Find the solutions of the quadratic equation x2 + 7x + 10 = 0.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

7 0

Answer:

Step-by-step explanation:

x² + 7x + 10 = 0

x = [-7 ± √(7² - 4·1·10)]/(2·1) = [-7 ± √9[/2 = [-7 ± 3]/2 = -2, -5

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Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$

So for one cup of carrot juice $\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used.

4 0

2 years ago

Write the equation of a line with a slope of −2 and a y-intercept of 5

Aleonysh [2.5K]

Y or f(x) = -2x+5

the slope goes with the variable (x) and when the value of x is entered it makes a line, and the y-intercept is next to show where the point is on the y - line

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4 years ago

Please help me due today i really need ur help :(

enyata [817]

Answer:

1) B. $12

2) B. Rich burns 1 more calorie per minute than Katie

3) C. Jeffery walks 5 meters per minute slower than Fumi.

Step-by-step explanation:

1) earnings / hours = salary

salary = 24/2 = 60/5 = 96/8 = 12

salary = $12

2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.

3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.