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Arte-miy333 [17]
3 years ago
11

The sum of two numbers is 27 and the difference is 19. Find the 2 numbers.

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

the sum of two numbers is 27. their difference is 5. find the number

Step-by-step explanation:

Let x be the first number and y be the second number    ...   so we have

x + y  = 27

x - y  =   5            Adding the equations, we have

2x = 32                Dividing through by 2, we have

x = 16                  And substituting  or x in the first equation, we have

16 + y  = 27         Subtract 16 from both sides  

y = 11

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NEED HELP!!!<br> WITH PROBLEM
pantera1 [17]

Answer:

x=32 hope it helps, if it does can i get 5.0 or brainliest

Step-by-step explanation:

7 0
2 years ago
SOMEONE PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!
MAXImum [283]

Answer:

Step-by-step explanation:

Let the quadratic equation of the function by the points in the given equation is,

f(x) = ax² + bx + c

If the points lying on the graph are (-3, -10), (-4, -8) and (0, 8),

For (0, 8),

f(0) = a(0)² + b(0) + c

8 = c

For a point (-3, -10),

f(-3) = a(-3)² + b(-3) + 8

-10 = 9a - 3b + 8

9a - 3b = -18

3a - b = -6 --------(1)

For (-4, -8),

f(-4) = a(-4)² + b(-4) + 8

-8 = 16a - 4b + 8

-16 = 16a - 4b

4a - b = -4 ------(2)

Subtract equation (1) from equation (2)

(4a - b) - (3a - b) = -4 + 6

a = 2

From equation (1),

6 - b = -6

b = 12

Function will be,

f(x) = 2x² + 12x + 8

     = 2(x² + 6x) + 8

     = 2(x² + 6x + 9 - 9) + 8

     = 2(x² + 6x + 9) - 18 + 8

     = 2(x + 3)² - 10

By comparing this function with the vertex form of the function,

y = a(x - h)² + k

where (h, k) is the vertex.

Vertex of the function 'f' will be (-3, -10)

And axis of symmetry will be,

x = -3

From the given graph, axis of the symmetry of the function 'g' is; x = -3

Therefore, both the functions will have the same axis of symmetry.

y-intercept of the function 'f' → y = 8 Or (0, 8)

y-intercept of the function 'g' → y = -2 Or (0, -2)

Therefore, y-intercept of 'f' is greater than 'g'

Average rate of change of function 'f' = \frac{f(b)-f(a)}{b-a} in the interval [a, b]

                                                               = \frac{f(-3)-f(-6)}{-3+6}

                                                               = \frac{-10-8}{3}

                                                               = -6

Average rate of change of function 'g' = \frac{g(b)-g(a)}{b-a}

                                                                = \frac{g(-3)-g(-6)}{-3+6}

                                                                = \frac{7+2}{-3+6}

                                                                = 3

Therefore, Average rate of change of function 'f' is less than 'g'.

6 0
3 years ago
Wilma buys a new game that is priced $43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase p
jek_recluse [69]
The answer is C. 80.75%

Hope this helps!
4 0
3 years ago
Read 2 more answers
College LEVEL can you help me? :S
Yanka [14]

Although the formula looks involved, the key here is looking to see where the information goes.

We are given all the pieces but need to convert mph to ft/s to use the formula. Let's do it with 1 mph so that we have a ratio to use. We and solve a unit conversion problem.

\frac{1mile}{hour} * \frac{hour}{60 minutes} * \frac{minute}{60 seconds} * \frac{5280 feet}{mile} = \frac{5280}{60*60} = \frac{5280}{3600} = 1.46666

That ratio tells us that 1 mph is 1.466666 ft/s. Now we solve two proportions.

1 mph / 1.466666 feet per second = 60 mph / x feet per second.

1x = (60)(1.466666)

So x = 88 feet per second.


Next, We repeat for 24 mph.

1 mph / 1.46666 feet per second = 24 mph / x feet per second.

1x = (1.4666666)(24)

x = 35.2 feet per second


Now we have the found appropriate V₁ and V₂. V₁ > V₂, so V₁ is 88 ft/s and V₂ is 35.2 ft/s. The problem tells us θ = 2.3 degrees, K₁ = .4 and K₂ = .06. The rest of the problem is calculator work. Start by substituting our degree measure of 2.3 degrees and the given values in the problem for V₁, V₂, K₁, and K₂

D = \frac{1.05[(88)^{2}-(35.2)^{2}]}{64.4(.4+.06 + (sin 2.3))}

D = \frac{1.05[(7744-1239.04]}{64.4(.46 + (sin 2.3))}

D = \frac{1.05(6504.96)}{64.4(.46 + 0.04013)}

D = \frac{6830.208}{64.4(0.50013)}

D = 6830.208 / 32.208372

D = 212.0631 = 212 (to the nearest foot)


Thus the car needs 212 feet to stop.

6 0
3 years ago
Identify the numbers that are located below -3.5 on a vertical number line.
Alex_Xolod [135]

Answer:

Using integers, the answer would be:

-4, -5, -6, -7, -8...

Step-by-step explanation:

8 0
3 years ago
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