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3 years ago

Solve: -19<3x-4<5 (Graphs are in the image)

Mathematics

1 answer:

jasenka [17]3 years ago

3 0

Answer: B (−5 < x < 3)

Steps

−19 < 3x − 4 < 5

−19 < 3x − 4 and 3x − 4 < 5

x > −5 and x < 3

−5 < x < 3

Number Line

−19 < 3x − 4 < 5 : Solution: − 5 < x < 3

[ Interval Notation: (−5, 3)]

If a < u < b then a < u and u < b

−19 < 3x − 4 : x > −5

3x − 4 < 5 : x < 3

Combine the intervals

Merge Overlapping Intervals

And that equals=

−5 < x < 3

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Please answer the question that is in the photo attached below

rewona [7]

Answer:

$\huge\boxed{b=\sqrt{7}}$

Step-by-step explanation:

In order to solve for this equation we have to note a couple of things.

There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.

The side length of the smaller square (4) is also the hypotenuse of this triangle.

Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.

The Pythagorean Theorem states that $a^2 + b^2 = c^2$ , where a and b are the legs and c is the hypotenuse.

We can substitute 3 in as a and 4 in as c and find b.

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3 years ago

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aliina [53]

Answer:

X is equal to 7

Step-by-step explanation:

Open parenthesis.

3/4x +63/4=21/2

take common denominator

3/4x=42/4-63/4

Solve

3/4x=-21/4

3x=21

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3 years ago

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Marina CMI [18]

Answer:

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3 years ago

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nolan completely fills a glass with water and then pours the water into a bowl. he does this until the bowl is completely filled

Firdavs [7]

Answer:

$\bold{3\dfrac{1}{2 }}$ full glasses of water the bowl holds.

Step-by-step explanation:

Full glass of water holds $1\frac{1}{3}$ cups of water.

Full bowl of water holds $4\frac{2}{3}$ cups of water.

To find:

How many full glasses of water does the bowl hold ?

Solution:

Let us convert the unit of cups of water to glass of water.

Given that

$1\frac{1}{3}$ or $\frac{4}{3}$ cups of water is equivalent to 1 full glass of water

Now, let us use unitary method to find the answer.

$\frac{4}{3}$ cups of water is equivalent to 1 full glass of water

1 cups of water is equivalent to $\frac{3}{4}$ full glass of water

$4\frac{2}{3}$ or $\frac{14}{4}$ cups of water is equivalent to $\frac{3}{4}\times \frac{14}3 = \frac{14}{4}$ full glass of water

$\dfrac{14}{4} = \dfrac{7}{2} = \bold{3\dfrac{1}{2}}$ full glass of water is the quantity the bowl holds.

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Answer:

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Step-by-step explanation:

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