Answer:
x=2, y=13
Step-by-step explanation:
In order to get this by addition which is the easiest way for this you want to take both equations
y=3x+7 and y=-4x+21 and move x to the other side of the equation so it is like 4x+y=21 and -3x+y=7 like that now you have to get rid of one of the exponents and the easiest one to get rid of is y so I'm going to multiply -3x+y=7 by negative 1 so it becomes 3x-y=-7 that way the equations value has not changed since I multiplied both sides and now when I add
4x+y=21 and 3x-y=-7 It'll look like
4x+y=21
3x-y=-7 add those It will get rid of the y
then get 7x=14 simplify to get x=2 then you can take -3x+y=7 plug in x and get
-3(2)+y=7 multiply into -6+y=7 then simplify you get y=13
Answer:
*read explanation for both questions*
Step-by-step explanation:
So the first one asks <em>”the first number in a pattern is 6, the pattern follows the rule ’</em><em>multiply by 4’ </em><em>“</em>
The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.
That’s the pattern fo the first one
The second one asks <em>“The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”</em>
<em />
When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.
Answer:
The test statistic is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The The level of significance is 
The sample size is n = 18
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
Generally the test statistics is mathematically represented as
substituting values
Answer:
b
Step-by-step explanation:
Answer:
x = (28 +- root -64) / (8)
Step-by-step explanation:
4x^2 -28x= -53 = 0
x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4
x = (28 +- root 784 - 848) / (8)
x = (28 +- root -64) / (8)
