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morpeh [17]
3 years ago
15

Which value of x makes the open sentence true?

Mathematics
1 answer:
xeze [42]3 years ago
7 0

Answer:

x=1/2 or 0.5

B. 0.5

Step-by-step explanation:

Step one: Add x to both sides

you then get the equation 7=4x+5

Step two: subtract 5 from both sides

you then get the equation 2=4x

Divide both sides by 4 to undo the multiplication.

2/4=4x/4x

you get x=2/4 which simplifies to 1/2.

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Can anybody help me with this?
Andrews [41]

\bf 7\times \cfrac{n}{4}>7\implies \cfrac{7n}{4}>7\implies \cfrac{n}{4}>\cfrac{7}{7}\implies \cfrac{n}{4}>1\implies n>4

whatever value "n" is, it must be greater than 4, cannot be 4 or less.

notice that simplifying inequalities is hardly any different than doing equalities, there's just one difference when using a negative factor.

\bf 7\times\cfrac{a}{b}=7\implies \cfrac{7a}{b}=7\implies \cfrac{a}{b}=\cfrac{7}{7}\implies \cfrac{a}{b}=1\implies a=b

whatever value "a" might be, it must be equal to "b".

6 0
4 years ago
Round 14 17/21 to the nearest whole number
3241004551 [841]

Answer:

15 Is Your Answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the range of f?
alisha [4.7K]

Answer:

B

Step-by-step explanation:

The range of a function f, would contain outputs that the function can output, or in other words, y-values.

Generally we use inequalities to describe functions that are continuous (not always the case) over a certain interval because using inequalities, doesn't just mean that the inequality has some outputs, but rather every value that satisfies the given inequality, should be an output.

For example if the function f(x) only outputs: 1, 2, 3, 4

It would be invalid to say the range is: 1\le f(x)\le 4

because saying this is the range, would imply that all values between 1 and 4 (including 1 and 4), are in the range. Meaning that 1.2, 1.3, 1.4, etc... are also in this range, but they're not since the function doesn't output these y-values.

Now looking onto the graph provided, we only want to focus on the outputs aka y-values.

Looking at the graph, we can see that the y-values are: 1, -4, 5, -3, and -3.

Notice that we actually have a duplicate y-value, and whenever we have this, we don't state it "twice" in the range, since the range is just telling us of y-values the function can output, and not how many times it occurs.

Thus the range is: -4, -3, 1, and 5

So "b" would be the correct option.

Note: "D" would be the correct choice for the domain of this function (like the range, except it deals with x-values)

6 0
1 year ago
What is the y - intercept of y-8 = 2x *
Zielflug [23.3K]

Answer:

(0,8)

Step-by-step explanation:

First, we must arrange this equation into slope-intercept form, or  y=mx+b form.

Equation: y-8=2x

Add 8 to both sides: y=2x+8

Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it  is just the b-value.

In this case, the b-value is 8, so the y-intercept is (0,8).

Let me know if  this helps!

5 0
3 years ago
Read 2 more answers
Directions: Find at least 3 possible sets of whole-number dimensions for a rectangular with the given volume of 56mm.
Andreyy89
56 x 1 x 1
8 x 7 x 1
2 x 2 x 14
8 0
3 years ago
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