All categories

3 years ago

6(2x - 7) – 3 = 12x - 21 What is the answer

Mathematics

2 answers:

Svetllana [295]3 years ago

5 0

Answer:

no solution

Step-by-step explanation:

12x - 42 - 3 = 12x - 21

12x - 45 = 12x - 21

-45 ≠ -21

irina1246 [14]3 years ago

5 0

Answer:

No solution

Step-by-step explanation:

6(2x - 7) - 3 = 12x - 21

First, you have to use the distributive property on the left side.

12x - 42 - 3 = 12x - 21

You will have to add like terms on the left side.

12x - 45 = 12x - 21

Now you can subtract 12x (from either side) from both sides.

12x - 45 - 12x = 12x - 21 - 12x

-45 = -21

-45 is not equal to -21, therefore, there is no solution, or the euqation is not true.

You might be interested in

g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (

Kruka [31]

Answer:

$P(x=4) = 0.200$

Step-by-step explanation:

Given

$n=10$ --- selected customers

$x = 4$ --- those that are expected to use the restroom

$p =30\% = 0.30$ --- proportion that uses the restroom

Required

$P(x = 4)$

The question illustrates binomial probability and the formula is:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}$

$P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6$

$P(x=4) = 210* (0.30)^4 * (0.70)^6$

$P(x=4) = 0.200$

4 0

3 years ago

Which table represents an exponential function?

White raven [17]

Answer:

2nd one is the answer if it's the question

3 0

3 years ago

If the leading coefficient of a polynomial function is positive, the graph will go

Greeley [361]

Step-by-step explanation:

the leading coefficient means the coefficient (factor) of the term with the highest exponent of the variable (typically x).

with sufficiently large values of this variable (x - going far enough to the right) this term will "win" in value against any other term of the polynomial expression.

and therefore the sign of its factor (coefficient) will determine, if the curve will go up or down.

a positive factor (coefficient) will make the value of this term and therefore of the whole polynomial larger and larger, making the curve going up to +infinity.

a negative factor (coefficient) will make the value of this term and therefore of the whole polynomial smaller and smaller (more negative and more negative), making the curve going down to -infinity.

7 0

1 year ago

an empty box weighs 5 ounces. Jenna puts 10 calculators in the box. The total weight of the box and calculators is 95 ounces. Cr

fenix001 [56]

Answer:

95=(y/10)-5

Step-by-step explanation:

3 0

3 years ago

Given: △ABC, m∠A=120°, AB=AC=1<br> Find: The radius of circumscribed circle

Citrus2011 [14]

In Δ ABC, ∠A=120°, AB=AC=1

To draw a circumscribed circle Draw perpendicular bisectors of any of two sides.The point where these bisectors meet is the center of the circle.Mark the center as O.

Then join OA, OB, and OC.

Taking any one OA,OB and OC as radius draw the circumcircle.

Now, from O Draw OM⊥AB and ON⊥AC.

As chord AB and AC are equal,So OM and ON will also be equal.

The reason being that equal chords are equidistant from the center.

AM=MB=1/2 and AN=NC=1/2 [ perpendicular from the center to the chord bisects the chord.]

In Δ OMA and ΔONA

OM=ON [proved above]

OA is common.

MA=NA=1/2 [proved above]

ΔOMA≅ ONA [SSS]

∴ ∠OAN =∠OAM=60° [ CPCT]

In Δ OAN

$\cos60=\frac {AN}{OA}$

$\frac{1}{2}=\frac{\frac{1}{2}}{OA}$

OA=1

∴ OA=OB=OC=1, which is the radius of given Circumscribed circle.

4 0

3 years ago