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nikdorinn [45]
2 years ago
12

Kaitlyn solved the equation for x using the following calculations. Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if

any, did she make?
Mathematics
1 answer:
omeli [17]2 years ago
3 0

Step-by-step explanation:

The equation that Kaitlyn solved is as follows :

-5.4+x=12.2

The steps to solve it as follows :

Step 1. Add 5.4 to both sides,

-5.4+x+5.4=12.2+5.4

Step 2. 5.4 will cancel out as both have opposite signs

x=17.6

But Kaitlyn solved it as :

5.4.x=6.8

She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.

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Point T is at (–3, 7). What are the coordinates of point T' after Ry-axis ∘ Rx-axis?
dimaraw [331]

Given:

The point is T(-3,7).

To find:

The image T' after R_{y-axis}\circ R_{x-axis}.

Solution:

R_{y-axis}\circ R_{x-axis}, it means reflection across x-axis is followed by reflection across y-axis.

If a point is reflected across the x-axis, then

(x,y)\to (x,-y)

T(-3,7)\to T_1(-3,-7)

Then point is reflected across the y-axis. So,

(x,y)\to (-x,y)

T_1(-3,-7)\to T'(3,-7)

Therefore, the coordinates of point T' are (3,-7).

6 0
2 years ago
Here are the dimensions of the oven tray Lucy bakes the cakes on. ←700mm→↑600mm↓.A cake tin is 25cm in diameter. How many cake t
GREYUIT [131]
700*600=420,000
420,000/10=42,000
Diameter = 25
so radius = 12.5
Pi*12.5^2=625/4Pi
42,000/625/4 Pi =86.56169741
=86.6
she can fit 86 tins
8 0
2 years ago
Read 2 more answers
Michael solved this inequality as shown: Step 1: -6(x + 3) + 10 < -2 Step 2: -6x − 18 + 10 < -2 Step 3: -6x − 8 < -2 St
Amiraneli [1.4K]

Answer:

<h2>D. addition property of inequality</h2>

Step-by-step explanation:

Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6

From step 3;

-6x − 8 < -2

Michael got the step 4 by adding 8 to both sides of the inequality as shown;

-6x − 8 + 8 < -2 + 8

-6x < 6 (Step 4)

Since Michael added 8 to both sides of the inequality, <em>the property that justifies the transition from step 3 to step 4 is the </em><u><em>addition property of inequality</em></u><em>. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.</em>

8 0
2 years ago
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the fun
aleksley [76]
Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval
a \leq x \leq b
is given by
\frac{f(b)-f(a)}{b-a}

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
0 \leq x \leq 1
is given by
\frac{f(1)-f(0)}{1-0} = \frac{2-1}{1} =1

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
0 \leq x \leq 1
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\frac{g(1)-g(0)}{1-0} = \frac{1-0}{1} =1

Therefore, the exponential grows at the same rate as the quadratic in the interval <span>0 \leq x \leq 1.</span>
3 0
2 years ago
Read 2 more answers
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs. This situati
stira [4]

Answer:

(3,6)

Step-by-step explanation:

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This situation can be represented with a linear equation written in slope-intercept form,  as

y=2x

where 'x' represents the number of minutes and,

y represents the number of paragraphs.  

Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as

y=2x

Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive

Out of the points given as follows:

(3,6) (2,3) (-3,6) or (-2,6) ,

we can remove last two since they have negative x which is impossible.

Consider  (3,6) (2,3)

Out of these only I point  (3,6) satisfies  y=2x and second point   (2,3) does not satisfy

y=2x

Hence answer is (3,6)






8 0
2 years ago
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