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Readme [11.4K]
3 years ago
5

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

h and science homework last night how long did i he spend on homework?
Mathematics
1 answer:
den301095 [7]3 years ago
6 0

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x  + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

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Can someone help me with number 8 please? Thank you.
Naddik [55]
Answer: -4 \le x \le 5
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}

------------------------------------------------------------------------------

Explanation:

The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.

So that's how I got -4 \le x \le 5 (x is between -4 and 5; inclusive of both endpoints)

Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"

Writing \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\} is the set-builder notation way of expressing the domain. The x\in\mathbb{R} portion means "x is a real number"

6 0
3 years ago
Simplify each equation <br> (x^4)(x^2)
BartSMP [9]
Ok, so remember the exponentioal law that says
( x^{m} )(x^{n})=x^{m+n} so


( x^{4} )(x^{2})=x^{4+2}= x^{6}

answe ris x^6
5 0
3 years ago
Read 2 more answers
Write the equation of the line passing through the points (44,6) and (-4,-6)
Verizon [17]

Answer:

Y = 1/4x - 5

Step-by-step explanation:

Slope (m = y2-y1 / x2-x1) is 1/4 and using one point substituting it instead of x and y you get y - intercept of -5.

Hope this helps. Pls give brainliest.

4 0
3 years ago
In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard devi
Nataliya [291]

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

3 0
3 years ago
Im learning Polynomials and we are learning the strategy grouping, can anyone please explain how to group polynomials and maybe
crimeas [40]
Grouping is when you have to terms that are the same inside the parenthesis and a different or same number outside the parenthesis and then the one inside the parenthesis u are going to group them not combined them and write them once and the numbers inside the parenthesis group them together by adding them and put parenthesis between them

Ex
5(4x+1)10(4x+1)
(5+10)(4x+1)
6 0
3 years ago
Read 2 more answers
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