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Effectus [21]
3 years ago
11

Which expression that is equivalent to −4(x− 1)+2

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

To find an equivalent expression to −4(x − 1) + 2 we can use the distributive property.

For Example, A(B + C) = AB + AC

= -4(x - 1) + 2

= (-4 * x) + (-4 * -1) + 2

= -4x + 4 + 2

= -4x + 6

Best of Luck!

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Can someone help me with this question please!!!!!
faltersainse [42]
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

6 0
2 years ago
Mr. Santon bought 2.6 yards of fabric for $8.94 about how much was the cost per yard
Zanzabum
Since this question is asking for the unit rate of the cost per yard of fabric, think of this as a ratio and proportions question where 2.6:8.94 = 1:x (represents the cost per yard).
To solve, cross multiply to get 2.6x=8.94
Then, solve for x and you get about $3.44 per yard
5 0
3 years ago
Use the partial product stratagy to solve 429×35?
Korolek [52]
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3 years ago
What is the value of X
ASHA 777 [7]
The answer is 21, 21 is the value of x
6 0
3 years ago
The graph of the continuous function g, the derivative of the function f, is shown above. The function g is piecewise linear for
4vir4ik [10]
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f_{0


For f to be continuous, we need the limit as x\to1^- to match f(1)=3. This means we must have


\displaystyle\lim_{x\to1}x^2+C=1+C=3\implies C=2


Now, over x, we have g(x)=-3, so f_{x, which means f(-5)=17.


b) Integrating over [1, 3] is easy; it's just the area of a 2x2 square. So,


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c) f is increasing when f'=g>0, and concave upward when f''=g'>0, i.e. when g is also increasing.

We have g>0 over the intervals 0 and x>4. We can additionally see that g'>0 only on 0 and x>4.


d) Inflection points occur when f''=g'=0, and at such a point, to either side the sign of the second derivative f''=g' changes. We see this happening at x=4, for which g'=0, and to the left of x=4 we have g decreasing, then increasing along the other side.


We also have g'=0 along the interval -1, but even if we were to allow an entire interval as a "site of inflection", we can see that g'>0 to either side, so concavity would not change.
5 0
3 years ago
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