Answer:
No.
Step-by-step explanation:
Well, is the points (1, -9) does satisfy the equation y = 3x - 6. Then, substituting the values of x, and, y, into the equation y = 3x - 6, we should get a true equation.
y = 3x - 6
-9 = 3 * 1 - 6
-9 = 3 - 6
-9 = -3.
So, the points (1, -9) does not satisfy the equation y = 3x - 6.
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Answer:
16) No
17) (c)
Step-by-step explanation:
For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.
16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.
A^-1 = [[-.2, .3][-.2, -.2]]
__
17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.
BA=C
c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37
This matches the third choice (C).
If you use a calculator to compute the full matrix product, it matches choice C in all details.
Once the cake is removed from the oven, it has been exposed to the room temperature of 70°F. After 10 minutes, the cake's temperature decreased to 200°F, which is 150°F cooler than it initially was (350°F). As for the what is asked, 90°F is 260°F cooler than its original temperature (350°F).
This problem can be expressed in a ratio:
10mins:150<span>°F = N:260</span><span>°F
where N is how long it will take for</span><span> cake to cool to 90°F
</span>150<span>°FxN=10x260
</span>150N=2600
N=2600/150
N=17.33
N<span>≈20 minutes
Thus, it takes approximately 20 minutes </span><span>for the cake to cool to 90°F</span>
Answer:
The largest area enclosed is A = xy = 6 feet 
6 feet = 36 
Step-by-step explanation:
i) The perimeter of the area is 2(x + y) =24 ∴ x + y = 12 ∴ y = 12 - x
ii) The area of rectangle enclosed A = xy ⇒ A = x ( 12 - x) = 12x - 
iii) differentiating both sides of the equation in ii) we get
⇒ x = 6 feet
iv) Differentiating both sides of equation in iii) we get 
= -2
Therefore the area enclosed is maximum as the double derivative is negative
v) therefore for largest area enclosed x = 6 feet and y = 12 - 6 = 6 feet
vi) therefore the largest area enclosed is
A = xy = 6 feet 6 feet = 36
By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.
We are required to find whether the company is right in saying that their bags contain 11 kg of food.
First we have to make hypothesis.
:μ≠11
:μ=11
We have to use t statistic because the sample size is less than 30.
t=(X-μ)/s/
We will use s/=0.6 because we have already given population standard deviation of weights.
t=(11-10.6)/0.6
=0.4/0.6
=0.667
Degree of freedom=n-1
=25-1
=24
T critical at 0.05 with degree of freedom 24=2.0639
T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.
Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.
Learn more about t test at brainly.com/question/6589776
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