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TEA [102]
2 years ago
15

Can someone help me out and show work please

Mathematics
1 answer:
Sedbober [7]2 years ago
7 0
<h3>Function.</h3>

The function is assigning to <u>each element</u> of one set exactly <u>one element</u> from the other set.

First table represent a function.

Second table not represent a function (for -1 are four different numbers).

Third table represent a function.

Fourth table not represent a function (for -6 are two differen numbers 5 and 9)

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a plane flies with 54% of its seats empty. if 81 seats are empty what is the total number of seats on the plane
ivanzaharov [21]
Answer=150 seats were on the plane total

  54      81
____=____
 100      x

cross multiply

54x=8100
x=150 seats
6 0
3 years ago
Read 2 more answers
∠x and ∠ y are supplementary angles. ∠y measures 57°.What is the measure of ∠x?
Len [333]

supplementary angles add to equal 180. so x + 57 = 180. solve for x and you get 123.

8 0
3 years ago
Please help me find the answer asap!!
Licemer1 [7]
ST^2=23*7=161
ST=\sqrt{161}
6 0
3 years ago
For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of seven types of​ automobile, the linear correl
ololo11 [35]

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the <em>weights</em><em>​</em> and <em>highway fuel consumption amounts</em> of seven types of automobile.

P-value states <em>the significance</em> of this relationship. If the p-value is lower than a <em>significance level</em> (for example 0.05) then the relation is said to be significant.

5 0
3 years ago
(b). Solve for x and verify the result: 5x + 3 = 4/3 (1+x)​
Kazeer [188]
<h2><u>Solution :</u></h2>

{\dashrightarrow\sf{5x + 3 =  \dfrac{4}{3} \bigg(1 + x \bigg)}}

{\dashrightarrow\sf{3 \bigg(5x + 3 \bigg)=  4\bigg(1 + x \bigg)}}

{\dashrightarrow\sf{\bigg(5x \times 3 + 3 \times 3 \bigg)=  \bigg(1 \times 4 + x \times 4 \bigg)}}

{\dashrightarrow\sf{\bigg(15x +  9 \bigg)=  \bigg(4 +  4x\bigg)}}

{\dashrightarrow\sf{15x  - 4x =4 - 9 }}

{\dashrightarrow\sf{11x =4 - 9 }}

{\dashrightarrow\sf{11x = - 5 }}

{\dashrightarrow\sf{x =  -  \dfrac{5}{11}}}

\bigstar{\underline{\boxed{\sf{\red{x =  -  \dfrac{5}{11}}}}}}

<u>∴ The value of x is -5/11.</u>

\begin{gathered}\end{gathered}

<h3><u>Verification :</u></h3>

{\dashrightarrow\sf{5x + 3 =  \dfrac{4}{3} \bigg(1 + x \bigg)}}

{\dashrightarrow\sf{ \bigg(\left\{5 \times  - \dfrac{5}{11}  \right\} + 3 \bigg)=  \dfrac{4}{3} \bigg(1 +  \left\{ - \dfrac{5}{10}\right\}\bigg)}}

{\dashrightarrow\sf{ \bigg(\left\{- \dfrac{25}{11}  \right\} + 3 \bigg)=  \dfrac{4}{3} \bigg(1 +  \left\{ - \dfrac{5}{11}\right\}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{ - (  25 )+ (3 \times 11)}{11}  \bigg)=  \dfrac{4}{3} \bigg( \dfrac{(1 \times 11) - (5 \times 1)}{11}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{ - 25+ 33}{11}  \bigg)=  \dfrac{4}{3} \bigg( \dfrac{11 - 5}{11}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=  \dfrac{4}{3} \bigg( \dfrac{6}{11}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=   \bigg(\dfrac{4}{3} \times  \dfrac{6}{11}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=   \bigg(\dfrac{4 \times 6}{3 \times 11}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=   \bigg(\dfrac{24}{33}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=   \bigg(\cancel{\dfrac{24}{33}}\bigg)}}

{\dashrightarrow\sf{ \bigg( \dfrac{8}{11}  \bigg)=   \bigg({\dfrac{8}{11}}\bigg)}}

\bigstar{\underline{\boxed{\sf{\red{LHS = RHS}}}}}

<u>∴ Hence Verified !</u>

6 0
3 years ago
Read 2 more answers
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