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dexar [7]
3 years ago
12

Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.

Mathematics
2 answers:
Verdich [7]3 years ago
5 0

Hello! Just took the test:

(1,625) No

(0,-25) Yes

(-1,-1) Yes

KengaRu [80]3 years ago
3 0
<span>(1,625) No (0,-25) No (-1,-1) No Think about what an integer exponent means for an negative base and you'll understand this problem. For instance the powers of -25 would be -25^1 = -25 -25^2 = (-25) * (-25) = 625 -25^3 = (-25)*(-25)*(-25) = -15625 and so on, giving 390625, -9765625, 244140625, etc. But that's a different subject. For the ordered pairs given, let's check them out. (1,625) -25^1 + 1 = -25 + 1 = -24. And -24 is not equal to 625, so "No". (0,-25) -25^0 + 1 = 1 +1 = 2. Note: Any real number other than 0 raised to the 0th power is 1. And 2 is not equal to -25, so "No". (-1,-1) -25^(-1) + 1 = 1/(-25^1) + 1 = 1/-25 + 1 = 24/25. And 24/25 is not equal to -1, so also "No".</span>
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Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
GuDViN [60]

Answer:

(-2, 11) and (2, 3)

Step-by-step explanation:

<u>Given system of equations:</u>

1) f(x) = x² - 2x + 3 ⇒ y = x² - 2x + 3

2) f(x) = -2x + 7 ⇒ y = -2x + 7

Solve Using the Substitution Method:

<u>Step 1:</u> Substitute the the first equation into the second.

⇒ x² - 2x + 3 = -2x + 7

<u>Step 2:</u> Solve for x.

x² - 2x + 3 = -2x + 7 [ Add 2x to both sides. ]

x² - 2x + 2x + 3 = -2x + 2x + 7

⇒ x² + 3 = 7 [ Subtract 3 from both sides. ]

x² + 3 - 3 = 7 - 3

⇒ x² = 4 [ Take the square root of both sides. ]

√x² = √4

x = ± 2

⇒ x = -2, x = 2

<u>Step 3:</u> Solve for y.

<em>Substitute the found x-values into one of the given equations.</em>

y = -2x + 7 ⇒ y = -2(-2) + 7 ⇒ y = 4 + 7 ⇒ y = 11

y = -2x + 7 ⇒ y = -2(2) + 7 ⇒ y = -4 + 7 ⇒ y = 3

The solutions to the system of equations are: (-2, 11) and (2, 3).

Learn more about system of equations here:

brainly.com/question/26094713

brainly.com/question/27850666

5 0
2 years ago
Read 2 more answers
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 4 h, and Car B traveled the dista
Kamila [148]

40mph for Car B I think. 45mph for Car A. 45(mph) times 4(h) is 180(distance) and 40 times 4.5 is also 180. Sorry if I'm wrong.

8 0
3 years ago
I dont understand this question, and needs to be done by tomorrow morning please help​
gladu [14]

Answer:

ABCD and EFGH

ABCD and PQRS (or EFGH and PQRS)

Dilate by a scale factor of 3

Step-by-step explanation:

Congruent means they have the same shape and size.

Similar means they have the same shape, but not necessarily the same size.

The orientation (rotation angle) or position do not matter.

EFGH is reflected and rotated, so it maintains the same shape and size as ABCD.  Therefore, they are congruent.

PQRS is scaled and translated, so it has the same shape, but different size than ABCD.  Therefore, they are similar but not congruent.

Also, PQRS is similar to EFGH, but not congruent.

To make EFGH congruent to PQRS, we need to make it the same size.  So we need to scale EFGH by a factor of 3.

3 0
3 years ago
What is the length of the longest side ?
exis [7]

Answer:

11 feet (Option C)

Step-by-step explanation:

Let the longer side be l and the shorter side be b.

We know that,

→ Perimeter of rectangle = 2 ( longer side + shorter side )

Here,

  • Perimeter of rectangle is 32 feet.

→ 32 = 2 (l + b)

→ 32 = 2l + 2(5)

→ 32 = 2l + 10

→ 32 - 10 = 2l

→ 22 = 2l

→ \sf \dfrac{22}{2} = l

→ 11 = l

→<u> 11 feet = longer side</u>

\therefore <u>Length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>longer</u><u> </u><u>side</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u> </u><u>feet</u><u>.</u>

7 0
3 years ago
A(1, 3), B(5, 3), and D(1, -2) are three vertices of rectangle ABCD. The coordinates of vertex C are
harkovskaia [24]
The answer is C, (5,-2) if you graph all the other points you can easily see where the missing point should be considering it's a rectangle
6 0
3 years ago
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