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2 years ago

Solve the inequality for x and identify the graph of its solution (picture added)

Mathematics

1 answer:

zloy xaker [14]2 years ago

5 0

The inequality that is correctly graphed is the one in option B.

<h3>Which graph correctly describes the inequality?</h3>

Remember that if we have symbols like ≤ or ≥, we graph a solid circle, while if we use symbols like > or <, we need to use an open circle.

If we write:

x < -3

Then we must have an orange line to the left of x < -3

Finally, the option that you marked is wrong.

Why?

There it says that:

"x < -3 and x > 1"

The "and" means that x meets both properties at the same time, which is impossible.

The correct option is the one that says:

"x < -3 or x > 1".

The "or" means that x needs to meet only one of the two conditions, not both at the same time.

Then the correct option is B.

If you want to learn more about inequalities:

brainly.com/question/25275758

#SPJ1

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Graph f(x)=sin (3.14/4)x

crimeas [40]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the x and y intercept for f(x)=x^2-3x-40

Dahasolnce [82]

To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).

f(x) = 0^2 - 3(0) - 40

f(x) = -40

<h3>The y-intercept is -40.</h3>

Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.

In this case, we're going to use the quadratic formula:

$\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Plug in the values.

3 +/- √(-3^2 + 160) / 2

3 +/- √169 / 2

3 +/- 13 / 2

(3 + 13) / 2 = 16 / 2 = 8

(3 - 13) = -10 / 2 = -5

<h3>The x intercepts are 8, and -5.</h3>

3 0

3 years ago

Which inequality represents the sentence below? The difference of a number and one and four tenths is more than nine and seventy

Marianna [84]

The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

$1\dfrac{4}{10}$

Nine and seventy-eight hundredths can be written as,

$9\dfrac{78}{100}$

Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

$p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\$

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Learn more about the inequality equation here:

brainly.com/question/17724536

3 0

2 years ago

A bag contains orange and yellow sweets the ratio of orange to yellow sweets is 3:2 There are 51 orange sweets in the bag find t

GalinKa [24]

Answer: 34

Step-by-step explanation: the ratio is 3:2 we know that there are 51 orange sweets but we don’t know how many are yellow so the current ratio is 51:x we need to find x so if we divide 3 by 51 the answer is 17 so we need to multiply 17 by 2 which is 34 so x is equaled to 34 the final ratio is 51:34

hope it helped :)

6 0

3 years ago

What value of k makes the statement true? <br><br> k + (–4.1) = –9.7

Ugo [173]

K + (-4.1) is the exact same as saying k- 4.1, so what you have to do now is put the -4.1 in the opposite side, but with opposite sign too (+)
so k= -9.7 + 4.1
so in order to answer it you have to deduct the number with the lowest value taking in count both as positive and the sign will be the one from the highest value taking both as positive
9.7
-4.1
____
5.6
so 9.7 had a negative sign so the answer to your question is
k = -5.6
i hope i helped you

8 0

3 years ago