How do I solve 3.2x+0.2x^2-5=0

Answers

Answer 1

Answer: $3.2x+0.2x^2-5=0\ \ \ \ |both\ sides\ multiply\ by\ 5\n\n16x+x^2-25=0\n\nx^2+16x-25=0\n\na=1;\ b=16;\ c=-25\n\n\Delta=b^2-4ac\to\Delta=16^2-4\cdot1\cdot(-25)=256+100=356\n\nx_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(356)=√(4\cdot89)=2√(89)\n\nx_1=(-16-2√(89))/(2\cdot1)=-8-√(89);\ x_2=(-16+2√(89))/(2\cdot1)=-8+√(89)$

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Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4?16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2
16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4
16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

Answers

Answer:

Option A is correct.

Value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Step-by-step explanation:

To find the value of: 16 to the power of 1 over 4.

$16^{(1)/(4)}$

we can write 16 as:

$16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4$

⇒ $(2^4)^{(1)/(4)}$

⇒ $(2)^{4 \cdot (1)/(4)}$ [∴ $(a^n)^m = a^(nm)$ ]

⇒2

Hence, the value of $16^{(1)/(4)}$ is, 2.

Therefore, the value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.

Ans. 16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4

Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?HELP NOW DUE In 30 min!

Answers

The solution is, Sam has 5 dimes and 7 quarters.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Sam has $2.25 in quarters and dimes, and the total number of coins is 12.

let, Sam has n₁ dimes and n₂ quarters.

then, we have,

n₁*$0.10 + n₂*$0.25 = $2.25

and, we have,

n₁ + n₂ = 12

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

Answer:

5 dimes and 7 quarters.

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n₁*$0.10 + n₂*$0.25 = $2.25

n₁ + n₂ = 12

-----------

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

---------

Answer:

5 dimes and 7 quarters.

Lisa invests $4,000 in two types of bonds, bond A and bond B. Bond A offers a 10% return, and bond B offers a 6% return. Lisa invests $x in bond A and $y in bond B. Her total return on the investment is $340. The system of linear equations defining the situation is x+y=4,000 and .1x=.06y=340. The amount Lisa invested at the rate of 10% is ___ , and the amount she invested at the rate of 6% is ___ .

Answers

Lisa invests $4,000 in two types of bonds, bond A and bond B. A + B = 4000 Bond A offers a 10% return, and bond B offers a 6% return. .10 A + .06 B = 340 Her total return on the investment is $340. since the relationship A+B=4000 must satisfy the setup for all values A and B we can state that A = 2000 + n, and B = 2000 -n afterall: 2000 +n + 2000 - n = 4000 for all n .10(2000+n) + .06(2000-n) = 340, once we know n we know A and B

What is the perimeter of a rhombus-shaped street sign with a 35-cm side? A. 280 cm
B. 140 cm
C. 1,225 cm
D. 70 cm

Answers

A rhombus has a total of 4 sides. All sides are equal. The formula of getting the perimeter of a rhombus is:
Perimeter = 4 * S
Perimeter = 4 * 35 cm
Perimeter = 140 cm.

So the perimeter of a rhombus-shaped street sign that has a 35-cm side is equal to (B) 140 cm.

A kite is tied to the ground. The rays from the sun hit the kite perpendicular to the kite string, casting a shadow of the kite on the ground. The coordinates in the diagram are given in feet. What is the distance from where the kite is tied to the shadow? (3,12) (0,0)

Answers

so looking at the coordinates 3,12 and 0,0 if you were to add those two you would get 15 but the kite went up to about 12 feet high into the sky but it is at an angle of 3 feet ( perpendicular ) so I think that my best answer to give you is 15

But if you re looking for distance its (Y2 - Y1) / X2 - X1
0 - 12 Divided by 3 - 0 | -12 / Divided by 3 = -4
Than your answer would be -4

dose this help you in any way?

so if you are asking for the distance do y2-y1/x2-x1

0-12/3-0

-12/3=-4

so -4 units

True or False: A method of creating a geometric figure that is mathematically precise by using a compass andstraightedge is called drawing or copying.

Answers

True, A method of creating a geometric figure that is mathematically precise by using a compass and straightedge is called drawing or copying.

Given that,
A statement is given we have to determine whether the statement is true or false.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
The statement is given is, "A method of creating a geometric figure that is mathematically precise by using a compass and straightedge is called drawing or copying."
The given statement si true because the statement is the true definition of drawing or copying, drawing or copying are the methods of creating a figure or portrait of something in precise order.

Thus, the given statement is true.

Learn more about congruent geometry here. brainly.com/question/12413243

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Answer:

true

Step-by-step explanation:

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