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san4es73 [151]
2 years ago
10

Please can you give the answer of this, 8x+5y=23 -8x+9y=-19

Mathematics
1 answer:
Lady_Fox [76]2 years ago
3 0
8X+5Y=23
8X=23-5Y

-8X+9Y= -19 multiple all by -1
8X-9Y=19
8x=23-5y
Plug that in
23-5Y-9Y=19
-14Y=19-23
-14Y= -4
Y=1

8X=23-5Y
8X=23-5•1
8X=23-5
8X=18
X=18/8
X=9/4
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The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.
garri49 [273]

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20

3 0
3 years ago
Which of the following is a function equivalent to f(x) = 3(1.7)4x? (5 points) f(x) = 25.06x f(x) = 3(8.35)x f(x) = 3(8.25x) f(x
denis23 [38]

Answer:


Step-by-step explanation:

Given:  f(x) = 3(1.7)4x

This can also be looked at as:  f(x) = 3 × 1.7 × 4 × x

You can multiply the three values four different ways and they will all be equivalent.

f(x) = (3 × 1.7) × 4 × x = 5.1(4)x

f(x) = 3 × (1.7 × 4) × x = 3(6.8)x

f(x) = 1.7 × (3 × 4) × x = 1.7(12)x

f(x) = 3 × 1.7 × 4 × x = 20.4x


7 0
3 years ago
Read 2 more answers
A metal cube
Ierofanga [76]

Answer: 2.73 cm

Step-by-step explanation:

Given that :

Side (a) of cube = 4.4cm

Volume of a cube (V) = a^3

V = 4.4^3

V = 85.184cm^3

Therefore, volume of the sphere made = 85.184cm^3

Volume of sphere = 4/3 πr^3

Where r = radius

85.184 = (4/3)*(22/7)*r^3

85.184 = (88/21)*r^3

85.184 = 4.1905 * r^3

r^3 = 85.184 / 4.1905

r^3 = 20.327884

Take the cube root of both sides

r = 2.73 cm

5 0
3 years ago
If a triangle has sides of 8,11, and 13. Is it a right triangle?
Vera_Pavlovna [14]

If a² + b² = c², then the triangle is <u>right</u>.

So we have (8)² + (11)²  <u>?</u>  (13)²

(8)² is 64, (11)² is 121, and (13)² is 169.

So we have 64 + 121 <u>?</u> 169

64 + 121 is 185 and we can see that 185 > 169.

This triangle would not be a right triangle.

In fact, it would be an acute triangle.

So no, it's not a right triangle.

8 0
3 years ago
Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his
Romashka-Z-Leto [24]

Answer:

\frac{1}{15}

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  \frac{1}{15}

3 0
3 years ago
Read 2 more answers
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