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Ilya [14]
3 years ago
5

Tariq wants to make some purple paint.

Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

18 liters

Step-by-step explanation:

Blue : red : White = 5 : 3 : 2

Quantity of Blue paint = 5x

Quantity of Red paint = 3x

Quantity of White paint = 2x

Total paint = 5x + 3x + 2x = 10x

10x = 60 liters

x = 60/10

x = 6

Quantity of red paint = 3x = 3*6 = 18

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What would be the maximum value for f(x) = −5x2 + 9
Maru [420]
Well, looking at the expression, it has a -5 on the leading term, that means is not just a quadratic, but is a parabolic graph and because the coefficient of the leading term is negative, is upside-down, or opening downwards.

because it opens downwards, it looks like an arc, comes from the bottom up up up gets to a "maximum" or U-turn (vertex), then goes back down down down.  So, where's the vertex anyway?

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
f(x) = &{{ -5}}x^2&{{ +0}}x&{{ +9}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\left( -\cfrac{0}{2(-5)}~~,~~9-\cfrac{0}{4(-5)} \right)\implies (0~~,~~9)

so, that's where the vertex is, and the maximum value for f(x), is the y-coordinate of course, or 9.
3 0
3 years ago
I really need the student exploration: slope intercept form of a line gizmo answer key . HELPPPP have to finish today
borishaifa [10]
Slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept
8 0
3 years ago
5% of 120 is 6. True or False?
Gnesinka [82]

Answer:

True

Step-by-step explanation:

5\% \times 120 \\  =  \frac{5}{100}  \times 120 \\  =  \frac{1}{20}  \times 120 \\  =  \frac{120}{20}  \\  = 6

So, 5% of 120 is 6. Its True

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

4 0
3 years ago
Which one is a prime number?,11,21,51,
Lana71 [14]

11 is only divisible by 1 and 11, it is a prime number. 21 is visible by 1, 3, 7, and 21; not a prime number. 51 is divisble by 1, 3, 7, 17, and 51; not a prime number. 11 is the only prime number .

5 0
4 years ago
Read 2 more answers
The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
Ann [662]

If x=0, then y=a\cdot0^2+b\cdot0+c=5, so c=5.

If x=1, then y=a\cdot1^2+b\cdot1+c=2, so a+b+5=2 or a+b=-3.

If x=2, then y=a\cdot2^2+b\cdot2+c=1, so 4a+2b+5=1 or 2a+b=-2.

We have

a+b=-3\implies -a-b=3

(2a+b)+(-a-b)=-2+3

\implies a=1\implies b=-4

So we end up with

a+b+c=1+(-4)+5=\boxed{2}

7 0
3 years ago
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