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rosijanka [135]
3 years ago
6

F(x)=x^2-8x+7 in factored form​

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

(x-1)(x-7)

Step-by-step explanation:

To factor the equation, find two binomials which multiply to a quadratic. The quadratic's factors are found by finding two numbers that multiply to 7 and add to -8.

-1 and -7 multiply to 7 and add to -8.

(x-1)(x-7)

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Step-by-step explanation:

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Sabrina threw a coin from a building 160 feet high at an initial speed of 30 feet per second. How many seconds will it take the
nirvana33 [79]
Without speeding up it would take 5 1/3 seconds.. not sure if it speeds up in the question?
3 0
3 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
Graph the function f(x)=−13x+1.
pogonyaev

Graph each points:

f(x) = -13x + 1

when x = 0, y = 1

f(0) = -13(0) + 1

f(0) = 0 + 1

f(0) = 1

when x = 1, y = -14

f(1) = -13(1) + 1

f(1) = -13 + 1

f(1) = -14

when x = 2, y = -25

f(2) = -13(2) + 1

f(2) = -26 + 1

f(2) = -25

etc.

Graph each point and connect them.

7 0
3 years ago
$12 per 45 minutes is how much an hour? (I will give good rating to anyone who answers)
uysha [10]

Answer:

$16

Step-by-step explanation:

1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.

2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.

3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.

$16 is made in 60 minutes (1 hour).

3 0
3 years ago
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