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iren2701 [21]
3 years ago
11

Please do this questions its for 100 point will chose brainiest do in full please

Mathematics
2 answers:
sertanlavr [38]3 years ago
5 0

Answer:

e) x^2-17x+72  ......  multiply two binomials

f)  6x(x^3-2)   ......... common  factoring

g) (x+6)(x+2)    .............factor a trinomial

h) x^2+12x+35 ......  multiply two binomials

i)  (x+6)(x-6)  ................difference of squares

Step-by-step explanation:

e)

(x-8)(x-9)

=x(x-9)-8(x-9)

=x^2-9x-8x+72

=x^2-17x+72  ......  multiply two binomials

f)

6x^4-12x

= 6(x^4 - 2x)

= 6x(x^3-2)   ......... common  factoring

g)

x^2+8x+12

= x^2+2x +6x+12

= x(x+2) + 6(x+2)

= (x+6)(x+2)    .............factor a trinomial

h)

(x+7)(x+5)

=x^2+5x + 7x +35

= x^2+12x+35 ......  multiply two binomials

i)

x^2 - 36

= (x+6)(x-6)  ................difference of squares

Dafna1 [17]3 years ago
4 0

Answer:

\boxed{\mathrm{view \: explanation}}

Step-by-step explanation:

(e) (x-8)(x-9)

     Multiplying two binomials.

    x(x-9)-8(x-9)

    x² -9x - 8x + 72

    x² - 17x + 72

(f) 6x⁴ - 12x

   Common factoring.

   6x(x³ - 2)

(g) x² + 8x + 12

     Factoring trinomial of the form ax² + bx + c.

    x² +2x + 6x + 12

    x(x + 2) + 6(x + 2)

    (x + 2) (x + 6)

(h) (x + 7)(x + 5)

     Multiplying two binomials.

    x(x + 5)+7(x + 5)

     x² + 5x + 7x + 35

    x² + 12x + 35

(i) x² - 36

    Difference of two squares.

   a² - b² = (a + b)(a - b)

    x² - 6²

   a = x,    b = 6

    (x + 6)(x - 6)

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The cost for two different companies to make x candles is shown on the graph.
tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0
2 years ago
8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in
ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9

Thus, after 9 years the account will be worth 13709.60$

5 0
3 years ago
Read 2 more answers
A muffin recipe calls for 2/5 tablespoons of vanilla extract for 6 muffins. Arthur is making 18 muffins. How much vanilla extrac
GuDViN [60]
2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins

If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:

x * 6 = 18 * 2/5
x * 6 = 36/5    /6
x = 36/5 / 6
x = 6/5 = 1 1/5

Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.
7 0
3 years ago
How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each label
Sergeu [11.5K]

Answer:

6 x 3c

Step-by-step explanation:

6 0
3 years ago
I will give brainliest!!!! Which expressions are equivalent to x+x+x+2? Choose 2 answers: A 3x + 2 (Choice B) B 3 + 2x (Choice C
____ [38]

Answer:

the answer is a and d ! hope it help

Step-by-step explanation:

5 0
3 years ago
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