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mezya [45]
3 years ago
7

Solve for z −4z + 31 ≥ 17z + 23

Mathematics
2 answers:
mojhsa [17]3 years ago
6 0

Answer:

z ≤ 8/21

​

Step-by-step explanation:

Flip the inequality sign since you are multiplying by a negative number

 21z-8  ≤ 0

1.2    Divide both sides by  21  

 z-(8/21)  ≤ 0

Add  8/21  to both sides

z ≤ 8/21

Natali [406]3 years ago
3 0

z  \leqslant  \frac{8}{21}

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What is the length of AC
meriva
Hi!
This is a fun one, as it delves into basic trigonometry.

We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,

a² + b² = c²

We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)

Let's do the one on the right first.

We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).

a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6

Therefore, the length of DC is about 7.6.

Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.

Have a great one!
7 0
2 years ago
What is the range of the function shown below?
Ivenika [448]

Answer:

Step-by-step explanation:

{ - 9, - 4, - 1}

5 0
3 years ago
ASPPPPPP!!!
KiRa [710]
The answer should be b
The other one should be 8
3 0
3 years ago
Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot? f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript
PIT_PIT [208]

Answer:

  f(x)=4\sqrt[3]{16}^{2x}

Step-by-step explanation:

We believe you're wanting to find a function with an equivalent base of ...

  4\sqrt[3]{4}\approx 6.3496

The functions you're looking at seem to be ...

  f(x)=2\sqrt[3]{16}^x\approx 2\cdot2.5198^x\\\\f(x)=2\sqrt[3]{64}^x=2\cdot 4^x\\\\f(x)=4\sqrt[3]{16}^{2x}\approx 4\cdot 6.3496^x\ \leftarrow\text{ this one}\\\\f(x)=4\sqrt[3]{64}^{2x}=4\cdot 16^x

The third choice seems to be the one you're looking for.

9 0
3 years ago
Read 2 more answers
Answer this question please
Lilit [14]
20b + 18s < = 150 (thats less then or equal)
3 0
2 years ago
Read 2 more answers
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