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3 years ago

Translate the sentence into an inequality. The product of C and 9 is at most -28

Mathematics

1 answer:

Hatshy [7]3 years ago

7 0

Answer:

$9c \leqslant - 28$

Step-by-step explanation:

Since 9 and c are multiplied together and the product is at most -28, the equation would have to be the one above.

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Quadratic equations and functions. <br> n^2+2n-15=0

sveta [45]

Answer:

n = -5, 3.

Step-by-step explanation:

n^2 + 2n - 15 = 0

Let's check if we can factor this quadratic:

We need 2 numbers whose product is -15 and whose sum is +2.

There are 2 such numbers and they are +5 and -3, so the factors are:

(n + 5)(n - 3) = 0.

n + 5 = 0 or n - 3 = 0

therefore the zeroes are -5 and 3.

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3 years ago

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Find the missing length. Give all answers in the simplest radical form.

Solnce55 [7]

Answer:

x = 2 $\sqrt{74}$

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to solve for x

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² = 14² + 10² = 196 + 100 = 296

Take the square root of both sides

x = $\sqrt{296}$ = 2 $\sqrt{74}$

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3 years ago

Hello, I would like help with this, please.

disa [49]

Answer:

slope= 1/2

Step-by-step explanation:

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m= 4 - 0 / 8 - 0

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3 years ago

you are asked to find the mean of the data shown in the stem and leaf plot. which tools are appropriate?

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3 years ago

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Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?

bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function $f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}$

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for $x=-6$ in the function and simplify the function.

Hence, let us substitute $x=-6$ in the function, we get,

$f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}$

Let us apply the rule $-\left(-a\right)=a$ , we get,

$f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}$

Multiplying the numbers, we get,

$f(-6)=\frac{100}{-10+e^{0.6}}$

The value of $e^{0.6}=1.822$

Substituting the value of $e^{0.6}=1.822$ , we get,

$f(-6)=\frac{100}{-10+1.822}$

Subtracting the denominator, we have,

$f(-6)=\frac{100}{-8.178}$

Dividing, we have,

$f(-6)=-12.228$

Rounding off to the nearest tenth, we have,

$f(-6)=-12.2$

Thus, the value of f(-6) is -12.2

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3 years ago