Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.
What are the factors/zeros of a function?They are given by the solutions of the function, that is, the values of x for which f(x) = 0.
In this problem, the function is given by:
f(x) = -2x² + 7x + 15.
Then:
-2x² + 7x + 15 = 0.
Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:
[tex]\Delta = 7^2 - 4(-2)(15) = 169[/tex]
[tex]x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5[/tex]
[tex]x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5[/tex]
The factors/zeros of the function are given by x = -1.5 and x = 5.
More can be learned about quadratic functions at https://brainly.com/question/24737967
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help plss i need help
What is the range for this set of data? 7, 15, 12 3 5 8 12.
Answer:
its D
Step-by-step explanation:
Solve and reduce to lowest terms: 6 x 3/8
PLEASE HELP FIVE MINUTES!! WILL GIVE BRANLEST
Answer:
18/8 or as a mixed number 2 ¹/4
Step-by-step explanation:
just times 6/1 by 3/8 which is 18 over 8 and simplify it into 2 ¹/4
Hii! Goodafternoon/morning!
Your question is asking how much is 3/8 + 3/8 + 3/8 is.
Normally, we would find a common denominator. But since they are all the same fraction, we don't need to.
First we need to figure out what 6×3 equals. That is 18.
We can't multiply 6×8.
So
We have to write the fraction has
18/8
But thats not simplified. So we need to turn this into a mixed number.
18/8 simplified is 2 2/8
We need to simplify that again.
2 2/8 simplified is 2 1/4.
So the answer is
2 and 1/4.
Brainliest??
-Nat
ulsi and Gary are competing in a basketball free throw competition. Tulsi’s ratio of free throws made to free throws missed is 3 to 5. Gary’s ratio of free throws made to free throws missed is 10 to 15. Who has the better ratio for making free throws?
Answer:
Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5
Step-by-step explanation:
Answer:
Garyyy!! super late but yea
Step-by-step explanation:
:)
1. Which three lengths could be the lengths
of the sides of a triangle?
A. 12 cm, 5 cm, 17 cm
B. 10 cm, 15 cm, 24 cm
C. 9cm, 22 cm, 11 cm
D. 21 cm, 7 cm, 6 cm
Answer:
B. 10cm, 15cm, 24cm
Step-by-step explanation:
The 2 shortest sides of a triangle added together must be longer than the longest side of the triangle.
10cm + 15cm > 24cm, so the answer is B.
Are the triangles shown congruent? If so, how do you know?
Please help
Answer:
6. yes they are congruent, they are exactly the same shape and size
7. no they are not congruent, they are different sizes
8. they are congruent, they have the same shape and size
Step-by-step explanation:
Solve for x. Explain.
Show your work in the space provided
Answer:
X=7
Step-by-step explanation:
Both are equal angles( the little 2 arrows prove that) so we set up the equation like this
75=11x-2
We need to isolate x to solve for it so we add 2 to both side since it's the opposite of subtraction.
our equation will then look like this
77=11x
last but not least, we divide 11 to both sides since it's the opposite of multiplication which 11 and X are doing
the answer is 7
Find the equation of a line, in slope intercept form, that has a slope of 3 and passes through the point (-4, 2)
Answer:
y= 3x+14
Step-by-step explanation:
3x because the slope is 3
14; solve for B by plugging in x=-4, y=-2 into y=3x+B
rewrite 2 11/12 as a fraction greater than 1
[tex] \tt 2 \dfrac{11}{12} [/tex]
[tex] \\ \\ [/tex]
[tex] \to\tt \dfrac{35}{12} [/tex]
If you bought a stock last year for a price of $120, and it has gone down 10% since
then, how much is the stock worth now, to the nearest cent?
Answer:
it is now at 108
Step-by-step explanation:
10% of 120 is 12 120-12=108
Find the average rate of
change, from 20 to 60 in
the table below.
Х
20
40
60
80
100
у
15
35
65
105
155
Answer:
20
20, 30, 40, 50
I think this might be the answer
Expand the following expression: 15(2+5x)
Answer:
30+75x
Step-by-step explanation:
What is the equation of the line that passes through the point (4,-7)(4,−7) and has a slope of 1/2?
Answer:
Add 22 Then eat caca
Step-by-step explanation:
Thats it
I've been trying to solve my homework for the last one hour
Answer:
3+1+4+8+6 // 3+1+4+9+5 // 4+7+4+5+2
Step-by-step explanation:
Here is three combinations, i am not sure if you are supposed to use all of the numbers or not but this is what i found.
The measure of Angle 1 is (3x - 75)°. Find the value of x.
Answer:
∠1=90°-->(3x-75)°=90°-->3x=90+75-->3x=165-->x=165/3=55Answer.
A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of 30 feet find the volume of the building use 3.14 for π.
Answer:
Radius=50 ftπ=3.14Height=30 ftVolume=?We know that,
[tex]\star \: \: \purple{Volume_{(cone)} =\pi {r}^{2} \frac{h}{3} }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times {(50)}^{2} \times \: \cancel\frac{30}{3} \: }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10} [/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }[/tex]
[tex]\star \: \: \purple{Volume_{(cone)} =78500 }[/tex]
Thus,the third option is correct.
[tex]\star \: \: {\blue{DisneyPrincess29}}[/tex]
The cost of a truck is $42,500 but the dealership wants to mark up the price by 40. What is the selling price of the truck?
I NEED THIS WITHIN HE NEXT HOUR PLS GUYS
Answer:
$59,500
Step-by-step explanation:
Assuming you mean 40%:
Two ways:
$42,500 + ($42,500 x 0.4)
OR
$42,500 x 1.4
= $59,500
what is equivalent to (3x - 4)^4
a. (3x - 4)(3x - 4)(3x - 4)(3x - 4)
b. (3x + 4)(3x + 4)(3x - 4)(3x - 4)
c. x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4
d. 9x^2 - 24x + 16
What is the range for this set of data?
7, 15, 12
O 3
O 5
O 8
O 12
Answer:
C/8
Step-by-step explanation:
Because the range is the biggest number subtracted by the lowest number and in our data sat 7,15,and 12 15 is the biggest number and 7 is the smallest so what's 15-7?
8 so C
Have a great day.
WILL GIVE BRAINLIEST
CAN SOMEONE GIVE A EXPLAINATION ABOUT CLOSURE PROPERTY WITH A SIMPLE EXAMPLE THAT IS EASY TO UNDERSTAND
Explanation:
A set is "closed" for a particular operation if performing that operation on members of the set always gives a member of the set.
closed example
For example, the set {0, 1} is closed for multiplication:
0 × 0 = 0
0 × 1 = 0
1 × 1 = 1 . . . all result values are members of the set
Performing multiplication on any two members of the set gives a member of the set.
__
not closed example
The same set {0, 1} is not closed for addition:
0 +0 = 0
0 +1 = 1
1 +1 = 2 . . . not a member of the set
Performing addition on any two members of the set does not always give a member of the set.
_____
Additional comment
Sometimes you are asked to demonstrate closure of a particular set using a particular example. As we see with addition, above, some examples may seem to demonstrate closure, while another example may prove the set is not closed. In short, you can demonstrate that the set is closed for a particular operation on a particular example, but that does not demonstrate closure in general.
Label the vertex, axis of symmetry, max or min,
range and domain.
f(x) = 2 (x - 2) + 5
=
Answer:
X=3
Step-by-step explanation:
“Order the following workers in order from highest hourly pay (on top) to lowest hourly pay (on bottom) : Molly worked 15 hours and earned $277.50
Paul worked 3 hours and earned $51
Jake worked 40 hours and earned $770
Jackie worked 6.5 hours and earned $126.75
I just need someone to put them in order pls it’s on a test and I got it wrong the first time,and when I asked no one answered on this app
Determine the sum of the measures of the indicated angles.
Answer: 720 deg
Step-by-step explanation:
The given angles are just all the interior angles in 2 quadrilaterals
So since the sum of the int. angles in 1 quadrilateral is 360 deg, the sum in 2 is 720 deg
I NEED HELP ASAP PLEASE!!!
Answer:
He can buy up to 2 outfits.
Step-by-step explanation:
440.12 + 2(12.86) + 19.26 + 53.96o ≤ 620
53.96o + 485.10 ≤ 620
53.96o ≤ 134.9
o ≤ 2.5
He can buy up to 2 outfits.
4x-4=4x+-4x
I NEED HELP!!!
Answer:
x= 1
if thats not what u trien find lmk and ill fix it n give correct answer
Step-by-step explanation:
A candy company claims that 31% of the candies are orange. We randomly sample 100 candies. We wish to know the probability our sample is 29% orange candies or less. Round answers to 4 decimal places and answer numerically (0.31, not 31%)
Find the probability our sample is 29% orange candies or less P(x<0.29)
Using the normal distribution and the central limit theorem, it is found that:
P(x < 0.29) = 0.2981.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
31% of the candies are orange, hence p = 0.31.We randomly sample 100 candies, hence n = 100.Then, the mean and the standard error are given by:
[tex]\mu = p = 0.31[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.31(0.69)}{100}} = 0.04625[/tex]
The probability our sample is 29% orange candies or less is the p-value of Z when X = 0.29, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.29 - 0.31}{0.04625}[/tex]
[tex]Z = -0.43[/tex]
[tex]Z = -0.43[/tex] has a p-value of 0.2981.
Hence:
P(x < 0.29) = 0.2981.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Find tan B. WILL MARK BRAINLIEST
what are the length and width of a rectangular traffic sign if the length exceeds the width by 22 inches and the perimeter is 136 inches?
Answer: L=46in
Step-by-step explanation:
Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in
Error Analysis Allie says JKL ~ XYZ
What is Allie's error?
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
How to determine Allie's errorThe statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
Angles J and X have equal measures of 55 degreesThe side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKLThe above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
https://brainly.com/question/14285697
What is the correct justification for the first step in solving this
equation? 3(x - 4) + 1 = 12x *
-
O Addition Property
O Division Property
O Commutative Property
O Distributitive Property
Answer:
x=11/9
Step-by-step explanation: