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2 years ago

Sammy factored the polynomial x2 + x - 6. She came up with the factors of

Mathematics

1 answer:

shepuryov [24]2 years ago

5 0

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.

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Fourteen less than the quotient of a number and 5

Ede4ka [16]

Answer:

Step-by-step explanation:

14-(a/5)

6 0

3 years ago

The sum of two integers is 33. The larger is 6 more than twice the smaller. Find the two

grandymaker [24]

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

$x+y=33$ (The sum of two integers is 33)
$x=6+2y$ (The larger is 6 more than twice the smaller)

2) Solve for one of the integer

Isolate x in the first equation

$x+y=33\\x=33-y$

Plug the first equation into the second

$33-y=6+2y$

Combine like terms

$33-6=2y+y\\27=3y\\9=y$

Therefore, the smaller integer is 9.

3) Solve for the other integer

$x+y=33$

Plug in y (9)

$x+9=33\\x=33-9\\x=24$

Therefore, the larger integer is 24.

I hope this helps!

4 0

3 years ago

Read 2 more answers

State when f(x) is increasing , decreasing , concave up , concave down .

Marizza181 [45]

Answer:

f(x) = sec x. tan x

⇔ f(x) = 1/cosx . cosx/sinx

⇔ f(x) = sin x

+) when f(x) is increasing => sin x increases

=> x will increase

+) f(x) is decreasing => x will decrease

+) f(x) is concave up => x ∈ (-pi/2; 0)

+) f(x) concave down => x ∈ (0; pi/2)

Step-by-step explanation:

3 0

2 years ago

Find the value of X and the value of Y. (10 POINTS)

Ganezh [65]

sin 45 = opp/hyp

sin 45 = 4 / y

y = 4/sin 45

y = 4 /((sqrt2)/2)=4* sqrt(2)

tan 45 =opp/adj

tan 45 = 4/(x-3)

1 = 4/(x-3)

x-3 = 4

x=7

3 0

2 years ago

Trigonometry

saul85 [17]

Answer:

9.7

Step-by-step explanation:

tan=opposite/adjacent

tan=9/adjacent

tan 43=9/x

x tan 43=9

0.9325x=9

0.9325x/0.9325=9/0.9325

=9.65

hence;

x=9.7

7 0

3 years ago