Answer:
First answer at the top.
Step-by-step explanation:
Answer:
£21
Step-by-step explanation:
Cost of 18 drinks = £54
Cost of 1 drink
= Cost of 18 drinks/18
= £54/18
= £3
Cost of 7 drinks
= Cost of 1 drink × 7
= £3 × 7
= £21
Answer:
B. 5x^2 -4
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)
= x^2(4 +1) +(1 -5) . . . . . . . . collect terms
(f+g)(x) = 5x^2 -4
Answer:
69.20in
Step-by-step explanation:
Given data
diagonal of the TV d= 55in
Widht of the TV w= 42 in
Hight h= ???
Applying the Pythagoras theorem
d^2= w^2+ h^2
substitute
55^2= 42^2+ h^2
3025= 1764+ h^2
3025+1764= h^2
4789= h^2
h=√4789
h= 69.20
Hence the Heigth is 69.20in
We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.
We can generate equivalent fractions by multiplying both numerator and denominator by the same number.
So, we have
![-\dfrac{7}{9} = -\dfrac{7\cdot 10}{9\cdot 10} = -\dfrac{70}{90}](https://tex.z-dn.net/?f=-%5Cdfrac%7B7%7D%7B9%7D%20%3D%20-%5Cdfrac%7B7%5Ccdot%2010%7D%7B9%5Ccdot%2010%7D%20%3D%20-%5Cdfrac%7B70%7D%7B90%7D)
Similarly, we have
![-\dfrac{5}{10} = -\dfrac{5\cdot 9}{10\cdot 9} = -\dfrac{45}{90}](https://tex.z-dn.net/?f=-%5Cdfrac%7B5%7D%7B10%7D%20%3D%20-%5Cdfrac%7B5%5Ccdot%209%7D%7B10%5Ccdot%209%7D%20%3D%20-%5Cdfrac%7B45%7D%7B90%7D)
Now we can sum the fractions:
![-\dfrac{7}{9}-\dfrac{5}{10} = -\dfrac{70}{90}-\dfrac{45}{90} = \dfrac{-70-45}{90} = -\dfrac{115}{90} = -\dfrac{23}{18}](https://tex.z-dn.net/?f=-%5Cdfrac%7B7%7D%7B9%7D-%5Cdfrac%7B5%7D%7B10%7D%20%3D%20-%5Cdfrac%7B70%7D%7B90%7D-%5Cdfrac%7B45%7D%7B90%7D%20%3D%20%5Cdfrac%7B-70-45%7D%7B90%7D%20%3D%20-%5Cdfrac%7B115%7D%7B90%7D%20%3D%20-%5Cdfrac%7B23%7D%7B18%7D)