The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
A quadratic equation is in the form:
y = ax² + bx + c
Where a, b and c are constants.
If b² - 4ac > 0, then the equation have exactly two different integer solutions.
Given the equation:
x² - bx + 16 = 0, to have exactly two different integer solutions:
(-b)² - 4(1)(16) > 0
b > 8
The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8
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Answer:
x=8
Step-by-step explanation:
Which table represents a function? Please respond within 5 minutes!
Answer:
The last one at right bottom
Answer:
Is bottom left
Step-by-step explanation:
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)
Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
Help me or not i have 10 points to offer
Answer:
I think 42.5
Step-by-step explanation:
About 89% sure
Which of the following is equal to the expression below?
A.
B.
C.
D.
Answer:
D
Step-by-step explanation:
Answer:
D
hope this helps
An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have yes votes from three of the voting members, one of which must be the president's. A weighted system that could represent this situation is:_________
Answer:
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
Step-by-step explanation:
From the question, the executive board has 4 persons.
P = president
V1 = vice president 1
V2 = vice president 2
V3 = vice president 3
The president must be part of three members formed from these 4 to vote yes for a motion to pass
The weighted system can be represented as
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
These are the 3 possibilities.
Find the median of the following numbers. 15, 28, 44, 42, 32, 48
Answer:37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
First, sort the data in increasing order.
15, 28, 32, 42, 44, 48
The number of data is even (there are 6 numbers), so there isn't one in the middle. In that situation, you average the middle 2 data (32 and 42).
(32 + 42)/2 = 74/2 = 37
If there IS a middle numbe, just use it.
Electrical power (P) is measured in watts using the formula P = V · I where V is the voltage in volts and I is the current in amperes. If there are 40 volts running to a light bulb of 60 watts, how much current is flowing through the light bulb?
Answer:
1.5 amps
Step-by-step explanation:
P = V.I
60 = 40.I
60/40 = 40.I/40
I = 1.5
45-45-90 Right Triangles! Can somebody please help me? ASAP!!
Answer:
Step-by-step explanation:
45-45-90 triangles always have the same relationships
leg = x, hypotenuse = x√2
If you have the leg length multiply it by √2 to get the hypotenuse
hypotenuse = x, Leg = x/√2
If you have the hypotenuse length divide it by √2 to get the leg
-----------------------
7)
leg = 3√2 / 2
hyp = 3√2 / 2 * √2 = 3
8)
leg = 5√2
hyp = 5√2 *√2 = 10
9)
hyp = 2
leg = 2 / √2 = √2
10)
leg = 13√2 / 2
hyp = 13√2 / 2 * √2 = 13
11)
leg = 3√3
hyp = 3√3 * √2 = 3√6
12)
leg = 12
hyp = 12√2
Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
[tex](a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a[/tex]
[tex]p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} [/tex]
A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's program director wishes to know whether more than half the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest
Answer:
H0 : p = 0.5
H1 : p > 0.5
Step-by-step explanation:
The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is
Since, p is the proportion who prefer the regular day time program;
The hypothesis to test is :
If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.
The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.
The null ;
H0 : μ = 0.5
(Click on the picture to see question) please help me!
Hi there! Using one of the logarithmic property below:
[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]
From the equation:
[tex] \large{ log_{2}(y) = x + 7}[/tex]
Therefore,
[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]
Answer
y = 2^(x+7) the second choice.Can anyone explain step by step how to get this answer?
Will mark branliest!!
Answer:
Step-by-step explanation:
28°
Please help I don’t understand
Answer:
the 1 one and the 4 one
Step-by-step explanation:
help i need the value of y
Answer:
y = 87º
Step-by-step explanation:
Vertical angles are congruent
y = 87º
Answer:
87°
Step-by-step explanation:
y is vertical to 87° meaning that the two are congruent which makes them the same
X = mb + y
Is this written out in slope intercept form?
Answer:
no
Step-by-step explanation:
y=mx+b
hope this helps
Prove that the shape below is a rectangle.
Answer:
HG = EF
GF = HE
Step-by-step explanation:
A curve has the equation y=x^3+8x^2+5
PLEASE HELP ASAP/ SOON
THANK YOU
Find the sum, if it exists, of the infinite geometric series that is related to the infinite geometric sequence {1,521, ; 1,369 ; 1,232; ...}. Round the value of r to the nearest hundredth, if needed
S = 16,643
S = 15,210
The infinite geometric series diverges.
S = 12,560
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
9514 1404 393
Answer:
(b) S = 15,210
Step-by-step explanation:
The common ratio is ...
r = 1369/1521 ≈ 0.90
So, the sum is ...
S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series
Factor 2x^2 c^2 + 3xc^2- 35c^2
help needed with math
Answer:
angle y = 49°
Step-by-step explanation:
If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.
Help me pls I need help fast give point and brianlylist
Answer:
Step-by-step explanation:
A) 2( 4×5 +6×5+6×4)=148 cm²
B) 2( 4x6 + 13 ×6 + 13×4) = 308 in²
8;3;-2:-7:12 calculate the nth term
Answer:
45544554554554445455544
Step-by-step explanation:
Help me PLEASEEEEEEEEEEEEE
Answer:
D. 144
Step-by-step explanation:
find the volume of the shipping container and divide it by the volume of a box.
[tex]2\frac{2}{3}[/tex] × [tex]1[/tex] × [tex]2[/tex] = [tex]\frac{16}{3}[/tex]
[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{27}[/tex]
[tex]\frac{16}{3}[/tex] divided by [tex]\frac{1}{27}[/tex] is 144.
Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance?
A. Reject the null hypothesis, since 3.79 > 2.
B. Fail to reject the null hypothesis, since 3.79 > 2.
C. Reject the null hypothesis, since 0.15 > 0.05.
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
E. Reject the null hypothesis, since 0.15 < 3.79.
Answer:
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
Step-by-step explanation:
P-value and decision regarding null hypothesis:
If the p-value is larger than the significance level, we do not the null hypothesis.
Otherwise, we reject the null hypothesis.
In this question:
The test statistic is χ2=3.79, with a p-value of 0.15.
The level of significance is 0.05.
Since 0.15 > 0.05, we fail to reject the null hypothesis, and the correct answer is given by option D.
Relationships in Figures
Determine the unknown side length of the golden rectangle with the given width length.
w = 11, I + ?
a. 6.8
b. 17.8
c. 13.35
d. 5.1
Please select the best answer from the choices provided
Answer:
B. 17.8
Step-by-step explanation:
I calculated it logically
Challenge: Solve 2x+y=7 for y. What does y equal?
Y= X+
Answer:
y = -2x+7
Step-by-step explanation:
2x+y=7
Subtract 2x from each side
2x+y -2x=-2x+7
y = -2x+7
The number of manatee deaths along the Florida coast was recorded each year from 1977 to 1990. Below is a regression printout for number of deaths versus number of boats for each of the 14 years. Which of the following would give a 95% confidence interval for the slope of the regression line?Regression AnalysisThe regression equation isDeaths = - 41.4 + 0.125 BoatsPredictorCoefStdevt-ratiopConstant-41.4307.412-5.590.000Boats0.124860.012909.680.000s = 4.276 n = 15 R-sq = 88.6% R-sq(adj) = 87.7%0.125± 2.160(.013)0.125± 2.145(.013)0.125± 2.179(.013)0.125± 2.179(4.276)0.125± 2.145(4.276)
the anser is 333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
Jeremy is randomly selecting an outfit to celebrate Probability Day at his school. He can choose from a green (G) or purple (P) shirt, denim (D) or khaki (K) pants, argyle (A) or crew (C) socks, and boots (B), sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?
Which phase change takes place when heat is removed from water?
A. Liquid to gas
B. Solid to liquid
C. liquid to solid
Answer:
I don't see an option Gas to liquid but the correct answer will be gas to liquid.
Explanation:
If u heat water will evaporate and form water vapour (gas form). Anytime heat is released from a gas, it will change forms to be a liquid. It is like reverse condensation.
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze? Use the six-step method.
To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]
Therefore, 500 gallons of 80% antifreeze solution is required.