All categories

1 year ago

Explain how a function graph can be used to help verify that a function is factored correctly

Mathematics

1 answer:

Sergeeva-Olga [200]1 year ago

8 0

By factorising a function, you can find the value of x-intercepts by substituting f(x)=0

By plotting a graph, you can check the values of x-intercepts

You might be interested in

What is 4/ 15 divided by 10/ 13

Alja [10]

Answer:

26/75

Step-by-step explanation:

4 / 15 / 10 / 13

= 4/15 * 13/10

= 52 / 150

= 26/75 answer

5 0

1 year ago

Read 2 more answers

Mario eats twice as many as Yolanda. If Yolanda eats 6 walnuts every day, how many walnuts does Mario eat in a week?

stepladder [879]

let

x-------> walnuts that Mario eats in a week

y-------> walnuts that Yolanda eats in a week

we know that

x=2y-------> equation 1

y=6*7-------> y=42 walnuts

substitute the value of y in equation 1

x=2*42-----> x=84 walnuts

therefore

the answer is

Mario eat in a week 84 walnuts

8 0

2 years ago

x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9

Nezavi [6.7K]

The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt(1/16)=1/sqrt(16)=1/4.
Check:
(x+1/4)^2=x^2+2*(1/4)x+(1/4)^2=x^2+x/2+1/16. ok

Answer: x= 1/4

5 0

1 year ago

Read 2 more answers

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st

EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = $\frac{609}{58} = 10.5$

Checking for ratios of the given options:

A. $\frac{483}{42} =11.5$

B. $\frac{378}{28} =13.5$

C. $\frac{504}{48} =10.5$

D. $\frac{560}{56} =10$

E. $\frac{315}{30} =10.5$

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0

1 year ago

Read 2 more answers

The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow

mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

$(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:

$y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5$

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0

2 years ago