
Suppose (12, 8) and (4, 6) are the endpoints of a diameter of a circle. Which is an equation of the circle?
Answer:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
Step-by-step explanation:
The formula for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center and r is the radius of the circle.
To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:
[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]
The points given are (12,8) and (4,6), so plug in the coordinates into the formula.
Center = (1/2)(12+4),(1/2)(8+6)
= (8,7)
Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:
[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]
Radius = √(x₂- x₁)² + (y₂-y₁)²
= √(12- 8)² + (8-7)²
= √(4² + 1²) = √(16+ 1) = √17
= r² = 17
Now that the radius and the center are known, the equation of the circle can be written as:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
What is the constant of proportionality between y and x in the graph
Answer:
I think its 2
Step-by-step explanation:
I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2
Hope this helps Ask if i am wrong Brainliest plz(3x+20)=(5x-16) Find the value of X
Answer:
x = 18
Step-by-step explanation:
3x + 20 = 5x - 16
Subtract 20 from both sides
3x + 20 - 20 = 5x - 16 -20
3x = 5x -36 {Now subtract 5x from both sides}
3x - 5x = 5x - 36 +5x
-2x = -36 {Divide both sides by (-2)}
-2x/-2 = -36/-2
x = 18
Step-by-step explanation:
(3x+20)=(5x-16)
combination of like terms
3x-5x= -16-20
-2x= -36
x= -36/-2
x=18
Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?
Answer:
42
Step-by-step explanation:
3(x+x+6)=270
3(2x+6)=270
6x+18=270
6x=252
x=42
Can I get an example of systems of equations that represent the solution of this situation below? (It doesn't need to be solved.) Thank you! ^ ^
"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito)
Answer:
x + y = 11
10x + 5y = 80
Step-by-step explanation:
What is the surface area of the rectangular prism?
Answer:
A = 348
Step-by-step explanation:
The formula for finding the surface area of a rectangular prism is:
A = 2(wl + hl + hw)
Plug in the numbers accordingly:
A = 2(6 · 9 + 8 · 9 + 8 · 6)
A = 2(54 + 72 + 48)
A = 2(174)
A = 348
Determine whether each table defines the variable b as a function of the variable a select yes or no for each table
Answer:
no
no
yes
Step-by-step explanation:
the first two tables have inputs which solve for more than one output which means they are not functions
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
*pls help*
solve 7,8,9, and 10 for brainliest
Answer:
#8 : x=15−y
#9: [tex]\frac{c}{b} -\frac{ax}{b}[/tex]
#10: y=2A−x
#7: T=[tex]\frac{P}{IR}[/tex]
Step-by-step explanation:
When 40% of a number is added to twice the number, the result is 88. What is the number?
Answer:
36.67 or 36 and 2/3
Step-by-step explanation:
.4x + 2x = 88 divide by .4
x + 5x = 220 add like terms
6x = 220 divide by 6
x = 36.67 or 36 and 2/3
As of 2008 the worlds population was about 6.7 billion people. The population of the United States in 2008 was 305 million. In 2008 what percent of the world’s population was the US population?
Answer:
In 2008 the US population was 4.55% of the world population.
Step-by-step explanation:
In order to calculate the percent of the world population that represents the US population, we can apply a rule of three in such a way that the world population is related to 100% in the same proportion that the US population is related to x%. We then solve for x. This is shown below:
6.7*10^9 -> 100%
305*10^6 -> x%
6.7*10^9 / 305*10 ^6 = 100 / x
6.7*10^3 / 305 = 100 / x
(6.7*10^3)*x = 305*100
x = 30500 / (6.7*10^3)
x = 4,55 %
In 2008 the US population was 4.55% of the world population.
Answer: 6.76 109
Step-by-step explanation:
yoyoyoyooyyoyoyoyyyoy I need help plz someone
Answer:
14 units, 19.8 units (3 s.f.)
Step-by-step explanation:
To find the length of each side of the square ABCD, find the length of AB.
Refer to the picture attached.
AB= AX +XB
Let's find the length AX first.
(see triangle AXY)
Applying Pythagoras' Theorem,
(AX)² + (XY)² = (AY)²
(AX)² +12²= 13² (subst. known values)
(AX)²= 169 -144 (move constant to 1 side)
(AX)²= 25 (simplify)
AX= √25 (square root both sides)
AX= 5 units
Now, let's find the length of XB.
(see triangle BXY)
Applying Pythagoras' Theorem,
(XB)² + (XY)²= (BY)²
(XB)² +12²= 15²
(XB)²= 225 -144 (bring constant to 1 side)
(XB)²= 81 (simplify)
XB= √81 (square root both sides)
XB= 9 units
AB
= 5+9
= 14 units
Therefore, length of each side of square ABCD= 14 units
To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).
Since squares have equal sides, AD= DC= 14 units
Applying Pythagoras' Theorem,
(AC)²= (AD)² +(DC)²
(AC)²= 14² +14² (subst. known values)
AC= √392 (simplify)
AC= 19.8 units (to 3 s.f.)
math question down below
Answer:
560 is the area
Step-by-step explanation:
20x10 = 200 + the 30x12 = 560 comment if you need further explanation
Which is a solution to 2x + 1 = 21?
Answer:
x = 10 is your answer
- Explain -
Step 1: subtract 1 from both sides (subtraction of equality)
which will give us:
2x = 21 - 1
which equals to
2x = 20
Step 2: Divide both sides by 2
which is
2x/2 = 20/2
2/2 = 1 and 20/2 = 10
Therefore the answer is x = 10
Brice has twice as many stamps in his collection as his friends Anthony and Paul
combined. Paul has 32 stamps in his collection Brice has 96 stamps in his
collection. How many stamps does Anthony have in his collection?
The equation 2(x +32)=96 models this situation. Which choice
shows the sequence of operations needed to solve this problem, using
both arithmetic and algebra?
Answer:
It would be the first one in the picture
Step-by-step explanation:you would divide 96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16. plz give brainly
The profit y from selling x muffins can be represented by a linear function. The profit from selling 5 muffins is $4.
The profit from selling 7 muffins is $8. What is the slope of the line represented by the data?
a. 1/2 b. 1 c. 4/5 d. 2
Answer:
A
Step-by-step explanation:
5 divided by 4 is 1.2
help me please thank you
Answer:
B C E
Step-by-step explanation:
Look at the attachment
