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cupoosta [38]
3 years ago
8

Which is the missing term? (10x - 4x^2)-(7x+ ? ) = 3x-6x^2

Mathematics
2 answers:
leonid [27]3 years ago
6 0

2x^2 because you do (-4x^2)-x=(-6x^2) and solve for x to get 2x^2.

marysya [2.9K]3 years ago
3 0

Answer:

The missing term is   -2x²

Step-by-step explanation:

It is given that,

(10x - 4x² ) - (7x + ?) = 3x - 6x²

<u>To find the missing term</u>

Let 'M' be the missing term we can write the above equation,

(10x - 4x² ) - (7x + M) = 3x - 6x²

⇒ 10x - 4x²  - 7x + M = 3x - 6x²

⇒ 10x - 7x - 4x² + M = 3x - 6x²

⇒ 3x - 4x² + M = 3x - 6x²

 M = -6x² + 4x²

 M = -2x²

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grigory [225]

9514 1404 393

Answer:

  140°

Step-by-step explanation:

Angles 1 and 3 are "corresponding" angles, so are congruent.

  ∠1 = ∠3

  20x +60 = 30x +20

  40 = 10x . . . . . . . . . . . . subtract 20x+20

  4 = x . . . . . . . . . . . . . . divide by 10

  ∠1 = 20x +60 = 20(4) +60 = 80 +60

  ∠1 = 140°

3 0
3 years ago
Read 2 more answers
There are 7/8 kilograms of salt in the kitchen. Mrs. Jackson used 2/15 of salt when preparing dinner . How much salt did she use
neonofarm [45]

so since Mrs Jackson used 2/15 of 7/8, the amount she used is simply their product.


\bf \stackrel{\textit{how much is }\frac{2}{15}\textit{ of }\frac{7}{8}?}{\cfrac{7}{8}\cdot \cfrac{2}{15}}\implies \cfrac{7}{15}\cdot \cfrac{2}{8}\implies \cfrac{7}{15}\cdot \cfrac{1}{4}\implies \cfrac{7}{60}

8 0
3 years ago
Finn is allowed to watch TV for 30 minutes every day. Sloane is allowed to watch 4 times as much TV a day. How much TV can Sloan
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Tickets at a play cost $10 or $14. If 800 tickets were sold and $9,040 was collected by the box office, how many $14 tickets wer
pav-90 [236]
STEP 1:
determine equations needed

x= # of $10 tickets
y= # of $14 tickets

QUANTITY EQUATION
x + y= 800

COST EQUATION
$10x + $14y= $9,040


STEP 2:
multiply quantity equation by -14

-14(x + y)= -14(800)
-14x - 14y= -11,200


STEP 3:
add new quantity equation in step 2 to cost equation of step 1 to solve for x using elimination

-14x - 14y= -11,200
10x + 14y= 9040
y term cancels out

-4x= -2160
divide both sides by -4

x= 540 ten dollar tickets


STEP 4:
substitute x value in step 3 into either original equation

x + y= 800
540 + y= 800
subtract 540 from both sides

y= 260 fourteen dollar tickets


ANSWER: There were 540 $10 tickets and 260 $14 tickets sold.

Hope this helps! :)
5 0
3 years ago
A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak
IgorC [24]

Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

T = Ce^{kt} + T_a

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

T(0) = Ce^{0} + T_a

10 = C + 100

C = -90

now,

12 = -90e^k + 100

e^k = \dfrac{88}{90}

k = ln{\dfrac{88}{90}}

at time equal to t

T(t) = 70

T(t) = -90 (\dfrac{88}{90})^t + 100

70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

T(t) = -90 (\dfrac{88}{90})^t + 100

98 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{45}

t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0
3 years ago
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