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3 years ago

Simplify the expression 43 + 2(3 − 2)

Mathematics

2 answers:

Sonja [21]3 years ago

8 0

Answer:

))))))

Step-by-step explanation:

43+2(3-2)=43+2*3-2*2=43+6-4=45

masya89 [10]3 years ago

5 0

Answer:

Step-by-step explanation:

43 + 2(3-2)

43 +2 (1)

43 + 2

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At the start of 2014, tim house was worth £100,000 the value of the house increases by 10%per every year work out the value of h

kotykmax [81]

Answer:

$146410

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years

100,000 x (1.1)^4 = $146410

4 0

3 years ago

Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

Use $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

5 0

4 years ago

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the

harkovskaia [24]

Answer:

the answer is d

Step-by-step explanation:

6 0

4 years ago

4 (b - 3 ) = 6 steps in order from first to last

Amiraneli [1.4K]

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

8 0

4 years ago

Read 2 more answers

Which of the following angles are congruent to 6? select all that apply.

sveta [45]

Answer:

which of the following angles are congruent to 6? select all that apply.

A. 1

<em><u>B. 3</u></em>

<em><u>C. 2</u></em>

D. 4

8 0

3 years ago