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WITCHER [35]
3 years ago
10

Can you help me pls i have 1 day

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

-9

Step-by-step explanation:

2t + 8= -10

2t= -10-8 you bring 8 and it turns to a negative and. then you just minus it negative 10.

2t= -18. you divide both by 2

t= -9

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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
What is the answer to this question having trouble answering it​
Luda [366]

Answer:

9

Step-by-step explanation:

KL + KJ = 17

2 + 3x + 5x - 1 = 17 add like terms

8x + 1 = 17 subtract 1 from both sides

8x = 16 divide both sides by 8

x = 2

KL = 5x - 1 replace x with 2

5*2 - 1 = 9

4 0
3 years ago
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stiks02 [169]

Answer: The correct answer is (B)

Step-by-step explanation: No. Ari should have written the percent ratio as 5/100

8 0
3 years ago
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Yen put $50 of gas in his truck. The price per gallon was $4. Write an equation that could be used to find the number of gallons
Allushta [10]
<em>g </em>= gallons.

50 ÷ 4 = g ; which this would then show us that if we were to divide 50 by 4, this would then give us a total of 12.5 which this would show us that would be the amount that he has putted in his truck.
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3 years ago
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Premier Bank is planning to have a new building constructed. They would like the length of the building to be 40 feet longer tha
MaRussiya [10]

Let L, W, F, H, P represent, respectively, the length, width, number of floors, height, and perimeter of the building. Here are some equations that model the given information.

  • L = W + 40
  • H = 12×F
  • foundation cost = 10×L×W
  • cost of floors = 35000×F
  • total cost = foundation cost + cost of floors
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We can rewrite these into a system of equations involving L, W, F.

Let's look first at the relation between the perimeter and height. The two versions of perimeter are equal to each other, so we have (after substituting for H) ...

... 3H = 2(L+W)

... 3(12F) = 2((W +40) +W) . . . . substitute for H and L

... 36F = 4W +80 . . . . . . . . . . . simplify

... 9F = W +20 . . . . . . . . . . . . . divide by 4

Now, we can look at the cost equations.

... 1180000 = 35000F + 10W(W+40) . . . . . substitute for the various cost terms and for L

... 118000 = 3500F +W² +40W . . . . . . . . . divide by 10

The two simplified equations in W and F are ...

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There is one (nearly feasible) solution:

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... F ≈ 22.31

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  • height = 264 ft . . . . . (3×height = 792 ft vs. 804 ft)
  • cost = $1,170,010 . . . (vs. 1,180,000)

4 0
3 years ago
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