1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
5

Given y2 + 5y - 6 = (y + p)(y +q) find the values of p and q.

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

You might be interested in
The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year
puteri [66]

Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

8 0
4 years ago
Use the distributive property to rewrite the expression 3 (2+11)
kolbaska11 [484]

Answer:

3(2+11) = 3x2 + 3x11

Step-by-step explanation:

4 0
3 years ago
Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3
r-ruslan [8.4K]

Answer:

23

Steps ig

((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23

5 0
3 years ago
A car travels 15 miles in 45 minutes. Enter the number of miles the car travels in 60 minutes at this rate.
ra1l [238]

Answer: the mathematical equation in very probomatic the answer is already a solution to your equtivented question. 15 miles in 45 minutes then the fortentea of 60 minutues, for mathematical troduction the answer 15/45^)60)=567/(}9}10ths of a mile}xtimes the matter of 67} over 56|=34x4milespersecound-34.=4r%~times the sectation matter


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yard
Paul [167]
(1 7/10) / (3/5)
(17/10) / (3/5) =
17/10 * 5/3 =
85/30 = 
2 5/6........yes, because 1 7/10 divided by 3/5 = 2 5/6...answer C
5 0
3 years ago
Other questions:
  • the quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be represented by the equation y=-3x wher
    9·1 answer
  • Can u help me with (29,30,31)
    15·1 answer
  • What is the coefficient in this expression?
    14·2 answers
  • you need two bottles of fertilizer for 42 feet perimeter. How many bottles do you need for a similar garden of 105 feet perimete
    8·2 answers
  • Determine the models that could represent a compound interest account that is growing exponentially.
    7·1 answer
  • PLEASE HELP IS IT A B C OR D PLEASE HELP ME Thank You
    11·2 answers
  • Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If sh
    13·2 answers
  • HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
    12·1 answer
  • NO LINKS A CELL PHONE COMPANY FOUND THAT 20 OF THEIR 150 PHONES WERE DEFECTIVE IN MAY. IF THEY PRODUCED 750 PHONES IN JUNE, HOW
    15·2 answers
  • If a polynomial function, f(x), with rational coefficients has roots 3 and startroot 7 endroot, what must also be a root of f(x)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!