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Serhud [2]
3 years ago
5

15 POINTS!!! HELP ASAP! Liz wants to write the phrase “the difference of seven and the number squared” as an algebraic expressio

n. She wrote out several expressions in the table. Which expression correctly represents the phrase.
Expression number ____?

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

7-n^2 (#3)

Step-by-step explanation:

"the difference of" means subtract following number from preceding number in this case 7 from an unknown and it wants this number squared therefore 7 - n^2 is your answer

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Find the exact value by using a half angle identity.tan 75°
kramer

The trigonometric function is given as

\tan 75^{\circ}

Apply the half angle identity to find the value of tan 75 ,

\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}

Here,

\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}

Now rationalize the function.

\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}

Again simplify the trigonometric function,

\tan 75^{\circ}=2+1.732=3.732

Hence the answer is 3.732.

5 0
1 year ago
Which equation represents this situation?
Nataly [62]
C h is dirk. H-1.5 is Charlie. Combined they sum to total 25
7 0
2 years ago
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A store sells a gas can that can hold 35/8 gallons of gasoline. What is of the gas can in gallons, expressed as a mix number?
Novay_Z [31]
I thinks its 4.375 all u do is divide 35 by 8
7 0
3 years ago
PLEASE HELP IM STUCK. <br><br> List the factors of the third term: 6n^3-n^2+5n/8-11
mafiozo [28]

Answer:

The factors for 5 are going to be 1 and 5 or their negative counterparts, since no other whole number within the range of 5 can be multiplied to get 5.

Make sense?

5 0
3 years ago
Please help with this
omeli [17]

Answer:

y =  \frac{1}{8} x - 3

Step-by-step explanation:

Formula for straight lines:

y = mx + b

where m = slope, b = constant

Given:

y-intercept = -3 (0, -3)

m = ⅛

Substitute into formula to find b.

- 3 =  \frac{1}{8} (0) + b \\  - 3 = 0 + b \\ b =  - 3

Substitute b into original formula

y = mx + b \\ y =  \frac{1}{8} x + ( - 3) \\ y =  \frac{1}{8} x - 3

4 0
3 years ago
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