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3 years ago

Linda already owns 10 hair bands, and additional hair bands are priced at 1 for a dollar.

Mathematics

1 answer:

dybincka [34]3 years ago

8 0

Answer:

Step-by-step explanation:

45 total hair bands

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△HES ≅ △PBN, HE = 3.9 cm, SB = 0.9 cm, and NS = 4.5 cm What is the length of ES ?

Natali5045456 [20]

ns +sb = 5.4 cm

sb = en so en can be plugged in for sb

therefor es = 5.4

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3 years ago

Algebraic expressions

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Answer:

10y^2-3xy+6x

Step-by-step explanation:

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M–[(m–n)÷(−2)](−5), if m=−4, n=−6

Marrrta [24]

$- 4 - (( - 4 + 6) \div ( - 2))( - 5) = \\ = - 4 - (2 \div ( - 2))( - 5) = \\ = - 4 - ( - 1)( - 5) = - 4 - 5 = \\ = - 9$

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3 years ago

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For which positive integer values of $k$ does $kx^2+20x+k=0$ have rational solutions? Express your answers separated by commas a

Musya8 [376]

Answer:

-10,10

Step-by-step explanation:

The given quadratic equation is

$k {x}^{2} + 20x + k = 0$

The discriminant of this equation is given by;

$D = {b}^{2} - 4ac$

where a=k, b=20, c=k

For rational solutions, the discriminant must be zero.

${20}^{2} - 4 \times k \times k = 0$

Simplify to get:

$400 - 4 {k}^{2} = 0$

This implies that:

$400 = 4 {k}^{2}$

$100 = {k}^{2}$

Take square root to get:

$k = \pm\sqrt{100}$

$k = \pm10$

$k = - 10 \: or \: k = 10$

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3 years ago

If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?

Vikki [24]

Answer:

g(f(2)) = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 2

g(x) = x² - 5

Step 2: Find g(f(2))

f(2)

Substitute in x: f(2) = 3(2) - 2
Multiply: f(2) = 6 - 2
Subtract: f(2) = 4

g(f(2))

Substitute in x: g(4) = 4² - 5
Exponents: g(4) = 16 - 5
Subtract: g(4) = 11

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3 years ago