Answer:
5+√97/4
Also 5-√97/4
Step-by-step explanation:
The Quadratic formula is x=-b+-√b^2-4ac/2a
This means that we should plug the values for A B AND C into the formula
We can work out that
<u><em>A = 2</em></u>
<u><em>B=-5</em></u>
<u><em>C=-9</em></u>
Once we have put these into the formula we get
5+√97/4 (all over 4) aka 3.71
Also 5-√97/4 (all over 4) aka -1.21
Y = - 4x^2 - 3x + 3 This thing is complex with fractions. I have to work it out.
y = -4(x^2 + 3/4 x) + 3
y = -4(x^2 + 3/4 x + (3/8)^2 ) + 3
y = -4(x + 3/8)^2 +3 + 4*(9/64)
y = -4(x + 3/8)^2 + 3 + 9/16
y = -4(x + 3/8)^2 + 3 9/16 Equation in Vertex form. <<<<< answer
y = -4(x + 0.385) + 3.5625 Equation in Vertex form. <<<< answer
One is in decimal form. One in fraction form.
the vertex (-3/8, 3 9/16) or alternately
the vertex (-0.375,3.5625)
You might want the graph to confirm my answer.
Answer:
The parts are 27 cm and 64 cm long.
Step-by-step explanation:
Let the shorter part be x.
"The longer part is 10 cm more than twice as long as the shorter part."
shorter part: x
longer part: 2x + 10
total length: x + 2x + 10
total length: 91
x + 2x + 10 = 91
3x + 10 = 91
3x = 81
x = 27
2x + 10 = 2(27) + 10 = 54 + 10 = 64
Answer: The parts are 27 cm and 64 cm long.
Answer:
The answer is E
Step-by-step explanation:
We first are going to look at our first term on the table(the number that comes up first) which is $75.
Then we have to find the common factor. So, you divide the second number by the first number( 88.50 divided by 75 which gets us 1.18).
<em>Now, since we found the first term and the common factor, we are going to have to find the exponent for our f(x) equation. </em>
<em>We know that she bought the painting in 2009! Now the problem is asking how much the painting will cost in 2030. So, you will subtract 2030-2009 which gets you 21! So 21 is your exponent!</em>
<em>Equation: </em><em> F(x)= 75(1.18) ^21 </em>
<em>The answer that you get is: $2424.28</em>
<em />
<u>Let me know if you have any questions! </u>
:)
Answer: 1 11/15
Step-by-step explanation:
9/10 + 5/6
=
9 × 3
+--------
10 × 3
5 × 5
-------
6 × 5
=
27/30 + 25/30
=
27 + 25
-----------
30
=
52/30
=
52 ÷ 2
----------
30 ÷ 2
=
26/15
=
1 11/15
