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soldier1979 [14.2K]
3 years ago
15

Please help me with explainsion​

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

= 1.8

Step-by-step explanation:

3.2 + x = 5

5-3.2 = 1.8

x=1.8

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If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
Eddi Din [679]

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

7 0
3 years ago
Somebody help me out plz-
sleet_krkn [62]

Answer:

Vertex: (2,-2)

Axis of symmetry: x=2

Step-by-step explanation:

The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).

The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.

3 0
3 years ago
Read 2 more answers
Solve x^2 – 2x – 15 = 0 using the zero product property.
lawyer [7]
You could just factor out the Trinomial and find the zeros of the equation,

x^2 - 2x -15 = (x - 5)(x + 3) = 0,

x - 5 = 0 and x + 3 = 0, so x = 5,-3 AKA answer choice C
8 0
3 years ago
the world's fastest insect is the dragonfly, which can fly up to 36 miles per hour. Atthis rate, how long would it take a dragon
Burka [1]

                     (54 miles) x (1 hour / 36 miles)

                 =  (  54 x 1 / 36 )  hours

                 =            1.5 hours

                 =      1 hour  30 minutes

6 0
3 years ago
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