MATHEMATICS MIDDLE SCHOOL

Dinesh thinks that the point (1,3) is on the line y = 4x - 2.State whether Dinesh is correct and give a reason to justify your answer.
pls help me thanks​

Answers

Answer 1
Answer:

To see if the point is on the line, plug in one of the point values to see if it equals out.

y = 4x - 2         I will plug in 1 for x to see if y does = 3

y = 4(1) - 2

y = 4 - 2

y = 2           so (1, 2)

Dinesh is not correct because the point on the line when x = 1 is (1, 2) not (1, 3)

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Somebody help me.......

if (ax+2)(bx+7) = 15xsquared + cx +14 for all values of x, and a+b =8, what are the two possible values for c?

Answers

The two possible values for c are 31 and 41

Step-by-step explanation:

Given Expression:

(a x+2)(b x+7)=15 x^(2)+c x+14

a + b = 8

To expand,

Multiply a x with (b x + 7) =  a b x^(2)+7 a x

Multiply 2 with (b x + 7) = 2 b x +14

Now, combining the above, we get

         a b x^(2)+7 a x+2 b x+14=15 x^(2)+c x+14

         a b x^(2)+x(7 a+2 b)+14=a b x^(2)

When comparing both sides, we get

a b = 15, 7 a + 2 b = c

          a=(15)/(b) \text { or } b=(a)/(15)

Now, substitute above value in a + b = 8. So,

         (15)/(b)+b=8

         15+b^(2)=8 b

        b^(2)-8 b+15=0

Factorising above, we get the equation as

       b^(2)-3 b-5 b+15=0

       (b - 3) (b - 5) = 0

b = 3 and 5

If b = 3, then

       a=(15)/(b)=(15)/(3)=5

If b = 5, then

       a=(15)/(5)=3

If a = 3, b = 5

c =7 a + 2 b = 7 (3) + 2 (5) = 21 + 10 = 31

If a = 5, b = 3

c =7 (5) +2 (3) = 35 + 6 = 41

Therefore, the values of ‘c’ are 31 and 41.

Factor the gcf -6x ^ 4 y ^ 5 -15 x ^ 3 y ^ 2 + 9x ^ 2 y ^ 3​

Answers

Answer:

-3x^2y^2(2x^2y^3 + 5x - 3y)

20 points answer if you know the answer!!!Beth measured the distance from home plate to the pitcher’s mound on a baseball field. She measured the distance to be 69 ft. The actual distance from home plate to the pitcher’s mound is 60.5 ft.



What is the percent error in Beth’s measurement? Round to the nearest tenth of a percent, if necessary.









A.

8.5%








B.

12.3%








C.

14%








D.

85%

Answers

I believe that answer a is the correct answer.
pretty sure its D. you need to divide 60.5 by 69 

Consider the system below. 4x-2y=-12 3x-y=-3 Solve the system by using a matrix equation. Show your work.

Answers

The matrix equation AX=B, where A and B are numerical matrices and X is unknown matrix has a solution X= A^(-1) B, where A^(-1) is inverse matrix of X.
1. We rewrite given system as matrix equation \left[\begin{array}{cc}4&-2\n3&-1\end{array}\right] X=\left[\begin{array}{c}- 12\n- 3\end{array}\right];
2. FindA^(-1) = \left[\begin{array}{cc}4&-2\n3&-1\end{array}\right] ^(-1)  by the rule A^(-1)= (1)/(det \ A) [ A_(ij) ] ^(T). So, det\ A=4×(-1)-3×(-2)=-4+6=2 and algebraic supplements are
A_(11) =-1 \n A_(12) =-3 \n A_(21)=2 \n A_(22) =4. Then A^(-1) = (1)/(2) \left[\begin{array}{cc}-1&-3\n2&4\end{array}\right] ^(T)= \left[\begin{array}{cc}- (1)/(2) &1\n- (3)/(2) &2\end{array}\right];
3. Calculate X= \left[\begin{array}{cc}- (1)/(2) &1\n- (3)/(2) &2\end{array}\right] \left[\begin{array}{c} -12\n-3\end{array}\right]=\left[\begin{array}{c}3\n12\end{array}\right];

4. We obtain X= \left[\begin{array}{c}3\n12\end{array}\right], from where x=3 and y=12.

~Please Help~Please first state the answer and say which one you are answering for.
Then show how you got to it.
-Thank you :)
***Only answer is you know for sure please!***

Answers

the first one is the bottom right multiply 7.50*h or the hours to find the cost
and the second one is bottom left you start at 0 and advance 0 the multiply or add 67*2=134 then 67*5=335 and then 67*9=603 so you have your numbers 0,134,335,603

you baked 42 chocolate cupcakes and 28 red velvet cupcakes.you package them in boxes that have the same ratio of chocolate to red velvet cupcakes as the total cupcakes. how many red velvet cupcakes are in a box thar has 24 chocolate cupcakes?

Answers

Red velvet : Chocolate Cupcakes
28:42 can be reduced to 2:3 as both share 14 as a factor.
x : 24
24/3 = 8
8 x 2 = 16
16 red velvets are in a box with 24 chocolate
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