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Morgarella [4.7K]
3 years ago
13

Solve the equation log4(x + 20) = 3

Mathematics
2 answers:
Helen [10]3 years ago
5 0

Answer:

x=44

Step-by-step explanation:

andre [41]3 years ago
4 0

Answer:

x = 44

Step-by-step explanation:

log4(x + 20) = 3

Raise each side to the power of 4

4^ log4(x + 20) = 4^3

x+20 = 4^3

x+20 = 64

Subtract 20 from each side

x+20-20 = 64-20

x = 44

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What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?
Ahat [919]
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

6 0
3 years ago
Helga is ordering five pounds of mixed nuts for a graduation party. The party budget allows $18 for the nuts. If peanuts are $2.
aksik [14]

Answer:

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Step-by-step explanation:

6 pounds of peanuts at $2 a pound is $12 and that leaves $6 for a pound of almonds totaling out to $18

6 0
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What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?
Paladinen [302]

Answer:

\vec v = 2\cdot \vec a = \langle -4,6 \rangle

Step-by-step explanation:

Let \vec a = \langle -2, 3 \rangle, we need to determine \vec v = 2\cdot \vec a, which can be found by applying the following property:

\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle, \forall \,\alpha,x,y\in \mathbb{R} (1)

Then,

\vec v = 2\cdot \langle -2,3 \rangle

\vec v = \langle -4,6 \rangle

8 0
2 years ago
If 3x + c = 4, then x equals <br>A: 4-c <br>B: 4 -c/3 <br>C: c-4/3 <br>D: c-4​
Colt1911 [192]

Answer:

4-c/3 is ans

Step-by-step explanation:

3x+c=4

3x=4-c

x=4-c/3

4 0
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otez555 [7]
2 yards = 72 inches
3 ft = 36 inches
72 - 36 = 36
She still needs 36 inches of fabric.
7 0
2 years ago
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