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1 year ago

Add: (-5u5 + 5) + 7u5

Mathematics

1 answer:

balu736 [363]1 year ago

7 0

Answer:

2u^5+5

Step-by-step explanation:

Drop parenthesis and add like terms.

$7u^{5}-5u^{5}+5=2u^{5}+5$

Hope this helps!

If not, I am sorry.

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earnstyle [38]

The answer is: f(x) = 3x

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3 years ago

Read 2 more answers

Write an inequality for the shaded region shown in the figure.

Snezhnost [94]

Answer:

y ≥ x^2 - 1

Step-by-step explanation:

First, we can see that the shaded region is above what seems to be a parabola, and we also can see that the lines of the parabola are solid lines (which means that the points on the curve itself are solutions, so the symbol ≥ is used)

Then:

y ≥ a*x^2 + b*x + c

where a*x^2 + b*x + c is the general quadratic equation.

Now let's find the equation for the parabola:

f(x) = a*x^2 + b*x + c

We also can see that the vertex of the parabola is at the point (0, -1)

This means that:

f(0) = -1 = a*0^2 + b*0 + c

= -1 = c

then we have that c = -1

Then:

f(x) = a*x^2 + b*x - 1

Now we can look at the graph again, to see that the zeros of the parabola are at +1 and -1

Which means that:

f(1) = 0 = a*1^2 + b*1 - 1 = a + b - 1

f(-1) = 0 = a*(-1)^2 + b*(-1) - 1 = a - b - 1

Then we got two equations:

a + b - 1 = 0

a - b - 1 = 0

from this we can conclude that b must be zero.

Then:

b = 0

and these equations become:

a - 1 = 0

solving for a, we get:

a = 1

Then the quadratic equation is:

f(x) = 1*x^2 + 0*x - 1

f(x) = x^2 - 1

And the inequality is:

y ≥ x^2 - 1

8 0

3 years ago

tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, trianglr, cricle" repeating pattern. if bot

RoseWind [281]

Both tanji & kenji have same number of circles i.e. 50 .

Step-by-step explanation:

Here we have , tanji creates a "square, circle" repeating pattern. Kenji creates a "Square, circle, triangle, circle" repeating pattern. if both tanji and kenji have 100 shapes in their patterns, . We need to find that which pattern contains more circles .Let's find out :

tanji creates a "square, circle"

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 1 every time out of 2 shapes :

Total number of times circle = $\frac{100}{2}(1)$

Total number of times circle = $50$

Kenji creates a "Square, circle, triangle, circle"

it's given that tanji has 100 shapes and he is repeating this pattern . In this pattern circle comes 2 every time out of 4 shapes :

Total number of times circle = $\frac{100}{4}(2)$

Total number of times circle = $50$

Both tanji & kenji have same number of circles i.e. 50 .

3 0

3 years ago

How to do this ? Don’t understand it

riadik2000 [5.3K]

X=y+3
-5x-4y=30
-------------------
Substitute y + 3 for x in -5x-4y=30
-5(y+3)-4y=30
-9y-15=30
----------------------------
Add 15 to each side
-9y-15+15=30+15
-9y = 45
-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-5+3
x = -2
----------------------
(-2,-5) is your answer

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3 years ago

Billy fills a crate with equal-sized cubes. The volume of each cube is exactly 1 cubic foot. He can fit 7 cubes across the lengt

gayaneshka [121]

Answer:

Step-by-step explanation:

your right on 105 cubic feet

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3 years ago