All categories

3 years ago

3(2x − 5) = 6x + k , whats the value of k?

Mathematics

1 answer:

Alinara [238K]3 years ago

6 0

Answer:

k=-15

Step-by-step explanation:

3(2x-5)=6x+k

open the bracket by multiplying the contents of the bracket by +3

6x-15=6x+k

collect.like.terms(C.L.T)

6x-6x-k=+15

-k=+15 or

-k=15

switch the signs equal to sign(=)

k=-15

You might be interested in

Which expression correctly simplifies (312415)56?

Andreyy89

Answer:

$\sf C)\quad \large\text{$\dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}$

Step-by-step explanation:

Given expression:

$\large\text{$\left(\dfrac{3^{\frac{1}{2}}}{4^{\frac{1}{5}}}\right)^\frac{5}{6}$}$

$\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:$

$\large\text{$\implies \dfrac{\left(3^{\frac{1}{2}}\right)^\frac{5}{6}}{\left(4^{\frac{1}{5}}\right)^\frac{5}{6}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large\text{$\implies \dfrac{3^{(\frac{1}{2}\times \frac{5}{6})}}{4^{(\frac{1}{5}\times \frac{5}{6})}}$}$

Simplify:

$\large\text{$\implies \dfrac{3^{\frac{5}{12}}}{4^{\frac{1}{6}}}$}$

Learn more about exponent rules here:

brainly.com/question/27745064

brainly.com/question/27959936

5 0

2 years ago

Doug is a zookeeper in charge of monitoring the "aquatic" section at the North End Zoo. A baby dolphin was born on Wednesday and

Valentin [98]

Answer:

w(x)=2.3x+31

Step-by-step explanation:

From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:

w(x)= 2.3x+31, where:

w(x)= weight of the dolphin

x=number of days

7 0

4 years ago

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the fie

3241004551 [841]

Answer:

d) 6.750

The chi - square value = 6.750

Step-by-step explanation:

Given data

Starting Position 1 2 3 4 5 6

Number of Wins (O) 33 44 32 36 45 50

Step(i) :-

mean = $\frac{33+44+32+36+45+50}{6} = \frac{240}{6} =40$

Expected frequency = 40

Number of Wins (O) : 33 44 32 36 45 50

Expected frequency(E) : 40 40 40 40 40 40

(O - E ) : -7 4 -8 -4 5 10

(O-E)² : 49 16 64 16 25 100

$\frac{(O-E)^2}{E}$ : 1.225 0.4 1.6 0.4 0.625 2.5

Step(ii):-

The χ² test

χ² = ∑ $\frac{(O-E)^2}{E}$

χ² = 1.225 + 0.4 + 1.6 + 0.4 +0.625 +2.5 = 6.75

The chi - square value = 6.750

Final answer:-

The chi - square value = 6.750

6 0

3 years ago

Using the graph as your guide, complete the following statement.

Alex787 [66]

Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.

<h3>What can we say about the discriminant?</h3>

For a quadratic equation:

y = a*x^2 + b*x + c

The discriminant is:

D = b^2 - 4ac

If D = 0, there is only one real zero.
If D > 0, there are two real zeros.
If D < 0, there are two complex zeros.

In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.

If you want to learn more about quadratic equations:

brainly.com/question/776122

#SPJ1

8 0

2 years ago

I need help with math

seraphim [82]

It's "A"
Explanation:The formula is
V=1/3r^2πh
V=1/3*5^2*π*12
V=1/3*25*π*12
V=1/3*300π
V=100π

5 0

4 years ago