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krek1111 [17]
3 years ago
13

Apples are on sale for 1.20 a pound. Logan bought 3/4 of a pound. How much money did he spend in all

Mathematics
2 answers:
Artyom0805 [142]3 years ago
8 0
1 pound of apples = 1.20

As a number problem, 3/4 of a pound of apples will cost (1.20 * 3/4).

1.20 * 3/4 = 0.90

Logan spent $0.90 all together.
sergeinik [125]3 years ago
3 0
$1.20                    3($1.20)
-------- * (3/4 lb) = ------------ = $0.90   (cost of 3/4 lb of apples)
  1 lb                          4 lb
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Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
A vertical number line is given.
Ad libitum [116K]

The absolute value of the number plotted on the number line is; 0.5

<h3>How to find Absolute Value?</h3>

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line

Thus, if 0.5 is marked on the number line, from the given options, we can say that if we apply the definition above that |0.5| = 0.5

Read more about Absolute Value at; brainly.com/question/24368848

#SPJ1

4 0
1 year ago
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Vedmedyk [2.9K]

Answer:

x = - 5, y = - 9

Step-by-step explanation:

Given

x + 9i = - 5 - yi

For the 2 sides to be equal then the coefficients of like terms must be equal.

x = - 5 and 9 = - y ⇒ y = - 9

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Graph a line with a slope of 3/4that contains the point (2, -3)
Jet001 [13]
Start at the point (2, -3) and then go up 3 and to the right 4 a few points and then go down 3 and to the left 4 a few points and then from there you can get an equation out of it
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3 years ago
Answer and shown work for 5x + y = 10 -x - y = -2
konstantin123 [22]
Solve first equation for y: 
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-x-(10-5x)=-2
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x=2 (plug x into first equation)

5(2)+y=10
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3 years ago
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