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3 years ago

Solve the inequality -2z-3<5. what is the value of z?

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5 add 3 to both sides

-2z < 8 divide both sides by -2, and flip the inequality sign

z > -4

Good luck! Hope it helps, and have a great day!

Strike441 [17]3 years ago

6 0

Answer:

The answer is z > -4

but a line down were is the (>)

I ready!

holpe it help

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Without calculating the sum, determine whether each answer will be rational or irrational.

Ray Of Light [21]

Answer:

Irrational

rational

Step-by-step explanation:

7 0

3 years ago

Electrical resistance ina wire is directly proportional to its length and inversely proportional to the square of its diameter.

LenaWriter [7]

Initial Conditions:

length=L= 10 cm = (10*10⁻²)m
Diameter=D= 2 cm= (2*10⁻²)m
Radius= r= 0.01m
Area=A= π*r²/2 =1.57*10⁻⁴ m²

Resistance=R= 600 ohm

So, from initial conditions we find resistivity(р)
R=рL/A
R*A /L=р
(600)*(1.57*10⁻⁴)/(10*10⁻²)=р
р=0.942 Ω m
As, material remains same so resistivity(p) doesn't change

Lenght= L1= 15 fm= 15*10⁻¹⁵ m
Diameter= D1 = 5 cm= 5*10⁻² m
Radius= r= 0.025 m
Area= A1= π*r²/2 =9.8125*10⁻⁴ m²
R=р*L1/A1
R=(0.942 )*(15*10⁻¹⁵ )/(9.8125*10⁻⁴)
R=1.44*10⁻¹¹ Ω

3 0

4 years ago

Help please I need help

Katarina [22]

The answer should be 20

4 0

4 years ago

HELP ASAP THIS IS GEOMETRY

tekilochka [14]

Answer:

x=48

y=70

step by step explanation:

In the question,

Since the triangle two sides of the traingle is equal, it is an isosceles triangle.

For an isosceles triangle, angles opposite to equal sides are equal,

Hence,

$(x + 7) = 55$

$x = 55 - 7$

$x = 48$

$y = 180 - (55 + 55)$

$y = 180- 110$

$y = 70$

3 0

3 years ago

Match the y-coordinate with the given x-coordinate for the equation y = log10x.

Andrew [12]

The non-algebraic functions are called transcendental functions. This include the logarithmic function. The definition of Logarithmic Function with Base a is as follows:

$For \ x\ \textgreater \ 0, \ a \ \textgreater \ 0, \ and \ a \neq 1 \\ \\ y=log_{a}x \ if \ and \ only \ if \ x=a^{y} \\ \\ Then: \\ \\ f(x)=log_{a}x \\ \\ is \ called \ the \ logarithmic \ function \ with \ base \ a.$

We know that the equations is:

$y=log(10x)$

So let's solve each case:

Case 1

$x=\frac{1}{100} \\ \\ y=log(10(\frac{1}{100})) \\ \\ \therefore y=log(\frac{1}{10}) \\ \\ \therefore y=-1 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{100}} \ matches \ to \ \boxed{y=-1}$

Case 2

$x=\frac{1}{10} \\ \\ y=log(10(\frac{1}{10})) \\ \\ \therefore y=log(1) \\ \\ \therefore y=0 \\ \\ So: \\ \\ \boxed{\ x=\frac{1}{10}} \ matches \ to \ \boxed{y=0}$

Case 3

$x=1 \\ \\ y=log(10(1)) \\ \\ \therefore y=log(10) \\ \\ \therefore y=1 \\ \\ So: \\ \\ \boxed{\ x=1} \ matches \ to \ \boxed{y=1}$

Case 4

$x=10 \\ \\ y=log(10(10)) \\ \\ \therefore y=log(100) \\ \\ \therefore y=2 \\ \\ So: \\ \\ \boxed{\ x=10} \ matches \ to \ \boxed{y=2}$

Case 5

$x=100 \\ \\ y=log(10(100)) \\ \\ \therefore y=log(1000) \\ \\ \therefore y=3 \\ \\ So: \\ \\ \boxed{x=100} \ matches \ to \ \boxed{y=3}$

5 0

4 years ago

Read 2 more answers