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steposvetlana [31]
4 years ago
8

Y-1 = square root y+5 What value of y is a solution to the equation above?

Mathematics
1 answer:
otez555 [7]4 years ago
8 0

Answer:

y = 4

Step-by-step explanation:

y - 1 = √y + 5

(y - 1)² = y + 5 (Square both sides)

y² - 2y + 1 = y + 5 (Expand left side)

y² - 3y - 4 = 0 (Subtract y and 5 from both sides)

(y + 1) (y - 4) = 0 (Factor)

y = -1, 4 (Use ZPP)

When we check y = -1 we see that it is not a solution so the answer is y = 4.

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Ellie is an African elephant. When she was born, she weighed about 200 pounds. As an adult, she weighs 7 tons! How many pounds d
wariber [46]

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

5 0
3 years ago
The point (1,1) is the image under the translation (x,y)-> (x+3,y-3). What is the preimage of this point?
wel

Answer:

(-2,4)

Step-by-step explanation:

\text{pre-image}->\text{image}

(x,y)->(x+3,y-3)

(x,y)->(1,1)

This implies (x+3,y-3)=(1,1).

This means x+3=1 and y-3=1.

Subtract 3 on both sides for first equation: x=1-3=-2.

Add 3 on both sides for the second equation: y=1+3=4.

So the pre-image (x,y) is (-2,4) if the image is (1,1).

Let's check:

(x,y)->(x+3,y-3)

(-2,4)->(-2+3,4-3)

(-2,4)->(1,1)

So the solution has been checked and verified.

6 0
3 years ago
Type the integer that makes the following subtraction sentence true:<br> -57 - ? = -151
posledela

Answer:

94

Step-by-step explanation:

Its pretty simple,

The easiest way to find the missing number is to do 151-57, which = 94

8 0
3 years ago
One card is dealt from a 52 card deck. Find the probability that the dealt card is a 4 or a black 7
patriot [66]

Answer: 6/52 (Fraction)


Step-by-step explanation:

We know that there is 26 black cards, therefore 2 black 7's we also know there is four 4's in the pack therefore we add the 2 + 4 = 6 and it has to be in a fraction so it becomes 6/52

5 0
3 years ago
Read 2 more answers
Graph the function f(x)= 5x^5 + 4x^4 - 4x^3 - 7x^2 +6 by making a table of values.
aleksandr82 [10.1K]

Answer:

You can see the graph in the attached file.

Step-by-step explanation:

You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.

For  example choose the value x = 0, then you can calculate the value of y:

f(x) = 5x^{5}  +4x^{4}  - 4x^{3}  -7x^{2} +6

f(0) = 5(0)^{5}  +4(0)^{4}  - 4(0)^{3}  -7(0)^{2} +6

f(0) = 6

Then when x = 0, y = 6

The coordinates for the graph (x, y) = (0, 6)

For the table choose different values, include: zero, negative and positive numbers.

x y

x = f(x)=

-20 -15330794

-15 -3582444

-10 -456694

-5 -12794

-1 2

0 6

1 4

5 17456

10 535306

15 3984306

20 16605206

Review the attached excel file, there you will see the table and how to do the calculations in the cell.

Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.

Also you can see the graph in the file.

Download xlsx
6 0
3 years ago
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