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3 years ago

Determine the factors of x^2 - 7x - 10.

Mathematics

2 answers:

Musya8 [376]3 years ago

8 0

Answer:

x^2 - 7x - 10

Think about it like this: What two numbers multiply to get -10 and add to get -7?

But no matter what we try, this doesn't work. And that's because x^2 - 7x - 10 is actually prime.

So "Prime" is the correct answer.

Let me know if this helps.

Alexandra [31]3 years ago

7 0

Answer:

O Prime

Step-by-step explanation:

x^2 - 7x - 10

What two numbers multiply to -10 and add to -7

There are no two number that multiply to -10 and add to -7

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ILL MARK BRAINLIEST!

Ket [755]

Answer:

D. (-2, -11)

Step-by-step explanation:

Since -2 - 9 = -11, it fits into the equation x - 9 = y, with -2 being "x" and -11 being "y".

And out of all the options, D is the only one that works.

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3 years ago

Write each number in standard form 62 hundreds and 30 tens

mestny [16]

We are given : 62 hundreds and 30 tens .

To find : the number in standard form.

Soltuion: We know hundreds represents times 100.

Also tens reprents times 10.

In order to find the values of 62 hundreds, we need to multiply 62 by 100.

In order to find the values of 32 tens, we need to multiply 32 by 10.

62 × 100 = 6200

32 × 10 = 320.

Now, we need to add those numbers above.

6200 + 320 = 6520.

In simple, we could also show as

62 hundreds and 30 tens = 62 × 100 = 30 × 10 = 6200+300 = 6520.

Therefore, standard form is 6520.

7 0

4 years ago

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Which graph represents this system? y = 1/2 x +3 y = 3/2x -1

kozerog [31]

Answer:

The attached picture is the requested graph

Step-by-step explanation:

The system

$y=\frac{3}{2}x-1\\ y= \frac{1}{2}x+3$

Has the following solution

x = 4 and y = 5 , which serves us to plot the desire graph, both function are lines and they intercept in (4,5)

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3 years ago

2/x-5=4x<br><br> What is the value of x

kati45 [8]

Answer:

$\large\boxed{x=\dfrac{5\pm3\sqrt3}{2}}$

Step-by-step explanation:

$Domain:\ x-5\neq0\to x\neq5\\\\\dfrac{2}{x-5}=4x\\\\\dfrac{2}{x-5}=\dfrac{4x}{1}\qquad\text{cross multiply}\\\\(4x)(x-5)=(2)(1)\qquad\text{use the distributive property}\\\\(4x)(x)+(4x)(-5)=2\\\\4x^2-20x=2\\\\2^2x^2-20x=2\\\\(2x)^2-2(2x)(5)=2\qquad\text{add}\ 5^2\ \text{to both sides}\\\\(2x)^2-2(2x)(5)+5^2=2+5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(2x-5)^2=2+25\\\\(2x-5)^2=27\to2x-5=\pm\sqrt{27}\qquad\text{add 5 to both sides}$

$2x=5\pm\sqrt{9\cdot3}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\2x=5\pm\sqrt9\cdot\sqrt3\\\\2x=5\pm3\sqrt3\qquad\text{divide both sides by 2}\\\\x=\dfrac{5\pm3\sqrt3}{2}$

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3 years ago

Factor completely x^2+6x-27?

Ivahew [28]

Answer:

(x+9)(x-3)

Step-by-step explanation:

Find the number that multiplies to make -27 and adds to make 6. In this case it is 9 and -3. Use these numbers to factorise.

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3 years ago

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