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3 years ago

(X + 20) + 3x + 32= 180

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

x=32

Step-by-step explanation:

(x+20)+3x+32=180

x+20+3x+32=180

4x+52=180

4x=180-52

4x=128

x=128/4

x=32

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Without using technology, describe the end

victus00 [196]

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

$f(x)=3x^{4}+8x^{2}-22x+43$

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.

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3 years ago

Use quadratic formula to find both solutions to the quadratic equation given below . 3x^2-5x-1=0

Rudiy27

Answer:

$x1=\frac{5+\sqrt{37}} {6}$

$x2=\frac{5-\sqrt{37}} {6}$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^{2} -5x-1=0$

$a=3\\b=-5\\c=-1$

substitute in the formula

$x=\frac{5(+/-)\sqrt{(-5)^{2}-4(3)(-1)}} {2(3)}$

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$x2=\frac{5-\sqrt{37}} {6}$

8 0

3 years ago

Read 2 more answers

Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Th

krok68 [10]

The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

<h3>What is theoretical probability?</h3>

Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.

Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.

Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.

The total number of names are 5.
The total number of names chosen are 4.

The total number of ways 4 names can be taken out from 5 names is,

$^5C_4$ .

Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.

Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is

$^4C_3$ .

The theoretical probability that Chandra will be chosen as one of the science fair participants is,

$P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%$

Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.

Learn more about the theoretical probability here;

brainly.com/question/8652467

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2 years ago

Item 10 A 12-foot ladder leans against the side of a house with its base 3 feet from the house. Use the Pythagorean Theorem to a

Yanka [14]

Answer:

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Step-by-step explanation:

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Since the ladder leans against the wall in a slant position, it is the hypotenuse.

From Pythagoras Theorem,

Hypotenuse ²= Opposite ²+ Adjacent ²

12²=3²+x²

x²= 12²-3²=144-9=135

x=√135=11.61895003862

The Ladder reaches up to a height of 11.6 foot (to the nearest tenth) on the house.

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3 years ago

What are the most obtuse angle you can create in a triangle?

Contact [7]

The obtuse interior angle in triangle can reach to 179.9999999.... °.
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3 years ago