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2 years ago

Solve for x in the equation x2+14 x+17=-98

Mathematics

2 answers:

sesenic [268]2 years ago

7 0

Answer:

Step-by-step explanation:

x²+14x+17=-98

add 98 to each side

x²+14x+115=0

Solve with quadratic formula

a=1

b=14

c=115

\frac{-14 ±\sqrt{14^2-4*1*115} }{2*1}

Softa [21]2 years ago

4 0

Answer:

x=−7+√130 or x=−7−√130

Step-by-step explanation:

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Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

3 0

3 years ago

Read 2 more answers

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3

enot [183]

Answer:

(3a + 2b)3

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3

Step 5:

Factoring: 27a3+54a2b+36ab2+8b3

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2 years ago

Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find the mean, median, and

belka [17]

Answer: Mean = 204.6 , Median = 195 and mode =195

Step-by-step explanation:

The given data for Winona’s bowling scores for the past nine weeks : 195, 180, 195, 212, 208, 231, 179, 246, 195.

The formula to find Mean is given by :-

$\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\=\dfrac{1841}{9}=204.555555556\approx204.6$

For median , first we arrange data values in order as

179, 180, 195, 195, 195, 208, 212, 231, 246

Since the number of data values is 9 (odd).

∴ Median = Middle most data value = 195

Also, Mode = Most occurring data value = 195

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3 years ago

At 2:00 p.m. two cars start toward each other from towns that are 240 miles apart. The rate of one car is 15 mph faster than the

Vesnalui [34]

Hello! :)

The <u>answer</u> is x+15!

~Hope it helps!~ :)

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2 years ago

Find the common ratio of the geometric sequence -20, 140, -980, ...

aksik [14]

Answer:

-7

Step-by-step explanation:

-20 × -7 = 140

140 × -7 = -980

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3 years ago

Solve for x in the equation x2+14 x+17=-98​

Solve for x in the equation x2+14 x+17=-98