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ra1l [238]
3 years ago
9

Solve the system by substitution. y = 3x + 28 y = -4x

Mathematics
1 answer:
Mazyrski [523]3 years ago
3 0

Answer:

(-4, 16)

Step-by-step explanation:

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Suppose a randomly generated list of numbers from 0 to 9 that has a probability success of 80%. which of these groups of numbers
maria [59]
A is the answer because it is the widest variety
3 0
3 years ago
Evaluate the function at each specified value of the independent variable and simplify. (if an answer is undefined, enter undefi
tekilochka [14]

For this case we have the following function:

h (t) = t ^ 2 - 8t

What we should do is evaluate the function for the different values of the independent variable.

We have then:

For x = 8:

h (8) = (8) ^ 2 - 8 (8)

h (8) = 64 - 64

h (8) = 0

For x = 1.8:

h (1.8) = (1.8) ^ 2 - 8 (1.8)

h (1.8) = 3.24 - 14.4

h (1.8) = -11.16

For x = x + 8:

h (x + 8) = (x + 8) ^ 2 - 8 (x + 8)

h (x + 8) = x ^ 2 + 16x + 64-8x-64

h (x + 8) = x ^ 2 + 18x

Answer:

The results of evaluating the function are:

h (8) = 0

h (1.8) = -11.16

h (x + 8) = x ^ 2 + 18x

5 0
2 years ago
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?
ExtremeBDS [4]

Answer:

$106

Step-by-step explanation:

<em>So, this is what we know: </em>

$6 per vehicle (1 bus) + $2 per person (50 people)

<em>Here is the solution: </em>

= $6 + $100

= <u>$106</u>

3 0
2 years ago
Use the Law of Cosines to find angle round to the nearest tenth if necessary).
ad-work [718]

Answer:

Step-by-step explanation:

3a)

find side HP  , let's set side HP = c in the law of cosines formula

then

c = sq rt [ 23^2 + 12^2 - 2*12*23*cos(117) ]

c = sq rt [ 529 + 144 - (-250.6027559) ]

c = sq rt [ 673 + 250.6027559 ]

c = sq rt [ 923.602755 ]

c = 30.39

then

HP = 30.4  ( rounded to nearest 10th )

3b)

let PR = c, then law of cosines is (we need angle Q also 180=24+97+Q is 59°

c = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

c = sq rt [ 81 + 484 -396*0.5150380 ]

c = sq rt [ 565 - 203.955 ]

c = sq rt [ 391.04495]

c = 19.7748

PR = 19.8  ( rounded to nearest 10th )

3c)

they want us to find ∠B,   in the formula for cosines ∠B is really ∠C, it's a bit confusing.. I'm sure they did that on purpose to mess people up.  Kind of underhanded  :/    Tell the teacher that you're "appalled" at the deviousness of the test  :/   stage a protest against math that teaches treachery  :P  storm the principals/ dean's  office with paper airplanes and pictures of anime   :DDD  okay back to math.

a=28

b=17

c=15

since we want angle B then the formula looks like

B= arcCos ( a^2 + c^2 - b^2 / 2*a*c)  so we'll avoid messing up the which side is which ... by setting up the formula this way   .. got it?

B = arcCos [28^2 + 15^2 - 17^2 / 2*28*15]

B = arcCos[784 + 225 - 289 /840 ]

B = arcCos[720/ 840]

B = arcCos[0.85714285]

B = 31.0027 °

that it came out so close to an integer I'm pretty sure it's right

∠B = 31 .0 °  ( rounded to the nearest 10th )

3d)

find ∠A

set it up carefully again, they are asking us to move the variable around again

a = 18

b= 28

c= 12

then the formula looks like

∠A = arcCos[ b^2 + c^23 - a^2 / 2*b*c ]

∠A = arcCos[28^2 + 12^2 - 18^2 /2*28*12 ]

∠A = arcCos[784 + 144 -324 / 672 ]

∠A = arcCos[604/672]

∠A = arcCos[0.8988095]

∠A =25.99797 °

∠A =26.0 °  ( rounded to nearest 10th)

7 0
3 years ago
To get to his parents’ house, Ruben would have to drive due north 12 miles. To get to his grandparents’ house, he would have to
Nata [24]

Answer:

d = 15 miles

Step-by-step explanation:

To get to his parents’ house, Ruben would have to drive due north 12 miles.

To get to his grandparents’ house, he would have to drive due east 9 miles.

It is required to find the distance between the parents’ and grandparents’ houses.

First distance is 12 miles and second distance is 9 miles.

So,

d=\sqrt{12^2+9^2} \\\\d=15\ \text{miles}

So, the distance between the parents’ and grandparents’ houses is 15 miles.

6 0
3 years ago
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