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mario62 [17]
3 years ago
5

What value of y satisfies the system of equations: y=-6x+2 y=x^2+11

Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

The value of y that satisfies the system of equations is 20

Step-by-step explanation:

we have

y=-6x+2

y=x^{2}+11

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

the intersection point is (-3,20)

see the attached figure

therefore

The value of y that satisfies the system of equations is 20

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the function p(t)p(t)p, left parenthesis, t, right parenthesis models the average high temperature, in degrees celsius, of paity
Mnenie [13.5K]

The solution set for the last equation represents the set of all days when the towns have the same average high temperature.

  • The hotness of matter or radiation is expressed by the physical quantity known as temperature. The average air temperature for a specific time period, often a day, a month, or a year, as measured by a thermometer that has been properly exposed.
  • P(t) is the average high temperature, in degrees Celsius, of Paityn's town on t days.

       \begin{aligned} P(t)&=22.5+7.5\cos\left(\dfrac{2\pi (t-28)}{365}\right)\\\\  \end{aligned}

  • V(t) is the average high temperature, in degrees Celsius, of Vince's town on t days.

        \\ V(t)&=30.5+1.5\cos\left(\dfrac{2\pi (t-90)}{365}\right)

  • So, P(t) = V(t) represents the set of all the days when both towns have the same average high temperature.

To learn more about temperature, visit :

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5 0
1 year ago
Find the value of the second term in this sequence. 34, ____ , 84, 109, 134
prohojiy [21]
D = 109 - 84 = 134 - 109 = 25
2nd term = 34 + 25 = 59
8 0
4 years ago
Carson bought a coat for 40% of the original price, then another 15% off the discounted price. If the coat originally cost $149,
irinina [24]
Answer: $75.99

Steps: 149×0.6= 89.4
Multiply 89.4×0.85= 75.99

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5 0
3 years ago
NEED HELP I need to fill in the highlighted parts
Gemiola [76]

The statements and reasons why the given statements are true are presented in the following two column proofs;

Question 1

Given: 9·(x + 6) - 41 = 75

Prove \ x = \dfrac{62}{9}

Statement                   {} Reason

S1. 9·(x + 6) - 41 = 75   {}  R1. <u>Given</u>

S2. 9·(x + 6)  =  116        {}R2. <u>Addition property</u>

S3. <u>9·x + 54 = 116 </u>         {}R3. Distributive property

S4. 9·x = 62                   {}R4. <u>Subtraction property</u>

S5. x = \dfrac{62}{9}                     {} R5. <u>Division property of equality</u>

Question 2.

Statement                                     {}        Reason

S1. m∠A + m∠B = m∠D   {}                     R1.  Given

S2. ∠C and ∠D form a Linear Pair   {}   R2. Definition of linear pair

S3. ∠C and ∠D are supplementary   {}R3. <u>Linear pair ∠s are supplementary</u>

S4. <u>∠C + ∠D = 180° </u>  {}                           R4. Definition of supplementary

S5. m∠C + m∠A + m∠B = 180°   {}         R5. <u>Substitution property</u>

Question 3.

Statement                                     {} Reason

S1. ∠BDA ≅ ∠A                             {} R1. Given

S2. ∠BDA ≅ ∠CDE                      {}  R2. <u>Vertical angle theorem</u>

S3. ∠CDE ≅ ∠A                      {}       R3. Transitive property of congruency

S4. m∠CDE = m∠A                    {}   R4. <u>Definition of congruency</u>

S5. <u>(13·x + 20)° = (14·x + 15)°</u>      {}   R5. Substitution Property of Equality

S6. 14·x° = 13·x + 5°                       {}R6. <u>Subtraction property</u>

S7. x = 5                      {}                  R7. Subtraction property

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3 years ago
9x^2 - 12x + 4 = 0<br> Solve for x
hram777 [196]

Answer:

x = 2/3

Step-by-step explanation:

9x2−12x+4=0

Step 1: Factor left side of equation.

(3x−2)(3x−2)=0

Step 2: Set factors equal to 0.

3x−2=0 or 3x−2=0

x=  2 /3

4 0
3 years ago
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