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ivanzaharov [21]
3 years ago
5

How do you translate three times a number t minus twelve equals forty

Mathematics
2 answers:
nikitadnepr [17]3 years ago
5 0
3t - 12 = 40
I'm pretty sure this is right
scoundrel [369]3 years ago
5 0
Number=n
3n+t-12=40 I guess
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Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
⭐️ Does anyone know this?!
ladessa [460]
Vertical stretch by 2 units.

B
6 0
4 years ago
A college student takes the same number of credits each semester. She had 9 credits when she started, and after 6 semesters, she
NeX [460]

Answer:

18 credits per semester

Step-by-step explanation:

7 0
3 years ago
PLS HELP! WILL GIVE BRAINLIST!
Vlad [161]

Answer:

y = 3x

Step-by-step explanation:

y = 13

x= 4

here

y∝x

that is

y= k x where k is constant

Since the equation is in the formy=kx we know that

13=K×4

k=13/4=3.25

so we can write this

y = 3.23 x ≅ 3x

4 0
3 years ago
What is the actual length of the living space if the length of the scale drawing is 16.8 centimeters? Enter your answer in the b
algol13
<h2>Answer:</h2><h2></h2><h3>21m</h3><h2></h2><h2>Explanation:</h2><h2></h2>

The diagram and complete question is shown below. We know that the length (L) of the living scale in the drawing is:

L=16.8cm

We also know that the scale is:

Scale:2cm=2.5m

Then, by using proportion we have:

\frac{2.5m}{2cm}=\frac{x}{16.8cm} \\ \\ \\ Isolating \ x: \\ \\ x=\frac{2.5m}{2cm}(16.8cm) \\ \\ \boxed{x=21m}

7 0
4 years ago
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