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lilavasa [31]
1 year ago
14

Vertex of y = −2(x−4)2 + 3 and identify it as a minimum or a maximum.

Mathematics
1 answer:
baherus [9]1 year ago
4 0

An equation is formed of two equal expressions. The vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


If we plot the graph of y=-2(x-4)²+3, then the vertex of the graph will lie at (4,3).

Hence, the vertex of the equation y=-2(x-4)²+3 will lie at (4,3).

Learn more about Equation:

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Marlena spends a total of $58 at the Barnes and Noble. She purchases 4 books of equal price and spends an additional $4 on sales
Natalka [10]

Answer:

4b + 4 = 58

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
Lerok [7]

The equivalent expression of \sqrt x + 11 = 15 is \sqrt x = 15 - 11

<h3>How to determine the equivalent expression?</h3>

The complete question is in the attached image

The expression is given as:

\sqrt x + 11 = 15

Subtract 11 from both sides of the equation

\sqrt x + 11 - 11= 15 - 11

This gives

\sqrt x = 15 - 11

Hence, the equivalent expression of \sqrt x + 11 = 15 is \sqrt x = 15 - 11

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5 0
2 years ago
A construction worker is building a wall. The wall is
damaskus [11]

I believe it is 45 studs to the end of the wall

3 0
2 years ago
Read 2 more answers
3. URGENT HELP!!
denis23 [38]
3a)
Equation of a line formula: y - y₁ = m(x - x₁)
x₁ and y₁ are coordinates of one point on the line
m is the gradient of the line
m = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
If we say:
(x₁, y₁) = (0, -1)
(x₂, y₂) = (2, 3)
then:
m = (3 - -1)/(2 - 0)
= 4/2
= 2
So, the equation of the line is (using the formula):
y - -1 = 2(x - 0)
y + 1 = 2x
y = 2x - 1

3b)
Any two given lines will always intersect unless they have the same gradient, i.e. they are parallel;
So, to determine if the two lines will intersect all we have to do is work out the gradient of the second line and see if it is the same as the the gradient of the first (which we worked out to be 2) or not;
So, for the second line:
(x₁, y₁) = (-3, 3)
(x₂, y₂) = (-2, 4)
And so:
m = (4 - 3)/(-2 - -3)
= 1/1
= 1
1 ≠ 2;
The gradients of the two lines are not the same;
They are not parallel;
They will intersect at some point.

4a)
                 ||   Male   ||   Female
0 ≤ x ≤ 1   ||     66     ||        2
2 ≤ x ≤ 7   ||    583    ||      160
8 ≤ x         ||     89     ||       42
Total               738            204
x = number of times a day hand are washed

4b)
66/738 × 100 = 8.94..... ⇒ 9%
9% of males wash their hands once or less per day
2/204 × 100 = 0.980..... ⇒ 1%
1% of females wash their hands once or less per day

89/738 × 100 = 12.0..... ⇒ 12%
12% of males wash their hands 8 or more times per day
42/204 × 100 = 20.5..... ⇒ 21%
21% of females wash their hands 8 or more times per day

On average, it appears that females tend to wash their hands more frequently;
However, the fact that significantly less women reported could mean the data is not suitable to be used to compare the number of hand washes between males and females. <span />
3 0
2 years ago
What do I do if I move the 5 to the tens place and I move the 15 once
V125BC [204]

Answer:

if you move 5 to the tens place, it will be 50. If you moved 15 once, it will end up in the hundreds place, which will be 150.

Step-by-step explanation: Please mark me brainliest if I was correct!

8 0
2 years ago
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