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Bingel [31]
4 years ago
13

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the

graph, then it must be the same function.
On a coordinate plane, a line goes through points (0, negative 1) and (2, 0).

Which equation is a counterexample to Jeremy’s argument?

y = negative one-half x minus 1
y = negative one-half x + 1
y = one-half x minus 1
y = one-half x + 1
Mathematics
2 answers:
Romashka [77]4 years ago
8 0

Answer:

y= 1/2x -1

Step-by-step explanation:

(0, -1), (2, 0)

y= mx + b

m= 1/2 (0.5)

b = -1

Marat540 [252]4 years ago
5 0
The answer is Ym=1/2
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Evaluate this exponential expression.
Levart [38]

Answer:

(-27)^\dfrac{2}{3} = 9

Step-by-step explanation:

Given that,

Asn expression : (-27)^\dfrac{2}{3}

We need to evaluate the above expression.

We know that, (-3)^3=-27

So,

(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}

or

=(-3)^2\\\\=-3\times -3\\\\=9

So, the value of (-27)^\dfrac{2}{3} is 9. Hence, the correct option is (b).

8 0
3 years ago
The table below shows the price in dollars for the number of roses indicated is the price proportional to the number of roses ex
makvit [3.9K]

Answer:

Price of roses is proportional to the number of roses.

Step-by-step explanation:

Let the price of roses are proportional to the number of roses.

Equation representing this phenomenon will be,

P = k(R) ⇒ k = \frac{P}{R}

where 'P' = price of the roses

R = Number of roses

k = Proportionality constant

If we substitute the values of P and R and we get the same value of constant 'k', then the equation will be true.

For R = 3 and P = $9  

k = \frac{9}{3}

k = 3

For R = 6 and R = 18

k = \frac{18}{6}

k = 3

K is same in both the conditions, therefore, Price of roses are proportional to the number of roses.

6 0
3 years ago
Explain how you know which coins could be used to show 0.77 of a dollar
Illusion [34]

you can use 3 quarters and 2 pennies
8 0
3 years ago
A “stick” object of height 10 cm is standing in front of a point X–ray source at a distance of 50 cm from the source. The detect
blagie [28]

Answer:

40 cm.

Step-by-step explanation:

Given,

height of the object = 10 cm

Distance of the object from the X-ray= 50 cm

Distance of detector from the source = 2 m = 200 cm

Height of the image, h = ?

Now,

\tan \theta = \frac{P}{B}

\tan \theta = \frac{10}{50}

\tan \theta = \frac{1}{5}

Again applying

\tan \theta = \frac{P}{B}

\frac{1}{5} = \frac{h}{200}

h = 40 cm

Hence, height of the image is equal to 40 cm.

6 0
3 years ago
(02.09) Given a triangle with vertices at points (4, 4), (4, 1), and (2, 1), which set of ordered pairs represents the new verti
wel
Hello!

This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.

(x,y)⇒(-y,x)

We will do this to each point and get our final points.

(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)

Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).

I hope this helps!


4 0
3 years ago
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