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3 years ago

Which linear function has initial value 7?

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Answer:

y = 3x + 7

hope it helps :)

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Find x in the equation: 2x + 9 = 5x - 12

Olegator [25]

Answer:

x = 7

Step-by-step explanation:

Add 12 to both sides:

2x + 9 = 5x - 12

2x + 21 = 5x

Subtract 2x from both sides:

21 = 3x

Divide each side by 3:

7 = x

So, x = 7

7 0

3 years ago

if the temperature was -3 degrees in the morning and 8 degrees in the afternoon the change in the temperature during that time

Fudgin [204]

There was an 11 degree difference. You have to add the -3 and the 8 to find out the number that makes the difference.

8 0

3 years ago

2x2 - 12x + 10<br>what are the roots

Tcecarenko [31]

Answer:

5 & 1

Step-by-step explanation:

We can use the quadratic formula to solve this:

Quadratic Formula = $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So we will have 2 answers (roots).

a is the coefficient of x^2 (2)

b is the coefficient of x (-12)

c is the constant (10)

Now, substituting, we get:

x = $\frac{-b+-\sqrt{b^2-4ac} }{2a}=\frac{12+-\sqrt{(-12)^2-4(2)(10)} }{2(2)}=\frac{12+-\sqrt{64} }{4}=\frac{12+-8}{4}=\frac{12+-8}{4}=5,1$

Hence the roots are 5 & 1

4 0

3 years ago

20 points.<br><br> Round off x to the nearest tenth.

Valentin [98]

Answer:

$x=15.3$

Step-by-step explanation:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Therefore, we have the following equation:

$\sin 58^{\circ}=\frac{x}{18},\\x=18\sin 58^{\circ}\approx \boxed{15.3}$

Alternative:

$\cos 32^{\circ}=\frac{x}{18},\\x=18\cos32^{\circ}\approx \boxed{15.3}$

3 0

3 years ago

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Evie and Sophie are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61/3 tons. How many

olganol [36]

Convert the 6 1/3 tons into an improper fraction:

6 1/3 = 19/3 tons.

Divide 19/3 tons by 3/4 tons per load:

19/3 / 3/4 = 19/3 * 4/3 = 76/9 = 8.4, so it will take 9 trips.

3 0

4 years ago

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