Solve the following equation algebraically:
-16 = 16x^2 How many solutions does this equation have? Explain.
a. -1=x^2: One solution because only -1 will satisfy the equation.
b. -1=x^2: No real solution because there is no real number that, when squared, produces -1.
C. 1=x^2: Two solutions because the square root of 1 is positive 1 and negative 1.
d. 1=-x^2: One solution because only -1 will satisfy the equation.​

Answer:

7.3

Step-by-step explanation:

The mean of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3. 6, 22 , 5.8 , 9 , 3 is 7.3

Answer:

5.8

Step-by-step explanation:

First put all the numbers in order from least to greatest.

3, 3, 3, 3.5, 4.6, 7, 8.1, 9, 9, 12

There are two middle numbers, 4.6 and 7. Average them to get 5.8.

Answer:

D. 1/52

Step-by-step explanation:

There are four 4s in a deck of 52 cards, so there is a 4/52 chance of drawing a four on the first try.

Once you replace the card in the deck, the simulation starts over, meaning the events are independent and you are once again drawing from 52 possible cards.

Now, when you draw the club, the chance of this is 13/52 because there are 13 clubs in a deck.

Because events are independent, multiply the probabilities to determine the chance that both events occur.

[tex]\frac{4}{52} * \frac{13}{52}[/tex]   =  1/52

Answer:

yep your correct!

Step-by-step explanation:

i did 5(-2) -4

which is -10 -4

and that will equal -14!

hope this helps u!

Answer:

-14

Step-by-step explanation:

because if x is -2 we have y=5.(-2)-4 and that's y=-10-4 and that's y=-14

Answer:

Im not really sure, how many equations do you need? Do you one whole equation or 2?

Answer:

The answer is B

Step-by-step explanation:

plz mark brainliest i answered first

Answer:

12/32 is equivalent to 3/8

Answer:

No solution

Step-by-step explanation:

1=4|x-2|+2

-4|x-2| + 1 = 2

-4|x-2| = 1

False for every value of x

Since absolute value gives only a positive value, the -4 would always make that number negative which doesn't work

Answer:

When flipping a fraction it is called the reciprocal  

Step-by-step explanation:

Answer:

3f5 Changes made to your input should not affect the solution:

(1): "f5"   was replaced by   "f^5". final result

3f5

Step-by-step explanation:

Answer:

yes b

Step-by-step explanation:

Answer:

The rate of change of the distance between the cars at that instant is 5.46 meters per second

Step-by-step explanation:

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At instant, distance of first car from intersection = 5 meters

distance of second car from intersection = 12 meters

Therefore, we have

Distance between both cars at intant = √(12² + 5²) = 13 m

Rate of change of distance is given by;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd/dt = 2×5×7 + 2×12×3 = 142

dd/dt = 142/26 = 5.46 m/s.

That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.

Answer:

12.6cm²

Step-by-step explanation:

Diameter of circle  = 8cm

Unknown:

Area of the circle  = ?

Solution:

The area of the circle is given by the expression below;

 Area = π r²

r is the radius of the circle

  Since diameter is 8cm, radius  = 4cm

 Insert the parameters;

 Area of circle  =  π x 4cm  = 12.6cm²

Answer:50.3

Step-by-step explanation: i got it right

Answer:

Shifted 5 units down

Step-by-step explanation:

Answer:

$15 for 1 CD or 15:1

Step-by-step explanation:

You just divide 45 by 3 and get your answer for value per CD. :)

Answer: A. -1/2

Step-by-step explanation:

Answer:

x = 2

distributive property of equality, subtraction property of equality, and division property of equality

Step-by-step explanation:

(Proof is in parenthesis)

4(x + 3) = 20 (Given)

4x + 12 = 20 (distributive property of equality)

4x = 8 (subtraction property of equality)

x = 2 (division property of equality)

Answer:

-3

Step-by-step explanation:

Slope is rise over run or the change in y over change in x. So to find the slope count the difference from one point to the next, for example (0,4) and (1,1). In this case, the y-value decreases by 3, so -3, and the x-value increases by 1, so +1. Which would be -3/1 or just -3. One way to visually check is to remember that slopes less than -1 or greater than 1 make the line steeper and negative slopes make the graph decrease from left to right.

Answer:

im pretty sure its 2

the intercept would be -2/2

Step-by-step explanation:

Answer:

the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.

Step-by-step explanation:

This talks about equalities in math,

We are told about Moutain climber A is at altiude of 250 feet and is descending at a rate of 30 feet per hour, this can be interpreted as

250 - 30h

Moutain climber B is at an altitude of 400 feet and is descending at a rate of 50 feet per hour, this can be interpreted as

400 - 50h

We were now asked how many hours the altitude of mountain climber b be lower than the altitude of mountain climber A, we can interpret this as

(400 - 50h) < (250 - 30h )

We can collect the like terms here

-50h + 30h < 250 - 400

-20h < - 150

The negatives sign can cancelled out, we have

Note that multiplying or dividing by a negative THE INEQUALITY SIGN MUST BE FLIPPED

20h > 150

h > 150/20

h > 7.5

Therefore, the altitude of mountain climber b will be lower than the altitude of mountain climber A with number of hours greater than 7.5hrs.

step (1) 32+23*4 =124 step (2) 9+23*4= 101  step (3) 9+9*4=45 step 4 9+35=44

Step-by-step explanation:

Answer:

m = -1

Step-by-step explanation:

m = - (4 + m) + 2

m = -4 - m + 2

m = -2 - m

+m       +m

2m = -2

/2      /2

m = -1

Hope this helps!

Answer:

m=-1

Step-by-step explanation:

m = - ( 4 + m ) + 2

m - 2 = - ( 4 + m )

m - 2 = - 4 - m

m + m = - 4 +  2

2 m = - 2

m = - (1/2)

m = - 1

Answer:

100 bags

Step-by-step explanation:

Answer:

100 bags

Step-by-step explanation:

You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.

60 + 30 = 90

90 + 10 = 100

Answer: One glass of milk = 10 carbs

Answer: One snack bar = 14 carbs

Step-by-step explanation:

Four glasses of milk and Two snack bars.

4 x 10 = 40

2 x 14 = 28

40 + 28 = 68

Two glasses of milk and Three snack bars.

2 x 10 = 20

3 x 14 = 42

20 + 42 = 62

Step-by-step explanation:

(x-4)(x-4)

or

(x-4)^2

Answer:

π is the constant ...... circle to its circumference

π is the area .... radius 1

Step-by-step explanation:

π is a mathematical constant, defined as ratio of circle's circumference to its diameter.

π is area of circle of radium 1. Area = π r^2 = π (1)^2 = 1

Answer:

$1.75

Step-by-step explanation:

Honestly, you don't really have to pay attention to the other numbers or ratios on the graph until you think you found your answer. Pay attention to whichever ratio you choose and follow these steps:

1. Identify which number is the cost and which is the amount of pens bought

2. Set it up as a division problem by using the cost and the dividend and the amount of pens as the divisor

3. After you have your answer, plot your ratio of 1:(your product) and if the line that was graphed is straight, you are correct.

PS. I used the ratio (2:3.5) to solve this problem

Answer:

The smaller angle is 42 degrees

Step-by-step explanation:

I did 7+8 = 15 and then 90/15 and got 6 so 7x6 is 42. trust me this works