MATHEMATICS HIGH SCHOOL

What is the solution to the linear equation?

6k + 10.5 = 3k + 12

Answers

Answer 1

Answer:

Answer: 0.5

Step-by-step explanation:

The given equation: $6k + 10.5 = 3k + 12$

To solve the above equation for k , we first subtract 3k from both the sides , we get

$6k + 10.5 -3k= 3k + 12-3k\n\n\Rightarrow\ 3k+10.5=12$

Subtract 10.5 from both sides

$3k=12-10.5\n\n\Rightarrow\ 3k=1.5$

Divide 3 on both the sides , we get

$k=(1.5)/(3)=0.5$

Hence, solution to the linear equation : k = 0.5

Answer 2

Answer: 6k+10.5=3k+12
-10.5 -10.5
6k=3k+1.5
-3k -3k
3k=1.5

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4 is what percent of 20

Answers

20%
Finding percentage u have to
Divide 4/20= 0.2 then multiply by 100 to get percentage which is 20%

mike is taking a his social studies test . mike was only able to finish 1/6 of the test in 1/2 hour. how long will it take him to finish the test?

Answers

$1-(1)/(6)=(5)/(6)\n\n\begin{array}{ccc}(1)/(6)\ of\ the\ test&-&(1)/(2)\ h\n\n(5)/(6)\ of\ the\ test&-&x\ h\end{array}\ \ \ \ |cross\ multiply\n\n\n(1)/(6)x=(1)/(2)\cdot(5)/(6)\n\n(1)/(6)x=(5)/(12)\ \ \ \ \ |multiply\ both\ sides\ by\ 6\n\n\boxed{x=(5)/(2)=2.5\ (h)}\leftarrow time\ he\ will\ have\ to\ do\ the\ test\n\n\ntotal\ test\ time:2.5\ h+0.5\ h=3\ h$

1/2*6 = 3. It will take him 3 hours to finish his test if he continues on the same rate

PLEASE HELP 100 POINTS1. Rewrite both and from standard form into vertex form. Explain your process. HINT: Each
function has a common factor. Start by dividing it out.
2. State the vertex of each function. What does each vertex represent in context of The Twist?
3. Compare the a-value of to the a-value of the parent quadratic function. What effect does this
value have on a parabola?
4. Sketch both of the functions and on a single xy-plane. Describe the steps you took to create
your sketch.
5. use the vertex forms of and the sketch you created in question for to describe the track changes that occur when the function that represents The climb hill is altered from two do you think these changes will help younger riders better enjoy the twist? explain.

Answers

Final answer:

The question discusses the conversion of quadratic function from standard to vertex form, identification and interpretation of the vertex, the importance of the 'a-value', and graphing parabolas. The functions to be converted and compared are not given in the question.

Explanation:

I'm afraid there are some missing pieces in your question as the functions to be converted and compared are not specified. However, I can provide you with a general process for transitioning from standard form to vertex form for quadratic functions, identifying the vertex, comparing the a-value with the parent function, drawing graphs and analyzing changes.

To convert from standard form (f(x) = ax^2 + bx + c) to vertex form (f(x) = a(x-h)^2 + k), you complete the square. Here are the steps in general:

From your standard form equation, identify a, b, and c.
Divide all terms by 'a', if 'a' is not 1.
Rewrite the equation: y = (x^2 + (b/a)x) + c/a.
Take half of b/a, square it and add and subtract it within the parentheses.
Rewrite the equation as: y = [(x+h)^2 - (h^2 -c/a)] where h is half of b/a.
The resulting equation is in vertex form.

The vertex of the parabola is represented by the values of 'h' and 'k'. The vertex often represents the minimum or maximum point of a situation when the parabola models real-world phenomena.

Comparing the 'a-value' of your function to the 'a-value' of the parent function (which is usually 1), tells you about the vertical stretch or compression and the direction of the parabola.

When sketching, you usually plot the vertex first, find the axis of symmetry and then plot some points.

Learn more about Quadratic Functions here:

brainly.com/question/35505962

#SPJ2

Answer:

Rewrite both and from standard form into vertex form.

f(x)=(0.10x+18)^2-5.64

g(x)=(0.03x+0.81^2-7.5261

(18,30) (27,15)

the a-value of the parent quadraic function affects the parabola by it open downwards

Step-by-step explanation:

What is the anwser to 10-4.7

Answers

Simply subtract by converting the whole number to a decimal;
10 = 10.00

Now lets subtract the two decimals;
10.00 - 4.7 = 5.3

Hope this helps :)

the answer is 5.3 if you subtract 4.7 from 10 you will get 5.3 hope this helps!:)

PLEASE HELP I WILL GVE BRAINLIEST