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3 years ago

Solve for x. −7≥13−5x

Mathematics

2 answers:

pentagon [3]3 years ago

7 0

The answer to this is 4 ≤ x

In order to find this, follow the order of operations.

−7 ≥ 13 − 5x ----> Subtract 13 from both sides

-20 ≥ -5x -----> Divide by -5

4 ≤ x (NOTE: the sign changes direction when dividing by a negative.

xz_007 [3.2K]3 years ago

7 0

<u>Solve for x:</u>

−7 ≥ 13 − 5x

<u>Let's solve your inequality step-by-step.</u>

−7 ≥ 13 − 5x

<u>Step 1: Simplify both sides of the inequality.</u>

−7≥ − 5x + 13

<u>Step 2: Flip the equation.</u>

−5x + 13 ≤ −7

<u>Step 3: Subtract 13 from both sides.</u>

−5x + 13 − 13 ≤ − 7 − 13

−5x ≤ − 20

<u>Step 4: Divide both sides by -5.</u>

−5x/ −5 ≤ −20/ −5

x ≥ 4

<u>Answer: x ≥ 4</u>

Hope that helps!!! : )

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Please help me with this problem thanks guys

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B. 3x4 design makes a better statement in which the design is 4inches tall and with a diameter of 3 inches

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3 years ago

A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola

zaharov [31]

The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

<h3>What is a directrix?</h3>

A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.

As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.

As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.

Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

Learn more about Directrix:

brainly.com/question/2629634

7 0

3 years ago

22. The mean of 15 observations is 32. Find the resulting mean, if each observation is: (i) increased by 3 (ii) decreased by(v)

Lubov Fominskaja [6]

Answer:

35 ;

32 + v

51.2

Step-by-step explanation:

If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount

Hence,

For 15 observations whose mean is 32

If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35

If each observation is decreased by v ; the resulting mean would also decrease by v ;

32 - v

If each observation is increased by 60% ; the resulting mean will be ;

(1 + 60%) * initial mean

(1 + 0.6) * 32

1.6 * 32 = 51.2

8 0

3 years ago

Suppose you work in the quality assurance department of a chemical processing plant and it is your responsibility to ascertain w

aleksandrvk [35]

Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9

Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

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3 years ago

In x² , what is the 2 called?

alexandr402 [8]

Answer:

<h2>an exponent</h2>

Step-by-step explanation:

In x², here the 2 is exponent while x is base.

7 0

3 years ago

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