WORTH 20 POINTS!!!
Find the discriminant of the quadratic equation x2 + 6x + 14 = 0 and use it to determine the number and types of solutions.
b2 − 4ac
−20; Two nonreal solutions
−20; One real solution
92; Two real solutions
92; One real solution
Answer:
-20;two nonreal solutions
Step-by-step explanation:
D=b^2-4ac=36-14*4=-20
because after that you need to write D^1/2 and D is <0,the solutions are unreal
Answer:
-20 and two nonreal solutions.
Step-by-step explanation:
The discriminant of a quadratic equation uses the equation:
[tex]b^2 - 4ac[/tex]
Where the value of this calculation can tell you what solutions there are, plug known values in:
[tex]x^2 + 6x + 14 = 0\\a = 1\\b = 6\\c = 14\\[/tex]
[tex]b^2 - 4ac\\6^2 - 4(1)(14)\\36 - (4 * 14)\\36 - 56 = -20[/tex]
As -20 < 0, this means that there is not a real solution, resulting in the first option being correct.
Hope this helps!
Cassidy's gross income for the year included salary, $ 11,400; commission,
$ 17,720; and interest, $540. Her adjustments to income were payments to
a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her
taxable income.
A. $29,120
B. $9,000
C. $20,660
D. $24,120
Answer:
C. $20,660
Step-by-step explanation:
Letter c is the answer
if the set of values represent points on a line, what is the value of a?
Answer:
a = 7
Step-by-step explanation:
Equation of line : y = mx + b
m = slope
Plug in coordinates:
Slope = Change in y/Change in X
Slope = 13-4/5-2 = 9/3 = 3
Plug in coordinates:
y - intercept = b
13 = 5(3) + b
13 = 15 + b
b = -2
Equation: y = 3x - 2
Input 3 for x
y = 3x - 2
y = 9 - 2
y = 7
-Chetan K
Select the correct answer.
Answer:
C
Step-by-step explanation:
ΔFDC and ΔFBA are similar AA Similarity
Use the graph to complete the statements.
The car gets
30
miles to the gallon.
After the car has traveled?
miles, 2 and two-thirds how many gallons of gas have been consumed.
Answer:
The answer is 80 miles 2/23
Step-by-step explanation:
I hope this helps
The Theater Club would like to take a trip to the local theater to see a play. They need to pay for admission to the play, lunch at the theater, and transportation to and from the theater. Admission to the play is $3 per person, and lunch costs $6 per person. It costs $55 to charter a bus for the event. The club raised $244 for the total cost of the trip. How many people can go on the trip?
Answer:
ok
Step-by-step explanation:
try and check the denominator and cross check with the first expense made
Can you please give me that answer
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).
Answer:?
Step-by-step explanation:?
Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
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I NEED THIS ASAP!!
Compare -7 and 5. Which statement is not true?
O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.
please help and show work
Answer:
When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.
a/6-1/2=1/3 thats 7 grade math
Answer: a = 5
Step-by-step explanation:
a/6-1/2=1/3
a/6 = 1/3 + 1/2
a/6 = 2/6 + 3/6
a/6 = 5/6
a = 5
Check:
5/6-1/2 = 1/3 ?
5/6 - 3/6 = 1/3?
2/6 = 1/3 ?
1/3 = 1/3 YES
Answer:
a = 5
Step-by-step explanation:
a/6 - 1/2 = 1/3
=> a/6 = 5/6
=> a = 5
Hoped this helped.
When multiplying exponents do you add them.
plz help due soon
Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?
Answer:
D
Step-by-step explanation:
6% of 40 is 2.4, 40.00+ 2.40=42.40
Answer:
42.50
Step-by-step explanation:
40X1.06
42.40
-3(a-6)=-(4a-6)-3a
solve
Answer:
a = -3
Step-by-step explanation:
-3(a-6)=-(4a-6)-3a
-3a+18 = -4a+6-3a
-3a+18 = -4a-3a+6
-3a+18 = -7a+6
-3a+7a = 6-18
4a = -12
4a/4 = -12/4
a = -3
How to add fractions with whole numbers.
Answer:
To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.
Step-by-step explanation:
helppppppppppppppppppppppppppppppppppppppppppppppp i will biranlllllly
Answer:
I don't know if this is right, sorry. I tried my best to determine them, none of them seemed like the would never happen besides the dog one. Have a nice day!
Step-by-step explanation:
a) even chance/ 1/2
b) even chance/ 1/2
c) no chance :( 0
d) even chance/ 1/2
e) even chance/ 1/2
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
Streams, rivers, ponds, lakes, and wetlands are all kinds of ecosystems.
Answer:
True
Step-by-step explanation:
They can sustain themselves
Answer:
Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.
y=-2
4x-3y=18
solve by substitution
Answer: x= 3
Step-by-step explanation:
Find the number that makes the ratio equivalent to 1:2.
6:
What is it
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
Two groups of 22 patients, hence, the standard errors are:
[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]
[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]
The distribution of the differences is has:
[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{25 - 0}{11.14}[/tex]
[tex]t = 2.2438[/tex]
The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.
Using a t-distribution calculator, this p-value is of 0.0302.Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at https://brainly.com/question/25600813
Select the correct answer from each drop-down menu.
1. Congruent, not congruent or supplementary
2 adjacent, corresponding or vertical
1. Congruent
2. verticle (across from each others)
A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$843.36
Step-by-step explanation:
:))
help please !!!!!!!!!!!!!
Answer: + or - 8
Step-by-step explanation:
A. x^2 could be represented by the area of a square. Length and width are the same, so the area would be x^2. The answer is clearly wrong, since a square with sides of 32 would create a much larger area than 64.
B. x^2 = 64
What number times itself equals 64? = 8
This could be either positive or negative, since (-8)^2 is also equal to 64.
If the radius of a circle equals 20 cm find its circumference correct to one decimal place
Answer:
125.66
Step-by-step explanation:
i don't get the one decimal place part but there your answer
100 points if u get this right ty have a nice day !
Answer:
its 32 yards if I'm correct
Step-by-step explanation:
I'm not for sure but I remember doing something like this
9/12 as an equivelant fraction
Answer:
3/4
Step-by-step explanation:
9/12
Divide the top and bottom by 3
9/3 = 3
12/3 = 4
The fraction becomes 3/4
A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?
Calculate the bee's unit rate of meters per second.
What is the equation of constant proportionality? (y=kx)
Answer:
15 seconds
Step-by-step explanation:
The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?
answer =0.8
Step-by-step explanation:
if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit
The unit cost of bubble gum is $0.8 per pack.
What is a linear equation?A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).
The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.
The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.
Therefore, the unit cost of bubble gum is $0.8 per pack.
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