Answer:
x = 0 or x = 4
Step-by-step explanation:
x² + y² = 25 and y = -2x + 5
Here,
x² + y² = 25 ...(1)
Now,
Put the value of y = -2x + 5 in equation (1)
we get,
x² + (-2x + 5)² = 25
x² + {(-2x)² + 2(-2x) (5) + (5)²} = 25
x² + {4x² - 20x + 25} = 25
x² + 4x² - 20x + 25 = 25
5x² - 20x = 25 - 25
5x² - 20x = 0
5x(x - 4) = 0
5x = 0 or x - 4 = 0
x = 0/5 or x = 4
x = 0 or x = 4
Answer:
x = 0, x = 4
Step-by-step explanation:
I hope its helpful
he curb weight of a new car is 3,347 pounds. How much does the car weigh?
Answer:
Step-by-step explanation:
I think it is 3,347. Because the curb weight is just the car without humans
Given that the curb weight of a new car is = 3347 pounds
Now we have to find the correct choice for the given weight of the car.
Given value is in pound while the choices are in ton.
Units are different so first task will be to get same units.
We know that 1 ton = 2000 pound
so to convert 3347 pound into ton, we will divide 3347 by 2000 and get 1.6735 ton.
Which lies between 1 and 2.
Hence final answer will be (c) between 1 and 2 tons.
Tracy has a cell phone plan that provides 250 free minutes each month for a
flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute.
Which of the following piecewise functions represents charges based on
Tracy's cell phone plan?
29,45 250 1
O A. f(x) =
| 35x,x > 250)
B. f(x)=
29.x < 250
129+ 35x, x > 250)
O C. f(x)={ 29, x>250
129+. 35x, x5 250
29,7 $250
O D. f(x) =
129+.35(x-250),x > 250)
Answer:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]
Step-by-step explanation:
If we call "x" the number of call minutes used with this plan, the piecewise function used to describe it must represent;
a) a constant value of 29 for any x value smaller than or equal to 250
b) a line with positive slope of 0.35 for the region with x larger than 250. The mathematical representation of such increasing straight line, should be given by a line of slope m = 0.35, and containing the point (250, 29) which is the starting point for this right hand side portion of the domain:
[tex]f(x)=0.35(x-250)+29\\f(x)=0.35 x-87.5+29\\f(x)=0.35 x-58.5[/tex]
So the function should look like:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.[/tex]
or as shown above, in a more simplified form:
[tex]f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {0.35x-58.5\,\,\,for \,\,x>250}} \right.[/tex]
One tool used in genetics is called a pedigree chart,are there any advantages to using this tool?The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.
Answer:
A = 236,000 (1.04)^t
population in 2009 : 335,902 people
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) = 4/100 = 0.04
t= years passed from 2000
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04)^t
A = 236,000 (1.04)^t
Population in 2009.
t = 2009-2000 = 9
A = 236,000 (1.04)^9
A = 335,902 people
Feel free to ask for more if needed or if you did not understand something.
HELPPPP PLEASE To make an international telephone call, you need the code for the country you are calling. The codes for country A, country B, and C are three consecutive integers whose sum is 78. Find the code for each country.
Answer:
25, 26, 27
Step-by-step explanation:
78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,
The codes for each country are 25, 26 and 27.
What are integers?Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Let three consecutive integers are n-1, n, n+1.
Then,
the sum of three consecutive integers is 78.
According to the question,
n - 1 + n + n + 1 = 78
3n = 78
n = 26
The integers are 25, 26 and 27.
Therefore, integers are 25, 26 and 27.
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Find the circumference of a circle with a diameter of 15 inches... Round to the nearest tenth and include units in your answer... SHOW WORK
Answer:
47. 1 inches ; where inches ⇒ units
Step-by-step explanation:
Consider the Circumference as such;
[tex]Diameter - 15 inches,\\Circumference - 2\pi r, r - radius,\\\\2\pi r = \pi d, d - diameter ( considering, 2 * r = diameter )\\\\Circumference = \pi * d = \pi * diameter = \pi * 15 = ( About ) 47.1 inches\\Solution; Circumference = ( About ) 47.1 inches[/tex]
From this we can tell that ⇒ Answer; 47. 1 inches, where inches - units
Answer:
47. 1
Step-by-step explanation:
The equation for the circumference of a circle is C = pi X diameter.
a cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z
Step-by-step explanation:
x:y=3:7
x+y=180
3+7=10
180/10=18
to find x
18*3=54
x+10+z=180
54+10+z=180
64+z=180
z=180-64
z=116°
The measure of angle z of the cyclic quadrilateral will be 116 degrees.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.
A cyclic quadrilateral is shown.
x / y = 3 / 7
y = 7x / 3
We know that the sum of the opposite angles of the cyclic quadrilateral is 180 degrees. Then the equation will be
x + y = 180°
x + 7x/3 = 180°
10x/3 = 180°
x = 54°
Then another equation is given as,
x + 10° + z = 180°
54° + 10° + z = 180°
z = 116°
The measure of angle z of the cyclic quadrilateral will be 116 degrees.
More about the cyclic quadrilateral link is given below.
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The complete question is attached below.
Eleven students are competing in an art contest. In how
many different ways can the students finish first,
second, third, and fourth?
Hi there
I think I may have the answer for you!
Answer:
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
Please make sure to check my answer and mark it/
Jake
There are 7,920 different ways can the students finish first, second, third, and fourth.
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.
Given that;
Eleven students are competing in an art contest.
Now,
Since, Eleven students are competing in an art contest.
Hence, We get;
Number of ways = 11 x 10 x 9 x 8
= 7,920
Thus, There are 7,920 different ways can the students finish first, second, third, and fourth.
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Eva is making a pattern using these shapes can you arrange Evas shapes to make a symmetrical pattern
Answer:
pyramid, cone, sphere, cube
Step-by-step explanation:
A symmetrical pattern is one that is arranged in such a way that there is a progressive repetition of a pattern. Each pattern formed is the same with respect to each other.
Eva could form series symmetrical patterns with the shapes he has, which depends on the arrangement of the shapes to form desired pattern.
One simple pattern to be formed is;
pyramid, cone, sphere, cube
pyramid, cone, sphere, cube
pyramid, cone, sphere, cube
pyramid, cone, sphere, cube.
Thus, this would generate four symmetrical continuous patterns.
pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube : pyramid, cone, sphere, cube.
The circle shown below has a diameter of 22 centimeters. What is the
approximate area of the shaded sector?
A. 317 cm2
B. 1204 cm2
o
C. 301 cm2
D. 602 cm2
2859
Answer: c. 301 cm2
Step-by-step explanation: a p e x
3.
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
18 ft
0%
8 ft
2 ft
Drawing not to scale
0%
4.5 ft
Answer:
4.5 ft
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The first option is our answer = 4.5 ft
c. Based on these definitions, if you were given that f(2) = 17, what would the value of f-1(17) be? Explain your answer.
Answer:
-8.5
Step-by-step explanation:
17/2 = 8.5
f = 8.5
f -1(17) = 8.5 -17 = -8.5
-8.5 is your answer
The value of [tex]f^{-1}(17)[/tex] is 2.
How to find the value of any inverse Function in x -From the definition of function we know that if f(x) = y , where x and y are two real values having range of (-∝,+∝) , then
[tex]f^{-1}(y) = x[/tex]
Thus in the problem, it is given that f(2) = 17 .
Using the above identity, we can find the value of [tex]f^{-1}(17)[/tex]
∴ [tex]f^{-1}(17) = 2[/tex]
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The lunch lady has 4 pounds of lasagna. If she makes 1/3-pound servings using this amount of lasagna, how many servings can she make?
Can someone help please?
Answer:
One sec
Step-by-step explanation:
Answer:
Step-by-step explanation:
y-4x=1
it crosses y-axis where x=0
y-4(0)=1
y=1
so point is (1,0)
y=2x+c
∵(0,-3) lies on it.
-3=2(0)+c
c=-3
so y=2x-3
∵(k,10) lies on it.
10=2k-3
2k=13
k=13/2
Determine the area of the parallelogram
below.
8 cm
2.8 cm
Answer:
22.4 cm^2
Step-by-step explanation:
Area of a parallelogram= base x height
or bxh
here base is 8cm and height is 2.8cm so,
Area = 8x2.8
= 22.4 cm^ 2
Solve for a. ab+ c =d
Answer:
[tex]\frac{-c+d}{b}[/tex]
Step by Step:
Step 1: Subtract c from both sides:
ab + c + (−c) = d + (−c)
ab = −c + d
Step 2: Divide both sides by b:
[tex]\frac{ab}{b} = \frac{-c+d}{b}[/tex]
Step 3: Simplify:
a = [tex]\frac{-c+d}{b}[/tex]
Xavier and Jeanine each worked a shift today, selling tickets to the school fair for $ 12
each. Xavier worked the first shift. During Jeanine's shift, she sold 8 tickets. At the end
of the day, the total amount of money from tickets sold was $240. Which equation could
be used to determine x, the number of tickets Xavier sold ?
A. 12(X + 8) = 240
B. X(12 + 8) = 240
C. 12 + 8x = 240
D. 12x + 8 = 240
Answer: 12(X+8)=240
Step-by-step explanation: We then would have to do the distributive property and you end with 12x+96=240
Subtract 96 from each side
Then you end with
12x=144
You then divide 12 from each side and see that X=12!
Hope this helps
P.S. It would mean a lot if you marked brainliest
A. (-2,1); minimum
B. (-2,1; maximum
C.(1,-2); minimum
D.(1,-2); maximum
I need help pls
Answer:
-2, 1 Maximum
Step-by-step explanation:
What is the solution to the inequality Ix-4| <3
-7
1
X<-7 or x < -1
x> 1 or x<7
Answer:
see explanation
Step-by-step explanation:
Inequalities of the form | x | < a have solutions of the form
- a < x < a
Given
| x - 4 | < 3 , then
- 3 < x - 4 < 3 ( add 4 to the 3 intervals )
1 < x < 7
Thus x > 1 or x < 7
The solution of the given inequality is x < 7 or x > 1.
To solve the inequality Ix - 4| < 3, we can break it down into two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: x - 4 > 0
In this case, we don't need to consider the absolute value because the expression inside it is already positive.
So we have:
x - 4 < 3
Adding 4 to both sides:
x < 3 + 4
x < 7
Case 2: x - 4 < 0
In this case, the expression inside the absolute value is negative, so we need to negate it when removing the absolute value. Therefore, we have:
-(x - 4) < 3
Expanding the negation:
-x + 4 < 3
Subtracting 4 from both sides:
-x < 3 - 4
-x < -1
Dividing both sides by -1 and flipping the inequality sign:
x > 1
Combining the results from both cases, we have the solution:
x < 7 or x > 1
In interval notation, the solution is (-∞, 1) U (7, +∞).
Hence the solution of the given inequality is x < 7 or x > 1.
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PLZ helppppppppp will mark of brainlest Each unit on the graph is equal to 1 block.
How many blocks does Ben need to walk from his house to reach the supermarket? A. 4 blocks B. 5 blocks C. 7 blocks D. 9 blocks
Answer:
9 blocks
Step-by-step explanation:
The answer is D, 9.
Just count the blocks.
Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i
Answer:
The distance between the two given complex numbers = 9
Step-by-step explanation:
Explanation:-
Step(i):-
Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i
Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane
⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and
B = Z₂ = x₂+ i y₂ = 10 -9 i
Let (x₁ , y₁) = ( 9, -9)
(x₂, y₂) = (10, -9)
Step(ii):-
The distance between the two points are
A B = [tex]\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }[/tex]
A B = [tex]\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }[/tex]
AB = [tex]\sqrt{(9)^{2} +(-9+9)^{2} }[/tex]
AB = √81 = 9
Conclusion:-
The distance between the two given complex numbers = 9
Answer:
1
Step-by-step explanation:
Just finished Quiz 4: Complex Numbers, of which this was one of the questions.
the circumference of a circle is 60pi cm. What is the radius of the circle ?
Answer:
30 cm
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
60pi = 2* pi *r
Divide each side by 2pi
60/2pi = 2 pi r/ 2pi
30 =r
Answer:
Step-by-step explanation:
circumference , c = 60[tex]\pi[/tex] cm
we know circumference of a circle = 2[tex]\pi[/tex]r
ie 2*[tex]\pi[/tex]*r=60[tex]\pi[/tex]
ie 2r=60
radius = 30cm
hope it helps you..
In the decimal number 2.693, what number is in the hundredths place?
Answer:
9 in hundredths place
Step-by-step explanation:
2.693 count from 6 in tenth and 9 in hundredths
Answer:
9
Step-by-step explanation:
2.693
2 is the ones place
the . is the decimal point
6 is the tenths place
9 is the hundredths place
3 is the thousandths place
Given l\\m and m<1= <60 and m1 = 60°, select all angles that are also equal to 60°.
8
2
6
7
5
4
Answer:
Angle 2, angle 3 and angle 4 will measure 60°
Step-by-step explanation:
From the figure attached,
'l' and 'm' are parallel lines and 't' is the transverse line.
m∠1 = m∠2 = 60° [Vertical angles]
m∠1 = m∠3 = 60° [Corresponding angles]
m∠1 = m∠4 = 60° [Alternate exterior angles]
Therefore, angle 2, angle 3 and angle 4 will measure the same as angle 1.
Help please read directions
Answer: - 1 3/4
Step-by-step explanation: You have to keep the first number and flip the second number, and you end with -1 3/4
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To make a pizza, I want to pick one type of crust, 1 type of sauce, and 1 type of topping. There are 3 crust types, 3 sauce types, and 9 toppings. How many different pizzas can I make?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
I believe you just multiply all the values together
3 x 3 x 9 = 81
You can make 81 different pizzas
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The number of different pizzas Can I make is 81.
Given that,
I want to pick one type of crust, 1 type of sauce, and 1 type of topping.There are 3 crust types, 3 sauce types, and 9 toppings.Based on the above information, the calculation is as follows:
[tex]= 3\times 3\times 9[/tex]
= 81
Therefore we can conclude that The number of different pizzas Can I make is 81.
Learn more: brainly.com/question/17429689
Simplifying exponents (picture provided)
Answer:
3^2 ; Option B
Step-by-step explanation:
We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;
[tex]3^{ - 6 } * ( 3^{ 4 } / 3^{ 0 } )^{2} - take 3^{ 0 } as 1,\\\\3^{ - 6 } * ( 3^{ 4 } / 1 )^{2} - take 3^{4} to power of 2, ( * of exponents ),\\\\3^{ - 6 } * ( 3^{ 8 } ) - combine powers, adding exponents,\\\\3^{ - 6 + 8 } - add like terms,\\\\3^{2} \\\\Solution; 3^{2}[/tex]
3^2 ; Option B
Answer:
The answer would be [tex]3^{2}[/tex].
Step-by-step explanation:
-Solve the following equation:
[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]
-When dividing integers, the exponents would subtract each other. So, you subtract exponent [tex]0[/tex] and [tex]4[/tex]:
[tex]3^{-6} \times ( 3^{4} \div 3^{0})^{2}[/tex]
[tex]3^{-6} \times ( 3^{4})^{2}[/tex]
-Simplify [tex]3^{4}[/tex] by the exponent [tex]2[/tex]:
[tex]3^{-6} \times ( 3^{4})^{2}[/tex]
[tex]3^{-6} \times 3^{8}[/tex]
-When multiplying integers, the exponent would add up together. So, you would add [tex]-6[/tex] and [tex]8[/tex]:
[tex]3^{-6} \times 3^{8}[/tex]
[tex]3^{2}[/tex]
So, the answer is [tex]3^{2}[/tex].
Solving Quadratics by Factoring
Jon 18, 6:16:26 PM
Solve for all values of x by factoring.
x2 + 6x – 4 = 3x + 6
Answer:
Submit Answer
Answer:
x=2 and x=-5
Step-by-step explanation:
factoring the equation
x^2+6x-4-3x-6=0
x^2+3x-10=0
(x-2)(x+5)=0
x=2 and x=-5
I keep getting 13.4 which I'm not sure is right.
Answer:
Correct
also can u mark as brainliest Please I just need one moreeee
Step-by-step explanation:
Tony has 2/4 of a bag of dark chocolate chips and 4/5 of a bag of white chocolate chips. determine a reasonable estimate of the total amount of chocolate chips Tony has.
Answer:
about 1 and 3/10
Step-by-step explanation:
i may be wrong
tell me if i am wrong
sorry
Can someone please answer?
Answer:
I think it's <-3,-5>
also, you may want to delete the picture somehow since your email address is showing in you top tabs...
