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3 years ago

Help is it A or B? pls help

Mathematics

1 answer:

Damm [24]3 years ago

5 0

Answer:

$f(x)=-(x+8)(x-2)$

Step-by-step explanation:

Start by factoring out a -1...

$f(x)=-(x^2+6x-16)$

Now, we have to find two integers that multiply to get -16 and have a sum of 6:

(-2)*8=-16

-2+8=8-2=6

Using this, we can split 6x into -2x and 8x...

$f(x)=-(x^2-2x+8x+16)$

Factor the first and second half separately...

$f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\$

Since both x and 8 are being multiplied by x-2, we can combine them to get...

$f(x)=-(x+8)(x-2)$

You might be interested in

The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form

jonny [76]

Answer:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

Step-by-step explanation:

Vertex form of a parabola is given as:

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

Where ( $h,k$ ) is the vertex and $(x,y)$ are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

$h = 3,k = -2$

First of all, putting the vertex in the vertex equation as given above:

$y = a ( x - 3 ) ^2 + (-2)$

Now, putting the values of $x, y$ as 2, 3 and let us find the unknown variable $a$ :

$3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5$

Therefore, the equation in vertex form can be written as:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

4 0

3 years ago

Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile

ANTONII [103]

Answer:

257.5 mph

332.5 mph

Step-by-step explanation:

The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is

$d=960-75=885$ miles

Calling v1 and v2 the velocities of the two planes, we have the following equations:

(1) $v_1 = v_2 + 75$ --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph

(2) $v_1 t+ v_2 t=885$ --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)

Substituting t=1.5 h, the second equation becomes:

$1.5 v_1+1.5 v_2=885\\v_1 + v_2 = 590$

By substituting (1) into this last equation, we find:

$(v_2+75)+v_2 = 590\\2v_2 + 75 = 590\\2v_2 = 515\\v_2=257.5$

And substituting this back into eq.(1), we find

$v_1 = 257.5 + 75=332.5$

So, the speeds of the two planes are

257.5 mph

332.5 mph

3 0

3 years ago

PLS HELP I need to know is this right?

nasty-shy [4]

Answer:

me and my teacher say yes

8 0

3 years ago

Read 2 more answers

It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su

cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

1. the students intelligent quotient

gpa has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. ability to remember

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

3. study time

gpa and practice have a positive relationship. the more a student studies, the more likelihood exists of having a better gpa. the slope would be upward bound.

4. gym practice

gpa and gym practice are not related so the slope would be in a downward direction.

when interpreting the direction of relationship after carrying out such an analysis, it is useful to watch out for the accompanying signs of the variables. if the sign of the beta coefficient is positive then a positive relationship with the dependent variable exists.

6 0

4 years ago

Need help with this question no links please

RUDIKE [14]

Answer:

area of arrow=610cm²

Step-by-step

First find the area of the square then the are of the triangle then add together to get the area of the arrow.

Area=length x width

=20cm x 15cm

=300cm²

Area= 1/2 base x height

=1/2 x 20 x 31

=1 x 10 x 31

=310cm²

(NOTE: TO FIND THE BASE YOU ADD THE 15CM FROM THE SQUARE AND THE 2 EIGHT'S FROM THE BOTTOM OF THE TRIANGLE)

Total area or area of arrow

=300cm²+310cm²

=610cm²

6 0

3 years ago