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dybincka [34]
3 years ago
13

Problem Page

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

the desired equation is y = -5x + 2

Step-by-step explanation:

The general slope-intercept form is y = mx + b.  Here we know that m = -5 and b = 2, so the desired equation is y = -5x + 2.

You might be interested in
Boxes hold various numbers of square-based prisms in a single column. The square base of each prism has a side length of 18 inch
Vinvika [58]

Answer:

b(V) = \frac{V}{108}

Step-by-step explanation:

The square base of each prism has a side length of 18 inches. The height of each prism, h, can be found using the function, where V is the volume of the prism.

So, V = 18² × h = 324h

⇒ h = \frac{V}{324} .......... (1)

Now, given that the total height of the box, b, can be found using the function b(h) = xh, where x is the number of square-based prisms in a specific box.

Therefore, the box having 4 square prism will have height

b(h) = 3h

⇒ b(V) = 3 \times \frac{V}{324} {From equation (1)}

⇒ b(V) = \frac{V}{108} (Answer)

8 0
3 years ago
By factoring, identify the zeros of the quadratic function f (x) = x²-9x-22
vovikov84 [41]

Answer:

x= -2, x= +11

Step-by-step explanation:

I hope this is right!

To factorise, we need two numbers that add to make -9 and multiply together to make -22.

2 - 11 works, so we put it in the brackets in this order.

(x + 2) (x - 11)

so x + 2 = 0 and x - 11 =0

but we could also simplify this to say that x could be either -2 or + 11.

I hope this helps.

Have a lovely day.

7 0
2 years ago
Line AB is tangent to circle O at A. The diagram is not drawn to scale.
Arlecino [84]
AO = 21
BC = 14
OC = radius of the circle = AO = 21
∴ OB = OC + CB = 21 + 14 = 35
<span>Line AB is tangent to circle O at A</span>
∴ AB is perpendicular to AO
∴ Δ OAB is a right triangle at A
Applying Pythagorean theorem
∴  OB² = AO² + AB²
∴ AB² = OB² - AO² = 35² - 21² = 1225 - 441 = 784
∴ AB = √784 = 28
<span />
8 0
4 years ago
Mass: 21 g volume:7cm3 density.
AfilCa [17]
D = M/V

D= 21/7

D = 3 g/cm3
3 0
3 years ago
The histogram shows the number of morning customers who visited North Cafe and South Cafe over a one-month period. What is the b
astra-53 [7]

Answer:

1) Mean 2) Standard deviation 3) symmetric

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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