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gtnhenbr [62]
3 years ago
6

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

Mathematics
2 answers:
ch4aika [34]3 years ago
5 0
<h3>Solution:</h3>

- 3{(y + 2)}^{2}  - 5 + 6y \\  - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5  + 6y \\  - 3 {y}^{2}  - 6y - 6y - 12 - 5 + 6y \\  - 3 {y}^{2}  - 12y - 12 - 5 + 6y \\  - 3 {y}^{2}  - 12y + 6y - 12 - 5 \\  - 3 {y}^{2}  - 6y - 17

<h3>Answer</h3>

-3y^{2}-6y-17

Helga [31]3 years ago
4 0

Answer:

-17

Step-by-step explanation:

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The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui
mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

s(t) = -16t^2+v_0t+s_0

Where,

s_0 = initial height of the object,

v_0 = initial velocity of the object,

Here,

s_0=400\text{ feet}

v_0=35\text{ feet per sec}

Hence, the height of the ball after t seconds,

s(t)=-16t^2+35t+400

When s(t) = 0,

\implies -16t^2+35t+400=0

t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}

t=\frac{-35\pm \sqrt{1225+25600}}{-32}

\implies t\approx -4.02\text{ or }t\approx 6.21

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0
3 years ago
What is the domain of the set (-3,5), (2,0), (7,-5)​
Valentin [98]

The domain is all x-values.

The domain is -3, 2, 7

The range is all y-values

The range is 5, 0, -5

Best of Luck!

4 0
2 years ago
Please answer this correctly without making mistakes
serious [3.7K]

Answer:

554/5,948

Step-by-step explanation:

burgers with pickles: 554

burgers without pickles: 5,394

total burgers = 554 + 5,394 = 5,948

ratio of numbers of burgers with pickles to total burgers: 554/5,948

6 0
3 years ago
Does the size of parachute affect the speed and why
Kryger [21]
Yes it does , more mass area = less space
6 0
3 years ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

6 0
3 years ago
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