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2 years ago

7

What conclusion can be based on the given statement? x is a number such that 7x = 7y

1 answer:

kotykmax [81]2 years ago

7 0

Y must be equivalent to x

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The regular price of a Space Invader game is $30, but it is on sale. The discount is $15. What percent discount is this?

masha68 [24]

Answer:

50%

Step-by-step explanation:

15=30x

x=0.5

x=50%

3 0

2 years ago

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8(2f-3)=4f<br><br> Can anybody give an explanation and answer ? Algebra 1 ?

baherus [9]

Answer:

2

Step-by-step explanation:

16f - 24 = 4f

12f = 24

f = 2

4 0

2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

3 years ago

Answers need help!!!!!!

Gala2k [10]

<h3>Step-by-step explanation:</h3>

<u>Pythagorus theorum:</u>

9² = 3² + YZ²

81 - 9 = YZ²

√72 = YZ

∴YZ= 8.48 ≈ 8.5

<u>Trigonometry:</u>

We have adjacent as 3, and hypotenuse as 9

cos X = 3/9

X= cos∧-1 (3/9) → <em>[cos inversed]</em>

∴X= 70.5°

We have opposite as 3 and hypotenuse as 9

sin Z= 3/9

Z= sin∧-1 (3/9)→<em> [sin inversed]</em>

∴Z= 19.47 ≈ 19.5

4 0

2 years ago

the cheese that ms.carter used to buy costs $6.00 per pound, but it's been marked up to 15%. suppose ms.carter buys 3.5 pounds o

kap26 [50]

Original price:
6(3.5)
21
New Price:
1.15(21)
24.15

24.15-21
$3.15 more

5 0

2 years ago

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