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
atroni [7]
4 years ago
15

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che

ck all that apply.
y = x2 + 5x + 10
y + 5x = x2 + 10 + 4x – 10
4x – 10 = x2 – 5x + 10
0 = x2 – 9x
0 = x2 – 9x + 20
One x-value of a solution to the system is 4.
Mathematics
2 answers:
guapka [62]4 years ago
8 0
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

fredd [130]4 years ago
7 0

Answer:

0+x^2-9x+20

One x-value of a solution to the system is 4

Step-by-step explanation:

You might be interested in
-5-6x+7x=-3 what's the answer
Arturiano [62]
The answer to this question is x=2

6 0
4 years ago
A A tent is in the shape of a triangular prism . How much material is needed to make the tent ?
MAVERICK [17]

Answer:

135

Step-by-step explanation:

Prism

volume= area of base times distance between your 2 bases

v=bh/2

i did  b=area of base, h=height , v=volume , 1/2...so i believe that you take 6 and multiply it by 5 which equals 30 then you multiply the 30 by 9 and i got 270 then i divide by 2... so 270/2 which equals 135..so the answer is 135

(for a rectangular shape its just length times height

5 0
3 years ago
In a study of pleas and prison​ sentences, it is found that 6060​% of the subjects studied were sent to prison. Among those sent
Dovator [93]

Answer:

a. 40 %

b. 34.3 % ( approx )

Step-by-step explanation:

Let S is the event of the subjects studied that were sent to prison,

S' is the event of the subjects studied that won't sent to prison,

G is the event of pleading guilty,

G' is the event of not pleading guilty,

According to the question,

P(S) = 60% = 0.6 ⇒ P(S') = 1 - P(S) = 1 - 0.6 = 0.4,

P(S∩G) = 46% of 60% = 0.46 × 0.60 = 0.276,

P(S'∩G) = 36% of 40% = 0.36 × 0.40 = 0.144,

P(G) = P(S∩G) + P(S'∩G) = 0.276 + 0.144 = 0.42

a. The of getting someone who was not sent to prison, P(S') = 0.4,

b. the probability that this person was not sent to prison when it is given that the subject entered a guilty​ plea,

P(\frac{S'}{G})=\frac{P(S'\cap G)}{P(G)}=\frac{0.144}{0.42}\approx 0.343=34.3\%

7 0
4 years ago
Does anyone know the answer??
Viktor [21]

Answer:

175°

Step-by-step explanation:

If angle x = 058° and angle y = 127° then the bearing A from point O is 360 minus angle x plus angle y.

Solution:

360° - (058° + 127°) = 175°

This is because the complete turn from north to north is 360°.

6 0
3 years ago
Analyze the diagram below and complete the instructions that follow.Find m
vladimir2022 [97]
Answer: 70.5°

Solution:

Call B, the measure of the angle CBA

cos(B) = adjacent-leg / hypotenuse = 3 / 9 = 1 / 3

=> B = arc cos (1/3) ≈ 70.5°

I will calculate other measures for you, trying to cover the most common ratios: sine, cosine, tangent

1) (segment CA)^2 + (segment BC)^2 = (hypotenuse)^2

=> (segment CA )^2 = (hypotenuse)^2 - (segment BC)^2 = 9^2 - 3^2 = 81 - 9 = 72

=> segment CA = √72 = 6√2

2) sin(B) = opposite-leg / hypotenuse = 6√2 / 9 =2√2 / 3

3) sin(A) = cos(B) = 1/3

4) cos(A) = sin(B) = 2√2 / 3

5) tan(B) = opposite-leg / adjacent-leg = (2√2 / 3 ) / 3 = 2√2 / 9

6) tang(A) = 3 / (2√2 /3) = 9 /( 2√2) = 9√2 / 4

3 0
4 years ago
Other questions:
  • The total interest on a discounted loan is $40. If Bob received $480 into his bank account on drawdown, what is P0, the loan pri
    6·1 answer
  • Todd is traveling to Mexico and needs to exchange $400, in US dollars, into Mexican pesos. If each dollar is worth 12.29 pesos,
    12·1 answer
  • The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expres
    5·1 answer
  • Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years.
    11·1 answer
  • Am I right ? And if I'm not can you help please?
    13·1 answer
  • PLEASE HELP ASAP<br> Find the surface area and volume of the cylinder below:
    6·1 answer
  • The ratio of boys to girls in a class is 5:7 there are 46 students how many students are boys
    11·1 answer
  • Which of the following statements best defines a sample space?
    15·1 answer
  • A farmer is planting some marigolds in a row. The row is 2 yards long. The flowers must be spaced ⅓ yard apart so they will have
    6·1 answer
  • Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!