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2 years ago

Directions: Match the product and quotients estimates below with the correct expression on the left

Mathematics

1 answer:

prohojiy [21]2 years ago

8 0

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

1) 35 $\times$ 23

2) 132 $\div$ 168

3) 17.3 $\times$ 18.4

4) 999 $\div$ 208

5) 998 $\times$ 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 $\times$ 23 is 40 $\times$ 20

132 can be rounded to 130 and 168 to 170.

Therefore, equivalent to 132 $\div$ 168 is 130 $\div$ 170.

17.3 can be rounded to 17.0 and 18.4 to 18.0.

Therefore, equivalent to 17.3 $\times$ 18.4 is 17.0 $\times$ 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 $\div$ 208 is 1000 $\div$ 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 $\times$ 211 is 1000 $\times$ 210.

The solution can be found in the attached image as well.

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Type the correct answer in each box. Use numerals instead of words.

Natali5045456 [20]

Given:

Consider the given function is $f(x)=-(x+1)(x-3)(x+2)$ .

To find:

The remaining zero and y-coordinate of y-intercept.

Solution:

We have,

$f(x)=-(x+1)(x-3)(x+2)$

For zeros, $f(x)=0$ .

$-(x+1)(x-3)(x+2)=0$

$(x+1)(x-3)(x+2)=0$

$(x+1)=0,(x-3)=0,(x+2)=0$

$x=-1,x=3,x=-2$

So, three zeros of given function are -1, 3 and -2.

Putting x=0 in the given function, we get

$f(0)=-(0+1)(0-3)(0+2)$

$f(0)=-(1)(-3)(2)$

$f(0)=-(-6)$

$f(0)=6$

So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).

Therefore, the zeros of the function $f(x)=-(x+1)(x-3)(x+2)$ are –1, 3, and -2 and the y-intercept of the function is located at (0,6).

7 0

2 years ago

6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>

agasfer [191]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root. Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0 as x² - 10x + 12 = 0.

a) Identify the coefficient of the x term. It is -10.

b) take half of this result: -5

c) square this last result: (-5)² = 25.

d) Add this 25 to both sides of x² - 10x + 12 = 0:

x² - 10x + 25 + 12 = 0 + 25

e) rewrite x² - 10x + 25 as the square of a binomial:

(x - 5)² = 13

f) taking the sqrt of both sides: x - 5 = ±√13

g) write out the zeros: x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

8 0

3 years ago

By what number should we multiply -3÷4so that the product will be -7÷8⛄

Makovka662 [10]

Let the number be x.

-(3/4)*x = -(7/8)

x = -(7/8)/-(3/4)

x = 7/8 * 4/3

x = 7/6

The number = 7/6

4 0

3 years ago

How do I find the perimeter of these regular polygons when only given the area. PS only allowed to use a=1/2bh formula, no other

timama [110]

Answer:

7. 25 and 8. 18. I think it is. I hoped that is was right.

Step-by-step explanation:

150/6=25. 90/5=18.

7 0

3 years ago

Use any method to estimate how much Joan earns in all working 6.75 hours for 2 days earning $15.70 per hour.show your work

alexdok [17]

Answer:

$ 211.95

Step-by-step explanation:

soooo your supposed to multiply 6.75hr and 15.70

and get 105.975

the multiply that by 2

answer: $211.95

8 0

3 years ago