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3 years ago

Solve for x in the equation x2+2x+1=17

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

The left side can be written as a square. We can take the square root, then subtract 1.

... (x +1)² = 17

... x +1 = ±√17

... x = -1 ±√17

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Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money

Archy [21]

In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
and to find out how much more money he needs, you can subtract 9 from 36 which represents a fourth of the required money. the answer is 27, that's how much jim needs in order to buy his gifts.

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3 years ago

Find the value of the angle θ rounded to 1 DP.

kogti [31]

Answer:

Step-by-step explanation:

Sin 21 = $\frac{opposite side}{hypotenuse}$

Sin 21 = $\frac{BC}{15}$

0.3583 = $\frac{BC}{15}$

0.3583*15 = BC

BC = 5.3745 = 5.37 m

Tan ∅ = $\frac{opposite side}{adjacent side}$

Tan ∅ = $\frac{4}{5.37}= 0.7448$

∅ = tan⁻¹ (0.7448) = 36.67 = 36.7

5 0

2 years ago

2m 5m (i) Value of n is? (a) 21/7 (b) 22.7 (C) 22/7 (d) 7/22 10m

Crazy boy [7]

Step-by-step explanation:

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2 years ago

Write an equation in slope-intercept form of a line that has a slope of 1/2

andriy [413]

Answer: y=−12x+3.

Step-by-step explanation:

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2 years ago

Simplify the fraction and state the excluded value(s).

stira [4]

Answer:

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Factoring

Calculus

Discontinuities

Removable (Holes)
Jump (Piece-wise functions)
Infinite (Asymptotes)

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}$

Step 2: Simplify

[Frac - Numerator] Factor quadratic: $\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}$
[Frac - Denominator] Factor GCF: $\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}$
[Frac] Divide/Simplify: $\displaystyle \frac{(7x - 10)}{5}, x \neq -2$

When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

8 0

2 years ago