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ElenaW [278]
3 years ago
5

What are the factors of the expression below? -x+2x+35

Mathematics
2 answers:
Serhud [2]3 years ago
6 0

The answer is A

Good luck

gulaghasi [49]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Given

- x² + 2x + 35 ← factor out - 1 from each term

= - 1 (x² - 2x - 35)

To factor the quadratic inside the parenthesis

Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)

The factors are - 7 and + 5

since - 7 × + 5 = - 35 and - 7 + 5 = - 2, hence

x² - 2x - 35 = (x + 5)(x - 7)

- x² + 2x + 35 = - 1 (x + 5)(x - 7) → A

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What is the y-intercept of y<br> = 3 - 4z?
Neporo4naja [7]

Answer:

pretty sure its 3

Step-by-step explanation:

just fix it: y = -4z+3

3 0
2 years ago
A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
hodyreva [135]

Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
3 years ago
a union contract calls for a 6.5% salary increase and the new salary that a worker currently making $58,500 under this contract
irina1246 [14]

58500 x 0.065 = 3802.50

58500 + 3802.50 = 62302.50


7 0
3 years ago
A boy starts the week with 3kg of rice, every day he cooks 0.6kg. How much rice will he have left after 4 days?
almond37 [142]

Answer:

1.8 Kg

Step-by-step explanation:

a week- 3kg rice

every day-0.6 kg rice

therefore, multiply 3 kg by 0.6kg

3kg x 0.6kg =1.8 kg

he will have 1.8 kg rice after 4 days

have a great day !

5 0
2 years ago
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