All categories

2 years ago

What error did Amy make in writing the equation in slope-intercept form for the line shown in the graph?

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Jfkfnfb ta info gc sis NBC t Ubuntu’s BBC e Co la Si Jan Sb Cobb add hsjdxulkt

You might be interested in

Describe using words in a sentence the transformations that must be applied to the graph of f to obtain thegraph of g(x) = -2 f(

grin007 [14]

we have

f(x)

and

g(x)=-2f(x)+5

step 1

First transformation

Reflection about the x-axis

f(x) -----> -f(x)

step 2

Second transformation

A vertical dilation with a scale factor of 2

-f(x) ------> -2f(x)

step 3

Third transformation

A translation of 5 units up

-2f(x) -------> -2f(x)+5

5 0

6 months ago

Ivan and Tanya share £150 in the ratio 4: 1 Work out how much more Ivan gets compared to Tanya.

Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = $150\times \frac{4}{(4+1)}$

= $150\times \frac{4}{5}$

= £120

Similarly, amount received by Tanya = $150\times \frac{1}{(4+1)}$

= £30

Difference in their amounts = 120 - 30

= £90

Therefore, Ivan got £90 more than Tanya.

7 0

2 years ago

Solve the equations by factoring: x^2−3x−40=0 4x^2−81=0

Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

x² - 3x - 40 = 0

Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)

The factors are - 8 and + 5, since

- 8 × 5 = - 40 and - 8 + 5 = - 3, thus

(x - 8)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x + 5 = 0 ⇒ x = 5

------------------------------------------------------

Given

4x² - 81 = 0 ← this is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

4x² - 81

=(2x)² - 9²

= (2x + 9)(2x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - $\frac{9}{2}$

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = $\frac{9}{2}$

8 0

2 years ago

Read 2 more answers

The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

KatRina [158]

Answer:

The other rational number is $\dfrac{14}{27}$ .

Step-by-step explanation:

First rational number is $\dfrac{-2}{3}$

Let other rational number is $\dfrac{x}{y}$

The product of two rational numbers is $\dfrac{-28}{81}$

According to question,

$\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}$

Multiplying both sides by (-3/2) such that,

$\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}$

So, the other rational number is $\dfrac{14}{27}$ .

6 0

2 years ago

Read 2 more answers

If a basketball player consistently shoots 80% from the free throw line and she takes 25 free throw shots throughout the course

faltersainse [42]

The formula for percentage is:

is/of = %/100

In the given problem,
is = ?
of = 25
% = 80

We get,

?/25 = 80/100

"is" is unknown so let "is" be "x"

x/25 = 80/100

We have to cross multiply. Meaning, we will multiply the numerator of one fraction by the denominator of the other fraction. Therefore,

100x = (80)(25)
100x = 2000
x = 20

The answer is 20. The basketball player is expected to make 20 free throw shots out of 25 in the entire game.

6 0

3 years ago