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Mama L [17]
3 years ago
9

Factorize fully the following a) 2x + 10

Mathematics
2 answers:
Harman [31]3 years ago
6 0

Answer:

2(x+5)

Step-by-step explanation:

2x+10

using two as a factor

2(x+5)

yan [13]3 years ago
5 0
2x + 2 * 5

answer: 2(x+5)
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Nadia makes a monthly income of $4,000. How much will Nadia have for impulse shopping after she pays all of her bills for the mo
Llana [10]
You add all the percentages up and it will give you 64. take 64 and put it over 100 because percentages as a fraction will always be the amount over a 100.  
so its 64/100 multiply by 4000/1. 64*4000= 256000 over 100. 256000 divided by 100 = 2560

$2560
7 0
3 years ago
Morgan's grandmother orders her groceries online and has them delivered to her house.
kotykmax [81]

Answer: The total price of the groceries, including discount and tips $110.4

Step-by-step explanation:

6 0
3 years ago
What is the coefficient of xy^2<br> in the expansion of (x+y)^3?
Basile [38]

Step-by-step explanation:

Using Binomial Expansion,

(x + y)³

= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.

Therefore the coefficient of xy² is 3C2 = 3.

5 0
3 years ago
Read 2 more answers
Graph the function.
RideAnS [48]

Answer:

\displaystyle{y=-3x-1}

Step-by-step explanation:

I have two methods: <u>standard-learning</u> which will explain overall mathematically - basically formula, etc. - while the other one <u>trick-tips</u> method will rely on choices rather mathematical calculations but with explanation on <em>why</em> and <em>how.</em>

<h3>Standard-Learning</h3>

First, let’s pick two points that are integers since they are easily to be found via graphs. We see that (-1,2) and (0,-1) is a part of the graph so now we finally have picked two points for our calculations.

When we have finally picked two points, we will be using them for <u>slope calculation</u>. This part is <u>crucial</u> for finding an equation of a line because a line has to contain slope in its equation.

To calculate the slope, we use rise over run formula which is:

\displaystyle{\dfrac{\Delta y}{\Delta x} = \dfrac{y_2-y_1}{x_2-x_1}}

Note that \displaystyle{\Delta} is delta - in both mathematic and physics, it means <u>changes in</u>.

So, we will be using those two points that we have picked to substitute in the slope formula. Let’s determine that \displaystyle{(x_2,y_2)=(-1,2)} and \displaystyle{(x_1,y_1)=(0,-1)}.

Therefore, our slope will be:

\displaystyle{m=\dfrac{2-(-1)}{-1-0}}\\\\\displaystyle{m=\dfrac{2+1}{-1}}\\\\\displaystyle{m=-3}

Next, find the y-intercept. From the graph, we see that the graph intercepts at (0,-1) which is y-intercept so we will only use y-value. Hence, b = -1.

From the slope-intercept form:

\displaystyle{y=mx+b}

Substitute m (slope) = -3 and b (y-intercept) = -1. Hence, the equation of line is:

\displaystyle{y=-3x-1}

<h3>Fast Way (Trick-Tips)</h3>

Relying on choices and knowledge of graph, notice that there are slopes of 3 and -3.

Keep in mind that if slope is negative, it will decrease down and if slope is positive, it will increase up.

Therefore, cut off all choices with positive slopes which are 1 and 3. We are now left with 2 and 4.

Next, look at the graph and tell its y-intercept. It intercepts y at y = -1 so we take value of -1.

So choice 4 is cut off and now we have choice 2 as the answer.

Learn More:

brainly.com/question/27514958 - Find the line equation with given points

8 0
2 years ago
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store
jasenka [17]

Step-by-step explanation:

To find out how much she spent:

30 - 27.15 = 2.85

Change it to cents:

2.85 x 100 = 285 cents

Calculate how many yards of ribbon she bought:

285 / 19 = 15

Therefore, she bought 15 yard of ribbon.

6 0
1 year ago
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