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
Vinil7 [7]
3 years ago
14

4.9.18

Mathematics
2 answers:
Ivanshal [37]3 years ago
7 0

Answer:

(- 5, 10 ) and (- 1, 6 )

Step-by-step explanation:

Given the 2 equations

y = x² + 5x + 10 → (1)

y = - x + 5 → (2)

Substitute y = x² + 5x + 10 into (2)

x² + 5x 6+ 10 = - x + 5 ( subtract - x + 5 from both sides )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

Substitute these values into (2) for corresponding values of y

x = - 5 : y = - (- 5) + 5 = 5 + 5 = 10 ⇒ (- 5, 10 )

x = - 1 : y = - (- 1) + 5 = 1 + 5 = 6 ⇒ (- 1, 6 )

Kruka [31]3 years ago
3 0

Answer:

x= -5 or -1

Step-by-step explanation:

subst y = -x + 5 into y = x^2 + 5x + 10

-x +5 = x^2 + 5x +10

x^2 +6x +5 = 0

(x+5)(x+1)=0

x= -5 or -1

You might be interested in
its question #2 my son and I cannot figure out how to do this other than dividing. however, when u divide 59 into 422, are you s
anyanavicka [17]
Honestly I can see an argument for 7 shelves or for 8 shelves. 

When you do the calculation; \frac{422}{59}=7.15 You get 7.15 shelves. Clearly you cannot have .15 of a shelf so the logician in me wants to say you need 8 shelves! 

But if the assignment is aimed estimation skills, (Which is what I assume is being implied by the title of the assignment), then the easier calculation of \frac{420}{60}=7 is probably what the teacher was hoping for.

You might have been accidentally been calculating \frac{59}{422} =.139. Remember division is NOT communitive! i.e.1\div2\neq2\div1.

From the image;
The first step was to see that 59 can not go into 4..resulting in the zero above the 4, multiplying 0 by 59 and subtracting 0 from 4. 

The second step begins by bringing down the 2, seeing that 59 can not go into 42..resulting in the zero above the 2, multiplying 0 by 59 and subtracting 0 from 42.

The third step begins by bringing down the 2, seeing that 59 can go into 422 7 times (I tested this on the right by a short multiplication problem)..resulting in the 7 above the 2, multiplying 7 by 59 and subtracting 413 from 42.

This process continues....

8 0
3 years ago
Read 2 more answers
Scotty buys 10 bananas for $15. At this rate, how much will Scotty pay for 3 bananas?
ivolga24 [154]
Find what each banana costs by dividing the $15 dollars between the 10 bananas 15/10=$1.5 then times by 3 to get how much 3 bananas cost $1.5*3= $4.50
4 0
3 years ago
I need help on these questions can u make sure u do all of them cuz some people just only do one problem.
charle [14.2K]

Answer:

Ans. = 18

Step-by-step explanation:

= -1 (-1)(-3)(-6)

= 1×18

=18

5 0
3 years ago
Read 2 more answers
Help it’s for a quiz
Vilka [71]

Answer:

i cant answer that

Step-by-step explanation: I cant answer because if it was for a quiz i bet the quiz is over now so there is no point in answering.

6 0
2 years ago
Use intercepts to graph the linear equation<br> -2 + 2y = 7.
cricket20 [7]

Answer:

2y=7+2

2y=9

y=9/2

4.5

i hope to help you

3 0
3 years ago
Other questions:
  • 5/6 of 12 pls help this is hard
    5·2 answers
  • Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, an
    10·2 answers
  • If Hilary reads at this same rate for 20 minutes, how many words will she have read
    9·1 answer
  • Which relation below represents a one to one function
    7·2 answers
  • The equation Ip| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best desc
    15·1 answer
  • Line c passes through points (2, 1) and (6, 6). Line d is parallel to Line c. What is the slope to line d?
    14·1 answer
  • 2/ 4/5 in simplest form
    6·1 answer
  • A cardboard box has a volume that is 6,336 cubic inches. A company creates a new design with the same proportions, but instead t
    7·2 answers
  • Our school is selling t-shirts and sweatshirts as a fundraiser . One student buys 2 t-shirts and 2 sweatshirts for $26 . Another
    9·1 answer
  • A cab company charges a $10 boarding fee and a meter rate of $2 per mile. The equation is y=2x+10 where x represents the number
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!