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2 years ago

Need help with this problem

Mathematics

1 answer:

n200080 [17]2 years ago

5 0

Answer:

(28) 61.5, or $61,500

(29) 49.25, or $49,250

(30) the median

Step-by-step explanation:

(28) the mean can be calculated by adding together the values and then dividing by the total number of values.

(45 + 47 + 47.5 + 51 + 53.5 + 125) / 6 = 61.5

(29) the median can be calculated by crossing off the values from the outside in, alternating sides

45, 47, 47.5, 51, 53.5, 125

47, 47.5, 51, 53.5

47.5, 51

you will end with two middle values since there are six values in the set, so average these to find the median

(47.5 + 51) / 2 = 49.25

(30) The median will better reflect the value of the homes because it is not as much influenced by the outlier value, 125, as the mean is.

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Write a linear equation in standard form for the line that goes through (4,4)and (8,3)

Alexus [3.1K]

The standard equation of a line has the form:

y=mx+b

Where m is the slope of the line and b is the intercept.

The only thing we need to determine the equation of a line is two points, in this case, we have the points (4,4) and (8,3). Then, from the first point we know that when x equals 4 y equals 4 and from the second point we know that when x equals 8 y equals 3, we can express this with the standard formula of a line, like this:

4=m*4+b and 3=8*m+b

subtraction the second expression from the second one, we get:

4-3=m*4+b-8*m-b, we can cancel b and then we have:

4-3=m*4-m*8, we can subtract 3 from 4 in the left side and 8*m from 4*m from the right side and then:

1= -4*m , we can divide both sides by -4 and then:

m= -1/4

Now that we know the value of the slope, we only need to specify the value of b, we can do this by replacing the value of m in the expression 4=m*4+b of the first point and then solve for b, like this;

4=m*4+b, m=-1/4, then:

4= 4*(-1/4)+b, then:

4= -1+b, then, adding -1 in both sides we have:

4+1=b, then:

b=5

And the standar form of the line would be:

y=(-1/4)*x+5

5 0

1 year ago

NEED ANSWER ASAP - 100 POINTS

Zina [86]

<h2>Using the quadratic formula</h2>

The quadratic formula can help us solve for x in a quadratic equation:

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

We can use this when the given equation is organized in standard form: $ax^2+bx+c=0$

<h3>Applying this to the problem</h3>

$2x^2+5x-4=0$

First we can identify the values of a, b and c:

a = 2

b = 5

c = -4

Plug these values into the quadratic formula:

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-5 \pm \sqrt{5^2-4(2)(-4)}}{2(2)}$

$x=\dfrac{-5 \pm \sqrt{25+32}}{4}$

$x=\dfrac{-5 \pm \sqrt{57}}{4}$

<h2>Answer</h2>

Therefore, the two possible values of x are:

$x=\dfrac{-5 +\sqrt{57}}{4}$

$x=\dfrac{-5 -\sqrt{57}}{4}$

3 0

3 years ago

Can someone help me plz!!

kipiarov [429]

Answer:

RMT or TMR

Step-by-step explanation:

The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.

8 0

3 years ago

Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.

hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the length of the unknown side (PR)

q² = p² + r² - 2prCos Q

q is the opposite side of ∠Q;

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² - 2* 33*67 Cos 19°

= 1089 + 4489 - 4422 * 0.95

= 1089 + 4489 - 4200.9

= 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

$\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}$

Sin P = 0.3

$P = Sin^{-1} 0.3\\$

P = 17.5°

∠R = 180 - (19 + 17.5)

= 143.5°

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2 years ago

Write an algebraic expression, equation, or inequality for each (don’t solve): a) twelve more than 8 times a number b) the diffe

dalvyx [7]

Answer:

A. 12 + 8x

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Step-by-step explanation:

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4 years ago

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