Answer:
Step-by-step explanation:
y = x + 1
y = 3x - 2
3x - 2 = x + 1
2x - 2 = 1
2x = 3
x = 3/2 or 1.5
y = 1.5 + 1
y = 2.5 or 2 1/2
(1.5, 2.5)
Answer:
(1.4,2.5)
Step-by-step explanation:
Graphing
As we can see from the attached graphe, the intersection of the two lines, namely the solution, is (1.5,2.5).
So the closest approximation from the list is (1.4,2.5)
What are the excluded values?
Answer:
y = 0
z = 5
Step-by-step explanation:
Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.
PLEASE ANSWER WILL MARK BRAINLIEST PLEASE ASAP -6/5-2/3v+4/15+1/3v
I'm assuming that you want me to solve for v, so I'll do that.
-6/5 - 2/3v + 4/15 + 1/3v
step 1: we have to make sure that the two fractions have the same denominator, so when they have the same denominator, the equation will look like this:
-18/15-2/3v+4/15+1/3v
step 2: so now, we can solve and say that -18/15+4/15 = -14/15
step 3: our equation now looks like this: -14/15 - 2/3v + 1/3v. we can tell that the two v's have the same denominator so you can solve them.
-2/3v + 1/3v = -1/3v
step 4: -14/15 - 1/3v = 0
-14/15 - 1/3v + 1/3v = 1/3v (we're doing this because we need to get -1/3 to the other side of the equal sign and as soon as we do, the sign switches).
IF YOU DON'T WANT TO FIND THE V, YOUR ANSWER IS -1/3v - 14/15If you want to find v, then, your answer is: v = -14/5Please make this the Brainliest if it helped! Thanks :)
The solutions of the equation x^2-6x+4=0 can be written as ± √b, where a and b are prime numbers. Solve x^2-6x+4=0 to find the values of a and b
Answer:
a = 3, b = 5
Step-by-step explanation:
Given
x² - 6x + 4 = 0 ( subtract 4 from both sides )
x² - 6x = - 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 4 + 9
(x - 3)² = 5 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{5}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{5}[/tex] ← in the form a ± [tex]\sqrt{b}[/tex]
with a = 3 and b = 5
The values of a and b is 3 and 5
Value of a = 3
Value of b = 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
x² - 6x + 4 = 0
Now , on simplifying the equation , we get
x² - 6x = -4
Adding 9 on both sides , we get
x² - 6x + 9 = -4 + 9
x² - 6x + 9 = 5
Now , the left hand side of the equation can be factorized as
x² - 3x - 3x + 9 = 5
x ( x - 3 ) - 3 ( x - 3 ) = 5
( x - 3 )² = 5
On taking square root on both sides of the equation , we get
x - 3 = ±√5
Adding 3 on both sides , we get
x = 3 ± √5
So , the value of a = 3 and value of b = 5
Hence , The values of a and b is 3 and 5
Value of a = 3
Value of b = 5
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I need help fast!!! pls help will mark BRAINLIEST
Answer:
the y intercept is same for both
Step-by-step explanation:
that is the only answer
Answer:
Last 2 choices
Step-by-step explanation:
Points on the graph:
(-2, 4) and (0, -4)
y=mx+bm= (y2-y1)/(x2-x1)=(-4-4)/(0+2)= -4y= -4x+bTo find b, using the first point
b= y+4x= 4-2*4= -4So the equation for the graph is:
y= -4x-4=============
1. The slope is positive. no, it is -4 for both
2. Lines are same, so answer is no
3. yes
4. yes
What is the approximate area of the circle shown below?
Answer:
A is approximately 201 cm^2
Step-by-step explanation:
The diameter of the circle is 16 so the radius is 1/2 of the diameter
1/2 * 16 = 8
The area of the circle is
A = pi r^2
A = 3.14 * 8^2
A =200.96 cm^2
A is approximately 201 cm^2
Answer:
it should be 201.062
Step-by-step explanation:
area of a circle is pi times the radius to the power of 2.
factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)I really need help, someone please help me
Answer:
18.84 meters.
Step-by-step explanation:
The formula for a circle is πr^2.
πr^2 = 28.26
3.14 * r^2 = 28.26
r^2 = 9
r = plus or minus 3.
But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.
The formula for the circumference is 2πr.
2 * 3.14 * 3 = 6 * 3.14 = 18.84.
So, the circumference of the circle is 18.84 meters.
Hope this helps!
3 * 9 + (6 + 5 – 3) – 12 : 4 =
Answer:
23,4
Step-by-step explanation:
i need help can you answer this
Answer:
Hey there!
6(7-4n)
42-24n
-24n+42
Hope this helps :)
Answer:
42-24n
Step-by-step explanation:
(7-4n)6
42-24n
-24n+42
Hope this helps ;) ❤❤❤
WILL MARK BRAINLIEST!!! PLZ HELP!!!
Answer:
Hello There. ☆~---__●▪●__---☆~ What, you got is the Correct answer. Function 1. written in the vertex of (-1,-3) Function 2. Has, a vertex of (-1,-3) Therefore, Function 1. Has a least minimum value with coordinates (-1,-3). And, the correct the correct answer A.
Hope It Helps!~ ♡
ItsNobody~ ☆
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
XSD3
X=-1
X30
x%3D3
Answer:
No solution
Step-by-step explanation:
2(x-3)+9=3(x+1)+x Distribute on both sides
2x-6+9=3x+3+x Combine like terms on both sides
2x+3=4x+3
-3 -3 Subtract 3 from both sides
2x=4x
-2x -2x Subtract 2x
0=2x There is no solution because there is no value of x to make the equation true.
What is the y-intercept of the function f(x) = –2/9x + 1/3?
Answer:
The y-intercept is 1/3
Step-by-step explanation:
The y-intercept of the function is 1/3 because if u put into form y=mx+b then the b is the y-intercept.
Answer:
1/3
Step-by-step explanation:
For this formula you look at the b value from the formula y = mx + b where in this case b = 1/3
Given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system? (2 points)
HELP PLZZZZZZZ!!!!!!!!!!
Answer:
Tan B = AC/ BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
Tan B = AC/ BC
The useful life of an electrical component is exponentially distributed with a mean of 1000 hours a. What is the probability the circuit will last more than 2000 hours?
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
a cyclist travels 3 miles in 15 minutes. what is her average speed in mph
Answer:
12 mph
Step-by-step explanation:
If she travels 3 miles in 15 minutes she travels 3 * 4 = 12 miles in one hour so the answer is 12 mph.
Answer:
Your average speed was 12.0 Miles per hour (mph)
Step-by-step explanation:
Time spent
0
hours
15
minutes
0
seconds
How much distance did you cover during that time?
3
Stefan makes a cuboid that is 5 cm longer, 5 cm taller and 5 cm wider than Amina's cuboid. What is the difference between the number of cubes in Amina's and Stefan's cuboids? animas cuboid is 4x6x3
Answer: Stephan's cuboid has 90 cubes more than that of Amina
Step-by-step explanation: As stated in the question, Amina's cuboid has dimensions given as 4 cm by 6 cm by 3 cm. That means Amina's cuboid has a total volume of
Volume = L x W x H
Volume = 4 x 6 x 3
Volume = 72 cm³
A cube by standard has the length, width and height all measuring the same. This means, the in a cuboid with a volume of 72 cubic centimetres, you can find a cube with each side measuring 2 centimetres as follows;
Volume of cube = 2 x 2 x 2
Volume of cube = 8 cm³
Therefore,
Number of cubes = Volume of cuboid / Volume of cube
Number of cubes = 72/8
Number of cubes = 9
However, Stephan's cuboid now has each side measuring 5 centimetres more than each side of Amina's cuboid, hence Stephan's cuboid has the following dimensions,
L = 9 (4 + 5)
W = 11 ( 6 + 5)
H = 8 (3 + 5)
The volume of Stephan's cuboid therefore is derived as,
Volume = L x W x H
Volume = 9 x 11 x 8
Volume = 792 cm³
The number of cubes (with each side measuring 2 cm) in Stephan's cuboid is now derived as;
Number of cubes = Volume of cuboid / Volume of cube
Number of cubes = 792/8
Number of cubes = 99
From the results derived above, Stephan's cuboid has 99 cubes while Amina's cuboid has 9 cubes. The difference between both is 90 cubes.
What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction
Answer:
[tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
We are required to simplify the quotient: [tex]\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}[/tex]
Since the numerator and denominator both have the same root index, we can therefore say:
[tex]\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}[/tex]
[tex]=\sqrt[3]{3}[/tex]
The simplified form of the given quotient is [tex]\sqrt[3]{3}[/tex].
The quotient of an expression is gotten by dividing the expression by another algebraic expression
The result of the given quotient is [tex]\sqrt[3]{3}[/tex]
The expression is given as:
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}}[/tex]
Rewrite the above expression as follows:
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{\frac{60}{20}}[/tex]
Divide 60 by 20
[tex]\frac{\sqrt[3]{60}}{\sqrt[3]{20}} = \sqrt[3]{3}[/tex]
Hence, the result of the given quotient is [tex]\sqrt[3]{3}[/tex]
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What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2
Answer:
y = -3/2x-9/2
Step-by-step explanation:
We have two points ( -3,0) and (-1,3)
The slope is
m = (y2-y1)/(x2-x1)
= (-3-0)/(-1- -3)
= (-3-0)/(-1+3)
= -3/2
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y =-3/2x+b
Using the point (-3,0)
0 = -3/2(-3) +b
0 = 9/2+b
b = -9/2
y = -3/2x-9/2
good morning :) The rental car holds 25 gallons of gas and gets 18 miles per gallon. The trip to Yarrow City is 1350 miles. How many times will the car need to be filled up to make the trip? A. 2 B. 3 C. 4 D. 5
By taking the quotient between the total distance and the distance traveled with one tank, we conclude that the correct option is B.
How many times will the car need to be filled?
We know that the car holds 25 gallons, and gets 18 miles per gallon.
Then, with one tank, the distance that the car can travel is:
25*18mi = 450mi
The number of times that the tank must be filled is equal to the quotient between the total distance of the trip, and the distance traveled with one tank, it is:
1350mi/450mi = 3
This means that the tank must be filled 3 times, so the correct option is B.
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Answer:
b:)
Step-by-step explanation:
y is directly proportional to x when y=30, x=6 a) work out an equation connecting y and x b) work out the value when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
a) Standard equation of direct proportion:
y = kx
We need to find k. We can use the given values of x and y to find k.
x = 6; y = 30
30 = k * 6
k = 30/6 = 5
Now we use k = 5 in the standard equation to get this problem's direct proportion equation.
y = 5x
b)
x = 12
y = 5x
y = 5 (12)
y = 60
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike? Also totally math unrelated, but how do you add friends, or send a friend request?
Answer:
36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1)
If you want to add friends on brainly click their profile picture you will see send friend request click on it and then boom you are friends with that person but you have to wait until the person add you back.
Step-by-step explanation:
Mark me as brainliest
The ratio would start as 36:12
The front number (36) can be divided by the back number (12)
The 36:12 can be reduced to 3:1
The ratio is 3:1
I think when you click on someone name and go to their profile there is a button to request as a friend.
What is 1/2 x 1/2? Please help me i a, confuses
Answer:
1/4
Step-by-step explanation:
when multiply fraction you multiply the fration across so in this case
1/2x1/2 = 1/4
Answer:
[tex] \frac{1}{4} [/tex]Explanation:
Use this rule: a/b*c/d=ac/bd
[tex] \frac{1 \times 1}{2 \times 2} [/tex]
Simplify 1*1 to 1
[tex] \frac{1}{2 \times 2} [/tex]
Simplify 2*2 to 4
[tex] \frac{1}{4} [/tex]
Hope this helps...
Good luck on your assignment..
Which values of a and b make the following equation true? a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10
Answer:
The answer is
a = 11, b = 7Step-by-step explanation:
[tex]( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b} [/tex]
Multiply the terms on the left side of the equation
That's
[tex] - 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b} [/tex]
Since the bases are the same we can equate the exponents
That's
[tex] {x}^{11} = {x}^{a} [/tex]
a = 11
And
[tex] {y}^{7} = {y}^{b} [/tex]
b = 11
Therefore
a = 11 and b = 7
Hope this helps you
Can someone help me please
Please answer this now in two minutes
Answer: b=46
Step-by-step explanation:
b+33 = b-13 + b the exterior angle is the sum of two interior angles.
so they have to equal each and solve for b
b+33=b -13 + b
b +33 = 2b -13
+ 13 +13
b+ 46 = 2b
-b -b
46 = 1b
b=46
One angle of a triangle is a right angle. The second angle measures 41 degrees. What is the measurement of the third angle? A. 49 degrees B. 59 degrees C. 90 degrees D. 132 degrees
Answer:
49 degrees
Step-by-step explanation:
first, you add 90 and 41, as in right angle= 90 degrees.
=131 degrees
then you subtract,
180-131= 49 degrees.
hope this helps!
The measurement of the third angle in the given triangle is 49°. Therefore, the correct answer is option A.
Given that, one angle of a triangle is a right angle.
The second angle measures 41 degrees.
Let the measurement of the third angle be x.
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Here, 90°+41°+x=180°
131°+x=180°
x=180°-131°
x=49°
Therefore, the correct answer is option A.
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I need help with this please
Hey there! :)
Answer:
0.3.
Step-by-step explanation:
Looking at the row for "Less than 80° F", the column for "Rain" shows a 0.3 probability in the table. Therefore:
The probability of rain on a day less than 80°F is 0.3.
What is the inverse of the function f(x) = one-quarterx – 12?
Hey there! :)
Answer:
y = 4x + 48
Step-by-step explanation:
Original equation:
y = 1/4x -12
Switch 'x' and 'y' to solve for the inverse:
x = 1/4y - 12
Add 12 to both sides:
x + 12 = 1/4y - 12 + 12
x + 12 = 1/4y
Multiply both sides by 4:
4(x+12) = y
4x + 48 = y
The inverse is y = 4x + 48
Answer:
4x + 48
Step-by-step explanation:
f(x) = 1/4x - 12
y = 1/4x - 12
Add 12 to both sides.
y + 12 = 1/4x
Multiply both sides by 4.
4y + 48 = x
Switch variables.
4x + 48 = y
Plz help also can you plz explain
Answer:
-1, 1
Step-by-step explanation:
what is 1/3 of -3 and 3