Can you help me solve the equation 4(x+3) = 9x+16+3x? like a walk thru? thanks

Answers

Answer 1

Answer: $4(x+3)=9x+16+3x\n\n4x+12=9x+16+3x\n\n4x+12=12x+16\ \ \ | subtract\ 4x\n\n12=8x+16\ \ \ | subtract\ 16\n\n-4=8x\ \ \ | divide\ by\ 8\n\nx=-(1)/(2)$

Answer 2

Answer: $4(x+3) = 9x+16+3x\n4x+12=12x+16\n8x=-4\nx=-(4)/(8)=-(1)/(2)$

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Write the quadratic equation in factored form. Be sure to write the entire equation.x2 - 5x - 24 = 0

Answers

ill show you 2x-5x-24=0
      -3x-24=0
      +24 +24
   -3x=24
      x=-8

Triangle RST is congruent to triangle .Which sequence of transformations could have been used to transform triangle RST to produce triangle ?

Choose exactly two answers that are correct.

A.
Triangle RST was reflected across the x-axis and then rotated 90° clockwise around the origin.

B.
Triangle RST was reflected across the x-axis and then reflected across the y-axis.

C.
Triangle RST was rotated counterclockwise 90° around the origin and then reflected across the x-axis.

D.
Triangle RST was translated 8 units right and then reflected across the x-axis.

Answers

Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above

Max travels to see his brother's family by car. He drives 216 miles in 4 hours. What is his rate in miles per hour? B) Suppose he makes two stops of 10 minutes each during his journey. Will he be able to reach the town in 4 hours if he keeps the speed the same?

Answers

Answer:

54 miles/hour

If he made two stops of 10 minutes each and maintains the same speed, it would take him more than 4 hours to reach the town as the time speed would have been extended by 20 minutes.

Step-by-step explanation:

The rate of change of distance with time is called speed and it is measured in miles per hour. Mathematically,

Speed = Distance/time

His rate in miles per hour is his speed

= 216/4

= 54 miles per hour

Answer:

Rate in miles per hour: 54 miles per hour

Step-by-step explanation:

Suppose that normal human body temperatures are normally distributed with a meanof 37°C and a standard deviation of 0.2°C.
What percent of humans have a temperature between 36.6°c and 37.4°c?
Which normal curve is shaded correctly for this problem?

Answers

Answer: Choice B

Explanation:

Let's convert the raw score x = 36.6 to its corresponding z score.

z = (x-mu)/sigma

z = (36.6 - 37)/(0.2)

z = -2

Note that mu and sigma represent the mean and standard deviation respectively. The score z = -2 means we're 2 standard deviations below the mean.

Following those similar steps, you should find that x = 37.4 leads to z = 2.

The temperatures we're focused are on the interval $-2 \le z \le 2$ , i.e. the z values are between -2 and 2 inclusive.

Therefore, the range of temperatures are within 2 standard deviations of the mean.

Visually, we'll go for choice B since this shows the lower two sections shaded (ie the panels to the left of the center) and also the upper two sections shaded. According to the Empirical Rule, this accounts for roughly 95% of the normal distribution.

Jovan is building a fort in his backyard using a 10-foot board He leans the base of the board 6 feet away from the base of the wall. How high will be bourd be able to reuch up the wall? If necessary round to the nearest tenth.

Answers

That’s a long board because 10 foot is tall

Final answer:

In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.

Explanation:

This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).

To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.

Substitute the given values to the formula: a² + 6² = 10²

Solving this equation gives: a² = 10² - 6²

Then, a² = 64

So, a = √64 = 8

Thus, the height the board will reach up the wall is 8 feet.

Learn more about the Pythagorean theorem here:

brainly.com/question/19649203

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The mean is always the best measure of central tendency for a set of data. true false

Answers

False, as the mean can be skewed by an outlier in the data

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