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Darina [25.2K]
3 years ago
6

Create a quadratic trinomial with zeros equal to 4 and 5

Mathematics
1 answer:
Ilya [14]3 years ago
5 0

Answer:

x^2 - 9x + 20

Step-by-step explanation:

(x - 4)(x - 5) (have to do the opposite for it to be positive)

FOIL method: X x X = x^2

-5 x X = -5x

-4 x X = -4x

x^2 - 5x - 4x + 20

-5 - 4 = -9 so...

x^2 - 9x +20 is the answer

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Which expressions are equivalent to 10a - 25 + 5b
sergey [27]

Answer:

<h2>(2a − 5 + b) · 5</h2><h2>10×(a − 2.5 + 0.5b)</h2><h2>(−2a + 5 − b) ⋅ (−5)</h2>

Step-by-step explanation:

10a-25+5b\\\\-2(-5a-25+5b)=(-2)(-5a)+(-2)(-25)+(-2)(5b)\\=10a+50-10b\qquad NOT\\\\(2a-5+b)(5)=(2a)(5)+(-5)(5)+(b)(5)=10a-25+5b\qquad YES\\\\10(a-2.5+0.5b)=(10)(a)+(10)(-2.5)+(10)(0.5b)\\=10a-25+5b\qquad YES\\\\(-2a+5-b)(-5)=(-2a)(-5)+(5)(-5)+(-b)(-5)\\=10a-25+5b\qquad YES\\\\-10(-a-2.5-0.5b)=(-10)(-a)+(-10)(-2.5)+(-10)(-0.5b)\\=10a+25+5b\qquad NOT

5 0
3 years ago
A wildlife reserve had 8 elephant calves born during the summer and now has 31 total elephants. How many elephants were reserved
julia-pushkina [17]
The correct answer is 23

5 0
3 years ago
Read 2 more answers
g If a hypothesis test with a significance level of α rejects H0: μ1=μ2 in favor of Ha: μ1≠μ2, then thecorresponding (1- α)% con
Effectus [21]

Answer:

The statement, (1- <em>α</em>)% confidence interval for (μ₁ - μ₂) does not contain zero is TRUE.

Step-by-step explanation:

The hypothesis for a test is defined as follows:

<em>H</em>₀: μ₁ = μ₂ vs. <em>H</em>ₐ: μ₁ ≠ μ₂

It is provided that the test was rejected st the significance level <em>α</em>%.

If a decision is to made using the confidence interval the conditions are:

If the null hypothesis value is not included in the (1 - <em>α</em>)% confidence interval then the null hypothesis will be rejected and vice versa.

In this case the null hypothesis value is:

<em>H</em>₀: μ₁ - μ₂ = 0.

If the value 0 is not included in the (1 - <em>α</em>)% confidence interval for the difference between two means, then the null hypothesis will be rejected.

Thus the statement, (1- <em>α</em>)% confidence interval for (μ1- μ2) does not contain zero is TRUE.

5 0
3 years ago
This is a CALCULUS question, "Derivatives As A function"
irina1246 [14]

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of  x  such that the following limit exists:

f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}

4 0
3 years ago
Tyler purchased a shirt that was on sale for 15% off the original price. The original price of the shirt was d dollars. Decide w
vichka [17]
I think the answer would be <span>A=0.85
B=(1 - 0.15)d
C=85d
D=0.85d</span>
5 0
3 years ago
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