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ankoles [38]
3 years ago
8

X^2+3x-28 which is a biomial of this trinomial

Mathematics
2 answers:
Nostrana [21]3 years ago
8 0
Our polynomial is x^{2} +3x-28
We can tell from -28 that the binomials are one positive and one negative.
We can use a factoring chart. What adds to make +3x and multiplies to make -28. blank + blank=+3x
blank*blank=-28
To get a negative 28, we can multiply -4 and positive seven, which add together after being multiplied by x to get +3x. Therefore, you are left with (x+7) and (x-4).
(x+7)(x-4)

Rama09 [41]3 years ago
8 0
Hey mate!
You stuck?

The answer is: (x + 7)*(x - 4)
.
Check by multiplying:
.
x*x = x^2
x*(-4) = -4x
7*x = +7x
7*(-4) = -28


And since this is the polynomial that you were asked to factor, the two factors we found
are correct ... (x + 7)*(x - 4)
.

Hope this helps!
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The number of new visits to a website is decreasing exponentially. It can be modeled by the function h(d)=2170(0.92)^d, where h
In-s [12.5K]

Answer:

2) -141 hits/da  

Step-by-step explanation:

Calculate the values of h(2) and h(4)

h(2) = 2170(0.92)² = 2170 × 0.8464 = 1837

h(4) = 2170(0.92)⁴ = 2170 × 0.7164 = 1555

Calculate the average rate of change

Rate of change = (y₂ - y₁)/(x₂-x₁) = (1555 -1837)/(4 - 2) = -282/2 = -141 hits/da

The average rate of change is -141 hits/da.

In the figure below, the red curve represents the function h(d), while the green dashed line represents the average rate of change over the interval 2 ≤ d ≤4.

8 0
3 years ago
A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank
harkovskaia [24]

Answer:

The value  is P_o = \$ 561958.9

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  C =  2000 \  gallon

   The duration usage is  t = 15\ years \ ago

   The cost of 2000-gallon tank 15 years ago is P =  \$100,000

    The capacity of the second tank considered is C_1 = 5,000  

    The power sizing exponent is e = 0.57

     The initial construction cost index is  u_1 = 180

      The new construction after 15 years cost index is  u_2 =600

Equation for the power sizing exponent is mathematically represented as

      \frac{P_n}{P} = [\frac{C_1}{C} ]^{e}

=> Here P_n is the cost of 5,000-gallon tank as at 15 years ago  

So

     P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000

      P_n  =  \$168587.7

Equation for the cost index exponent is mathematically represented as

      \frac{P_o}{P_n}  =  \frac{u_2}{u_1}

HereP_o is the cost of 5,000-gallon tank today

So

       \frac{P_o}{168587.7}  =  \frac{600}{180}

=>    P_o = \frac{600}{180} * 168587.7

=>      P_o = \$ 561958.9

8 0
4 years ago
Can some one help me on this one
Likurg_2 [28]

Answer:

A. 1056

Step-by-step explanation:

v=length x width x height

v= 4 x 11 x 4

v= 176

since there are 6 prisms you must multiply it by 6

so, v= 176 x 6

v= 1056

6 0
2 years ago
Read 2 more answers
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Answer:

e < -5

Step-by-step explanation:

5e + 4 < 3e - 6

Subtract 3e from the right side

2e + 4 < -6

Subtract 4 from the left side

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Divide both sides by 2

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6 0
3 years ago
Will give 20 and mark brainliest if you give explanation and answer
elena55 [62]

Answer:

part \: a. = \boxed{2 \frac{2}{3} } \\ part \: b. =  \boxed{ \$8}

8 0
3 years ago
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