Answer:
The vertex of the graph of the equation $y = 3x^2 - 6x + 7$ is the point $(1, 4)$.
Step-by-step explanation:
The vertex of the graph of a parabolic function $y = ax^2 + bx + c$ is given by the formula:
$x = \frac{-b}{2a}$
where a, b, and c are constants and x is the x-coordinate of the vertex.
For the given equation $y = 3x^2 - 6x + 7$, we have a = 3, b = -6, and c = 7. So, we can use the formula to find the x-coordinate of the vertex:
$x = \frac{-b}{2a} = \frac{-(-6)}{2(3)} = \frac{6}{6} = 1$
So, the x-coordinate of the vertex is 1. To find the y-coordinate, we substitute the value of x back into the original equation:
$y = 3(1)^2 - 6(1) + 7 = 3 - 6 + 7 = 4$
So, the vertex of the graph of the equation $y = 3x^2 - 6x + 7$ is the point $(1, 4)$.
The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How far does the sprinkler travel in 2 revolutions? How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth.
Please help me
What is the area of the triangle shown above?
Answer: 132
Step-by-step explanation:
Area of triangle = bh/2
B = 24
h = 11
So, 24*11/2
= 12*11
= 132 sq. units
Hope it helped. Pls mark me the BRAINLIEST!
Please help me and show work please.
Answer:
Radius = 4 km on multiply 4 by 2= 8 kilometers square
for diameter
factor the expression
36x + 12y + 24
Answer:
Sorry
Step-by-step explanation:
I really need to find more answers since my daily limiy for answers ran out since i don't have brainly plus and it costs so muchhhh
Combine like terms to simplify the expression.
3y-10x+5x-6y-7+8
Answer: -5x - 3y + 1
Step-by-step explanation:
When you get a question that asks you to combine like terms, arrange the x terms together, the y terms together, and the numbers together. Be sure to keep the + and - signs in front of each term.
-10x + 5x + 3y - 6y - 7 + 8
Once the like terms are together, you can add and subtract.
-10x + 5x = -5x
+3y - 6y = - 3y
-7 + 8 = +1
Put all the terms together to form the simplified expression.
-5x - 3y + 1
Which graph shows equivalent ratios?
Answer:
Step-by-step explanation:
this one
Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma 0 and 2 comma negative 1
a graph of a line that passes through the points 0 comma 1 and 1 comma 3
a graph of a line that passes through the points 0 comma 3 and 1 comma 3
a graph of a line that passes through the points 0 comma negative 1 and negative 1 comma 2
Answer:
a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4
how does factoring relate to determining whether expressions are equivalent?
Answer:
Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
Combine like terms to simplify the expression.
−4p+(−6p)
Answer: - 10p
Step-by-step explanation A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
Answer:
- 10p
Step-by-step explanation:
We know that,
( - ) × ( - ) = ( + )
( - ) × ( + ) = ( - )
( + ) × ( + ) = ( + )
Accordingly, let us solve the above expression.
- 4p + ( - 6p )
Solve the brackets.
- 4p - 6p
Combine like terms.
- 10p
What is the area of a rectangle with a length of Four and two-fourths meters and a width of Seven and five-sixths meters? 50 POINTS
Thirty-five and six twenty-fourths m2
Twenty-eight and ten twenty-fourths m2
Twenty-eight and seven-tenths m2
Twenty-two and ten-twelfths m2
Answer: ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Answer:
balls balls
Step-by-step explanation:
the is balls balls 69
-1/6(12+18k) PLEASE HELP!!! Write the product.
Max says that the product of 3/2 x 3/8 is less than 3/8. Is Max correct? Explain.
[tex]\frac{3}{2} *\frac{3}{8} < \frac{3}{8}[/tex]
We must simplify the left side in order to determine if this inequality is balanced
To multiply fractions, multiply across, top and bottom.
Don't get common denominators, that is for adding and subtracting
[tex]\frac{9}{16 } < \frac{3}{8} \\\\[/tex]
Get common denominators to determine. Multiply the second one by 2/2
[tex]\frac{9}{16} < \frac{6}{16}[/tex]
The numerator on the second one is smaller, and they have the same same denominators, therefore, this is false.
9/16 > 6/16
False, max is not correct.
Hope this helps,
Jeron :)
what's 2+2 i dont knoe because my mommy said im not smart :( and im in 7th grade)
The answer is 4
Thanks for the points.
Answer:
You are smart dont let others tell you otherwise
Step-by-step explanation:
The answer to 2+2 has not been solved by the smartest scientists of our era, not even Einstein could be successful so don't worry ;D
The answer will revolutionize our understanding of this universe and even god.
PLEASE HELP!!!
2/7(9 + 2/3m + 7n)
Find the product.
Answer:
6/7 + 4/21m + 2n
Step-by-step explanation:
The expression 2/7 * (9 + 2/3m + 7n) can be simplified as follows:
Step 1: Simplify the expression inside the parentheses:
9 + 2/3m + 7n = 9 + (2/3)m + 7n
Step 2: Multiply the simplified expression inside the parentheses by 2/7:
2/7 * (9 + (2/3)m + 7n) = 2/7 * (9 + (2/3)m + 7n)
Step 3: Distribute the 2/7 to each term inside the parentheses:
2/7 * 9 + 2/7 * (2/3)m + 2/7 * 7n
Step 4: Simplify the expression by multiplying each term by 2/7:
(2/7) * 9 = 6/7
(2/7) * (2/3)m = 4/21m
(2/7) * 7n = 2n
Step 5: Combine like terms:
6/7 + 4/21m + 2n = 6/7 + 4/21m + 2n
The final result of the product is 6/7 + 4/21m + 2n.
Combine like terms to simplify the expression.
5n+6+(−7n)
Answer: -2n + 6
Step-by-step explanation:
So the equation is 5n + 6 + (-7n). You then simplify the equation which gives you 5n + 6 - 7n. Lastly, you combine the like terms, 5n and -7n, which is -2n. Then you plug it in with 6 and it's 6 - 2n. But because of the standard form, the final answer is -2n + 6.
Answer:
[tex] \sf \: -2n + 6 [/tex]
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 5n + 6 + (-7n)
Let's simplify the expression,
→ 5n + 6 + (-7n)
→ 5n + 6 - 7n
→ (5n - 7n) + 6
→ (-2n) + 6
→ -2n + 6
Hence, the answer is -2n + 6.
Can i have a explaination for this
Answer:
B
Step-by-step explanation:
The equation for graphing is simply known as y=mx+b
where m = slope and b = Y-Intercept
considering that 1 = Y-Int, you can already put a point on (0,1)
Now, we have the slope of 1/2. When dealing with a fraction slope, we know it as rise/run
The numerator (1) is our rise, so from our previous point, we rise up one time where we're now left with (0,2)
And with two being our run, we take it and run it through the x-axis with our new point (0,2)
After that, we should be left with (2,2)
Therefore, (2,2) is equivalent to answer B with the given equation
can someone help me Asap plss
Answer:6 7 3 4 6 8
Step-by-step explanation:
find n
Do 12/15 and 8/10 have the same value? Explain your answer in complete sentences.
Answer:12/15 and 8/10 do have the same value, if you were to take the two fractions and simplify them into decimals both answers would be 0.8.
Step-by-step explanation: please give brainliest.
Answer: yes they are the same
Step-by-step explanation:
evaluate the expression,
12 (3x + y + 2)
please help me with this ASAP!!
Answer:
x = 19
z = 105
Step-by-step explanation:
z + 75 = 180
z = 105
6x - 39 = 75
6x = 114
x = 19
Answer:
x = 19
z = 105
Step-by-step explanation:
Because these are two intersecting lines, the two opposite angles are equal:
6x - 39 = 75
Solving this equation gives you x:
6x = 114
x = 19
In order to solve for z, we must remember that two angles on a straight line are supplementary angles meaning that, if added together, they equal 180°. In this case:
75 + z = 180
Solving this equation gives you z:
z = 105
2million x 3,000 (FOR FUN )
Answer: 6,000,000,000 is your answer lol.
Answer:
The answer can be expressed as
[tex]6000000000[/tex] or [tex]6*10^9[/tex]
Step-by-step explanation:
Just for fun!
[tex]2000000*3000=6000000000[/tex]
We can convert to scientific notation.
[tex]6*10^9[/tex]
HELP ASAP Offering brainliest and 20 B points!!!
Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.
How many square inches of paper are needed to cover Theresa's art piece?
Answer: 180 sq in^2
Step-by-step explanation: To figure out the area of the square, we can determine what the side lengths are. For the perimeter of the square to be 48, we would have to add 12 four times, so, 12 x 12 is 144. To find the area of a triangle, you use the formula b x h / 2. The base and height are given already, so we can plug in the values and solve below:
12 x 6 / 2 = 36.
Now, we can add 36 and 144 to get our answer of 180 sq in^2.
Have a great day! :)
can someone explain this 2 me? Thanks! have a good day.
Answer:
1. Can be side lengths
2. Can be side lengths
3. Cannot be side lengths
4. Can be side lengths
Step-by-step explanation:
It can be side lengths when the largest side is equal to the sum of the two other side
construct a triangle with angle measures of 15• 15• and 150•
alr so the triangle has to be an issocate triangle were 2 angels are the same
help please, I don't understand this
Answer:
Step-by-step explanation: there multiple formulas that you use for these types of problems. for this problem im pretty sure you would use 1/3 times pi times hight times length
The cost in dollars, of a three-day car rental can be determined by the expression 70 + 0.30m , where m is the number of miles driven. Use this expression to find the cost of a rental car driven 150 miles.
Answer:
Step-by-step explanation:
m is given = 150
Now, expression, 70+(0.3*150)
= 70+45
= $115
∴ Hope this helped. Pls mark me the BRAINLIEST!
Answer:
$115
Step-by-step explanation:
70 + .3 times 40
help???????????????????
A line passes through the point (8,9) and has a slope of -5/4.
Write an equation in point-slope form for this line.
Please Help!!!!!!!
Due at 12:00 pm!!
which of the following types of yogurt has the greatest probability of being chosen?
(Non-fat, Low-fat, Lemon, Banana)
The greatest probability of being chosen is for low fat.
What is probability?
Probability is the ration of favorable outcomes and total number of outcomes.
According to the given quantity
Sum of low fat quantity :
3+6+7 = 16
Sum of non fat quantity:
5+2+1 = 8
So the total quantity = 24
The probability to choose low fat yogurt
= (sum of low fat quantity)/(total quantity)
= 16/24
= 8/3
The probability to choose non fat yogurt
= (sum of non fat quantity)/(total quantity)
= 8/24
=1/3
The probability to choose lemon yogurt
= (sum of quantity of lemon)/(total quantity)
= (6+2)/24
= 8/24
= 1/3
The probability to choose lemon yogurt
= (sum of quantity of Banana)/(total quantity)
= 8/24
=1/3
Hence probability of getting low fat yogurt = 8/3 is greater.
Learn more about the probability visit:
https://brainly.com/question/13604758
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