9514 1404 393
Answer:
a < -5 or 11 < a
Step-by-step explanation:
For there to be two points of intersection, there must be 2 real solutions to ...
ax +9 = -2x^2 +3x +1
Rewriting to standard form, we have ...
2x^2 +(a -3)x +8 = 0
The discriminant of this equation is ...
B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55
We want this to be greater than 0. Factoring, we get ...
(a -11)(a +5) > 0
This will be true for values of a that are less than -5 or greater than 11.
__
The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.
I need help I don't understand this at all.
please mark this answer as brainlist
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In
what ratio does the point (m, 4) divide the line joining points (5, 1) and
(-3, 2)? Also, find the value of m.
what ratio does the point divide the line
Answer:
Part 1; The point (m, 4) divides the line externally in the ratio 3:2
Part 2; m = -19
Step-by-step explanation:
Part 1
The given point dividing the line = (m, 4)
The given points on the line = (5, 1) and (-3, 2)
Let A and B, represent the points (5, 1) and (-3, 2) respectively, and let P represent the point, (m, 4)
Therefore, we have;
The vertical distance from 4 to 1 = 4 - 1 = 3 units
The vertical distance from 4 to 2 = 4 - 2 = 2 units
Given that the point 4 is over the given points joined by the line, (5, 1) and (-3, 2), we have that the point (m, 4) divides the line in the ration -3:2 or externally in the ratio AP:PB = -3:2
Part 2
Therefore, we have;
(m - 5)/(m - (-3)) = 3/2
3·m + 9 = 2·m - 10
m = -19
I’m so confuseddddd
Answer:
i think second number.
not sure but i think that's the answer
ILL MARL BRAINIEST IF YOU DO THIS CORRECTLY!!!
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
Answer:
okie dokie 5557/57890/6678/2559
all I've found is 1 but how do I work that out properly beaides guess and check
Answer:
1
Step-by-step explanation:
(1-x)/x=0
or, 1-x=0
or, -x=-1
or, x=1
Answer:
F(x) = 0 when x=1
Step-by-step explanation:
We need the numerator to equal zero
1-x = 0
Add x to each side
1-x+x = 0+x
1 =x
The denominator cannot equal zero( The denominator does not equal zero when x =1)
F(x) = 0 when x=1
Can someone please help me?
Answer:I’m not sure
Step-by-step explanation: try and use the scientific demos
Find the geometric mean of 5/6 and 1/2.
Answer:
Step-by-step explanation:
[tex]G.M.=\sqrt{\frac{5}{6} \times \frac{1}{2} } =\sqrt{\frac{5}{12} }[/tex]
Sz – [32 – (10z + 2)]
HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM
Using Pythagorean thereon
[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]
[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]
[tex]\\ \Large\sf\longmapsto P^2=45[/tex]
[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]
[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]
A dripping tap loses water at a rate of 5mL a minute.
How long does it take to lose one litre?
1 liter = 1000mL
Divide 1000mL by mL per minute:
1000 / 5 = 200 minutes ( 3 hours and 20 minutes)
John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.
Find the total number of pages in the novel.
Answer: 441 pages
Step-by-step explanation:
[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]
Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
PLS ANSWER QUICK WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.
If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:
[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:
[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get
256 + 2x = 450; subtract 256 from both sides to get
2x = 194 and divide by 2:
x = 97
The one test score was a 97 and the other one, which was 3 less than that, was a 94.
What is 0.04% of 30? Round to the nearest hundredth
Answer:
0.012
Step-by-step explanation:
Have a good day.
Answer:
.01
Step-by-step explanation:
Change the percent to decimal form
.04% = .0004
.0004 *30
.012
Round to the nearest hundredth
.01
Chris is saving for a down payment to buy a house. The account earns 3.9% interest compounded semi-annually, and he wants to have $8,000 in 10 years. What must his principal be? Round your answer to the nearest cent. Do not round at any other point in the solving process; only round your answer.
Answer:
$5436.82
Step-by-step explanation:
8000 = P(1 + .039/2)^10*2
[tex]\frac{8000}{\left(1+\left(\frac{0.039}{2}\right)\right)^{20}}=5436.82538[/tex]
5√27-2√48-5√3-√(3-2√3)2
Answer:
4√3
Step-by-step explanation:
5√27-2√48-5√3-(√3-2√3)2
= 5√(3x9)-2√(3x16)-5√3-2√3+4√3
= 5(3)√3-2(4)√3-5√3-2√3+4√3
= 15√3-8√3-5√3-2√3+4√3
= 4√3
A box office analyst seeks to predict opening weekend box office gross for movies. Toward this goal, the analyst plans to use online trailer views as a predictor.
Answer and Step-by-step explanation:
A box office predicts to open the weekend box office gross for a movie, and analysts plan to use the online trailer views as a predictor. The 66 movies and the number of the online trailers view from the trailer through the Saturday before the movie and open the weekend box office gross in a million dollars. Linear regression was performed on the data, and the result is the linear regression equation such as Y = -0.724 + 1.41X. At 0.05 level of significance, the linear relationship between the view and opening weekend is as H0: B1 = 0 H1:B is not equal to 0. To compute the test statistic, do the test. The standard error of deviation for this is Syx = 20.702, and the line model is appropriate. Click the icon to view the data on trailer views and open the weekend box office gross. The linear relationship between the trailer views and opening weekend box gross is to compute the test statistics at the level of significance. The test statistic is round to two decimal places as needed, and the p-value is round to three decimal.
can u help me on this... I will mark u as brilliant students.. plz
Answer:
For number 5 . a= 3 and b = -1
"three times the difference between t and y"?
Answer:
3(t-y)
Step-by-step explanation:
difference means subtractions
3*(t-y)
Answer:
3 × (t - y)
Step-by-step explanation:
three times = 3×
the difference between t and y = t - y
Now that we have separated the key information in the word expression, you can now piece together the expression.
3 × (t - y)
Hope this helped.
8^x times 2^(4-x) = 1
Find x.
With detailed steps.
Answer: x= -1
Step-by-step explanation:
In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have
4x +4-x4x-x=13x+4-4 =1-43x/3 = -3/3x= -1Hope that helped!how can i round 162 to the nearest hundred in a easier way with multiplying
Answer:
it's 200
Step-by-step explanation:
it is rounded to 200 because the last two digit which are 62 should be 50 or above.
I need two people to help me… brainliest….
Plssss help fasttt , I’ll mark u as the brainlest and follow u too
[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
sec² θ (1 + sin θ) (1 - sinθ ) = k
sec² θ(1-sin²θ ) = k
sec² θ cos² θ = k
sec² θ. 1 /sec²θ = k
1 = k
.. k = 1.
Which of the following represents the set in words?
{x | x ≤ 0}
all negative integers
None of these
all positive integers
all negative real numbers
all positive real numbers
Answer:
It's actually: None of these.
Think about it: In this case we have an inequality, of x ≤ 0.
This basically means, that x can be less than OR equal to 0.
But 0 is neither negative or positive, so we can eliminate the following answer choices:
- all positive integers
- all negative real numbers
- all positive real numbers
- all negative integers
And we are left with "None of these"
Let me know if this helps!
Option B is correct. None of these options is the right answer since zero is neither an integer nor a real number
Before we can decide which option is correct, first we must integers and real numbers are.
Integers are whole numbers. They can either be positive and negative.Real numbers are numbers that are both whole numbers and fractions.zero is neither positive nor negative integerGiven the set of numbers {x | x ≤ 0}. The set of numbers in the set will be all integers less than zero including zero (zero is not an integer)
Hence the set of numbers are not all negative integers since 0 is not a negative integer.
They are not all positive integers rather they are mostly negative integers
They are not all positive and negative real values because zero is not a real integer.
Hence we can conclude that None of the options is correct.
Learn more here: https://brainly.com/question/2691012
Hey can anyone help me pls
Answer:
6.8=6 8/5
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hope it help
please help, is associated with angles. thank u :)
Answer:
Step-by-step explanation:
Because those lines are parallel, that means that the angle measuring 75 and the angle measuring 4x + 7 are alternate interior and by definition are congruent. Therefore,
75 = 4x + 7 and
68 = 4x so
x = 17
The roots of x2 - 5x - 4 = 0 are
A. 1 and 4
5+41
*2
В.
C. -1 and -4
-5+141
2
Answer:
the answer to this is:
[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]
Step-by-step explanation:
Find the coordinates of the image of Z(−3,−1) after the translation (x,y)→(x−2,y−7).
======================================================
Explanation:
We get this point by doing two things.
Subtract 2 from the x coordinate, due to the x-2Subtract 7 from the y coordinate, because of the y-7If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8
So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)
You could also show your work like this
[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.
Find the area and the circumference of a diameter 8yd Use the value 3.14 for π, and do not round answer
Answer:
circumference = 25.12 yards
area = 50.24 yards squared or yd^2
Step-by-step explanation:
circumference = pi * d
3.14 * 8 =
25.12
area = pi* r^2
r = 1/2 of d = 4
area = pi * 16
3.14 * 16 =
50.24
Answer:
Area: 50.24yds^2 Circumference: 25.12yds
Step-by-step explanation:
Area: The formula for area of a circle is a = πr^2.
The radius (r) of the circle is 4yds because it is half the length of the diameter. The equation would like like this:
A = (3.14)(4)^2
A = (3.14)(16)
A = 50.24yds
Circumference: The formula for circumference is 2πr. We already know all of the variables so we can plug them in.
C = 2(3.14)(4)
C = 25.12yds
Hope this helps
calculate the area of the given quadrilaterals.
Answer:
dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm
the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn
area of trapezium is (1/2)(a+b)h
a is the shorter side and b the longer side
(1/2)*(7+17)24
=288cm²