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bearhunter [10]
3 years ago
10

Mario has read two less than four times the number of books Tonya has read. what factored expression represents the number of bo

oks, x, Mario has read?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
Let X be the variable used to represent the expression of the total number of books that Mario has read.
We used 4X to represent "four times the number of books". Then we add -2 to interpret the words "for two less than".
Therefore, we have an expression of 4X-2 for the total number of books that Mario has read.

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in
pav-90 [236]
<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
Jamie takes at random a counter from the bag and records the colour. Red : blue : green = 1:3:7 Jamie does this a number of time
Sonbull [250]

Answer: There are 249 times Jamie takes a counter from the bag.

Explanation:

Since we have given that

Ratio of colour of red to blue to green is 1:3:7.

Number of blue counters = 68

Let the total number of times Jamie does from the bag be x.

So, According to question,

\frac{3}{11}\times x=68\\\\x=\frac{11}{3}\times 68\\\\x=249.33\\\\=249\ approx.

Hence, there are 249 times Jamie takes a counter from the bag.

8 0
3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 2.5 miles to km.
Digiron [165]

Answer:

4km

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

5m=8km

2.5m=4km

8\div2=4

5=2.5+2.5

=4km

Hope this helps

7 0
2 years ago
Please help me ASAP!
Vsevolod [243]

Answer:

1. A=300miles B=300

2.A=50mph B=40mph

3.A=300miles B=200miles

Step-by-step explanation:

<em><u>1.</u></em>

Simply just read the graph

<em><u>2.</u></em>

do not let line B fool you, car b may look like it was faster, but unlike car a it started at 100 miles rather than 0 miles

<em><u>3.</u></em>

Just like 2, do not be fooled, you have to subtract to find b but a is easily found

I hope this helps u pls give a brainliest and a thx ;)

5 0
3 years ago
Is it the 10s? i dont really know
ella [17]

Answer:

Yes

Step-by-step explanation:

8 0
3 years ago
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