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Flauer [41]
3 years ago
15

Which value satisfies the inequality 3x+10-2x<-4x+45

Mathematics
1 answer:
anygoal [31]3 years ago
6 0

First to answer

Answer:

x<7

Step By Step Answering:

Step 1: Simplify both sides of the inequality.

x+10<−4x+45

Step 2: Add 4x to both sides.

x+10+4x<−4x+45+4x

5x+10<45

Step 3: Subtract 10 from both sides.

5x+10−10<45−10

5x<35

Step 4: Divide both sides by 5.

5x/5<35/5

x<7

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yKpoI14uk [10]

because 1/2 is equal to 50%


0.5≠50

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3 years ago
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Be specific and try!
Darya [45]
I just used PEMDAS. It was easy.

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7 0
4 years ago
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Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
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Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
The factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot:
arsen [322]

Answer:

The factors of x^2+3x-4 are (x-1)(x+4) ....

Step-by-step explanation:

We have to find the factors of x^2+3x-4

As we know that this is a quadratic equation.

So we have to find the roots first.

The roots are -1 and 4.

Now completing the quadratic formula using the roots we have :

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Make a pair of first two terms and last two terms:

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Now take out the common from each pair:

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(x-1)(x+4)

Thus the factors of x^2+3x-4 are (x-1)(x+4) ....

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3 years ago
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