All categories

2 years ago

F(x) = 3 x² + 5 x - 7 and g(x) = x² + 8 x + 10

Mathematics

1 answer:

Korolek [52]2 years ago

8 0

$f(x) + g(x) \\ 3x {}^{2} + 5x - 7 + x {}^{2} + 8x + 10 \\ 4x {}^{2} + 13x + 3$

You might be interested in

Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate

dimaraw [331]

The equation of parabola becomes y = -2/25(x-3)^2 + 4.

According to the statement

we have given a graph and from this graph we have to find the equation of parabola in the general form.

So,

we know that the equation of parabola in general form is

y = a(x-h)^2 +k - (1)

From the graph we have:

a point on the graph is (x,y) = (-2,2)

the vertex of the graph is (h,k) = (3,4)

Now, substitute these values in the equation number (1)

Then

y = a(x-h)^2 +k

2 = a(-2-3)^2 +4

2 = a(-5)^2 +4

2 = a(25) +4

25a = -2

a = -2/25.

Now put a = -2/25 and (h,k) = (3,4) in the equation(1).

Then

the equation of parabola becomes y = -2/25(x-3)^2 + 4

So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.

Learn more about equation of parabola here brainly.com/question/4061870

#SPJ4

6 0

2 years ago

To compare two products such as colas, a random sample is selected to taste two types of colas (A and B). Each selected subject

Nadya [2.5K]

Answer: The sample size would be needed = 385

Step-by-step explanation:

Let p be the prior population proportion.

Margin of error = E

When not estimate of p is given , the formula to calculate the minimum sample size <em>n</em> = $0.25(\dfrac{z^*}{E})^2$ , where z* = critical value for given confidence interval.

Here z* for 95% confidence level is 1.96.

E=5%=0.05

Then $n=0.25(\dfrac{1.96}{0.05})^2\approx385$

Hence, the sample size would be needed = 385

8 0

2 years ago

What is the solution to this equation?<br>1-2x = 4(x + 3)

valina [46]

Answer:

x=-1.83

Step-by-step explanation:

1-2x=4(x+3)

1-2x=4x+12

-2x=4x+12-1

-2x=4x+11

-2x-4x=11

-6x=11

x=11÷-6

x=-1.83

4 0

2 years ago

Greg rented a truck for one day there was a base fee of $16.99 and there was additional charge of $.89 for each mile driven Greg

julia-pushkina [17]

Let m represent the number of mile Greg drove. His rental charge was
207.45 = 16.99 + 0.89m
Subtract 16.99 and divide by 0.89
190.46 = 0.89 m
214 = m

Greg drove the truck 214 miles.

7 0

3 years ago

-5 times what = 25....

Korolek [52]

-5 times -5= 25
because the negative times negative=positive

8 0

2 years ago

Read 2 more answers