9514 1404 393
Answer:
(a) c = 4
(b) c < 4
(c) c > 4
Step-by-step explanation:
(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:
3x^2 -5x = 2x^2 -x -c
x^2 -4x +c = 0 . . . . . . . subtract the right side expression
The discriminant is
d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.
The system will have exactly one solution when d = 0.
16 -4c = 0
4 -c = 0
__
(b) There will be more than one real solution when d > 0
4 -c > 0
c < 4 . . . . two real solutions
__
(c) There will be no real solutions when d < 0.
4 -c < 0
c > 4 . . . . no real solutions
_____
Additional comment
The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.
Amelia purchased a new mattress when it was on sale. The sale price was 25% less than the regular price. If the sale price was $481, what was the original price? (Round your answer to the nearest dollar).
Answer:
$641
Step-by-step explanation:
Let $p be the original price.
[tex](1 - 25\%)p = 481 \\ \frac{75}{100} p = 481 \\ p = 641[/tex]
p = 641 (cor. to the nearest dollar)
∴ The original price was $641.
Emily made fruit punch for a party. The list shows the fruit juices she had
available. Emily picked 3 of the juices and used the entire amount of all
3 to make 4.65 liters of punch.
0.25 liters of grape juice
1.05 liters of cranberry juic
1.15 liters of apple juice
3.35 liters of orange juice
1.00 liters of grapefruit juic
Which 3 juices did Emily use if she made 4.65 liters of punch?
A. Grape, apple, and orange
B. Grape, apple, and grapefruit
C. Cranberry, apple, and orange
D. Grape, cranberry, and orange
Answer:
D: grape, cranberry, and orange
Step-by-step explanation:
jamal wants to draw a right triangle and label it JKL
Answer:
Calm down jamal don't go pulling out the nine
Step-by-step explanation:
this is just a joke
I Need help with this
Answer:
it would be choice B
Step-by-step explanation:
the frequencies in the chart are 4,5,9,8, and 4 so you look at which graph's bars go up to those numbers
Use the graph below to find the indicated function Value. y=f(x); f(4)
The value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The graph of the function is shown in the picture.
From the graph the value of f(4) can be evaluated as follows:
y = f(x)
Plug x = 4
y = f(4)
From the graph:
Draw a vertical line from point 3 on the x-axis and when it cuts the curve draw a horizontal line when the line cuts the y-axis note the point.
y = f(4) = 3
Thus, the value of f(4) is 3 if the graph of the function is shown in the picture, the answer is 3.
Learn more about the function here:
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Please help I'll mark you as brainiest
Answer: A is the answer good luck :)
what is the smallest subset of the number -8,546,999 belong to
Answer:
its 4
Step-by-step explanation:
whats the answer for this
Answer:
1 should be 90 degrees because if u look at the angle its a right angle
2 its an obtuse angle so those angles are more than 90 degrees but less than 180 so its 150 degrees
18 a exactement 6 diviseurs
Answer:
18 is divisible by 6
Step-by-step explanation:
Because 6 can divide 18, 3 times
Vrai
i put 15 i think it’s wrongs please help
Answer:
[tex] \sqrt{( {0 - 12}) {}^{2} + (1 - 10) {}^{2} } \\ = \sqrt{0 + 81} \\ = \sqrt{81} \\ = 9[/tex]
[tex] \huge\mathfrak\pink{A} \huge\mathfrak\purple{n} \huge\mathfrak\blue{s} \huge\mathfrak\red{w} \huge\mathfrak\green{e} \huge\mathfrak\orange{r}\ [/tex]
9 is the correct answer
Jason drew a triangle to explain the Triangle Sum Theorem and labeled the angles 1, 2, and 3
He tore each angle off the triangle so he could move the three angles around.
What should Jason do next to explain the Triangle Sum Theorem?
Jason should line up the angles next to each other as adjacent angles to show that the 3 angles together form a straight angle.
Jason should create a new triangle by moving the angles closer together to show that the 3 angles can create other triangles.
Jason should fold each angle in half to show each angle with one half of the measure it had in the triangle.
Jason should stack the angles on top of each other to show that the 3 angles have the same measures.
Answer:
A
Step-by-step explanation:
Well B is strange. You might get them to make one complementary angle, but that has nothing to do with the Triangle sum theorem.
C is true. He is getting similar triangles, but that does not prove the Triangle sum theorem. So -- don't choose C
D is just taking up space so you get 4 choices.
The answer should be A but the problem is the tips of the angles should all come to the same place. I think it does mean A, but it is a bit awkwardly worded.
Answer:A
Step-by-step explanation:
smart person above
HELP PLEASE !!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply .
What is the perimeter of the track, in meters? Use tt 3.16 and round to the nearest hundredth of a meter
Answer:
The perimeter of the track is of 317 meters.
Step-by-step explanation:
Perimeter:
The perimeter of a figure is the sum of all its dimensions.
In this question:
The track is composed by two straights of 80m, and two half circles with a diameter of 50m.
Perimeter of a circle:
The perimeter of a circle with diameter d is of:
[tex]P = \pi d[/tex]
Track:
Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So
[tex]P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317[/tex]
The perimeter of the track is of 317 meters.
Multiply.
−3.6(−5.4)(3)
Answer:
-3.6(-5.4)(3)
=58.32
hope it helps.
Answer:
it's answer is 58.32
hope it is helpful to you
What is the prime factorization of 48?
O A. 2x3x8
OB. 2x2x3 x4
OC. 2x2x2x3
OD. 2x2x2x2x3
O E. 2x2x2x3 x3
Answer:
D
Step-by-step explanation:
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 3 = 48
A cylinder has a radius of 5 m and a height of 11 m. Identify the volume of the cylinder to the nearest tenth.
Answer:
86,405 cm³
Step-by-step explanation:
V = cross-sectional area × height = πr²h = 3.142 × 5² × 1100cm
= 86,405 cm³
Answer:
863.9 m³
Step-by-step explanation:
Cylinder volume is V = πr²h. Here the height, h, is 11 m and the radius, r, is 5 m. Thus we have:
V = π(5 m)²(11 m), or
V = π(275) m³, or approximately 863.9 m³
Pls answer its khan academy I really need it
Answer:
Step-by-step explanation:
Note the f(0) = 9
and f(1) = 15
Since, f(x) = abˣ substituting for x, we get:
9 = f(0) = a . b⁰ = a
⇒ a = 9
Now, f(1) = 15
⇒ 15 = a . b¹
⇒ 15 = 9 . b
⇒ b = 15/19
Therefore,
f (r) = 9. (5/3)
Hence, the answer.
A gift box has the dimensions shown below. 16 in x11 in. What is the perimeter of the box in feet
A. 4 feet 1/2 inch
B. 4 feet 6 inches
C. 54 inches
D. 4 feet
Here is my question.
Answer:
I'm sorry no one answered this in time. I know it sucks. Have great day! Owa Owa!
Step-by-step explanation:
I am STRESSED. Please answer the following questions below that are HIGHLIGHTED.
Answer:
1.5 tons and 256 pounds OR 1 ton and 1256 pounds
Step-by-step explanation:
Estimate:
8 3/5 + 8 4/9
Answer:
17
Step-by-step explanation:
You know that 8+8=16, and adding the fractions would result in something close to 17.
Please answer it’s due at 3
Answer:
1134mm
Step-by-step explanation:
Add (-2x + 4) + (4x + 6)
A) 2x + 10
B 6x + 10
C) 2x - 2
D) 6x-2
Answer:
A. 2x + 10
Step-by-step explanation:
solve for k. a/b=b/a+1k
Answer:
[tex]\frac{(a+b)(a-b)}{ab}[/tex]
Step-by-step explanation:
[tex]\frac{a}{b}=\frac{b}{a} +k[/tex]
[tex]k=\frac{a}{b}-\frac{b}{a}=\frac{a^2-b^2}{ab}=\frac{(a+b)(a-b)}{ab}[/tex]
PLS HELP DUE SOON!!!
Answer:
its both.
Step-by-step explanation:
RNA and DNA are made up of nucleotide(s).
Answer: Both DNA and RNA
Step-by-step explanation:
Simplfy completely (6x − 2)(6x + 2). Show all work for full credit.
Answer:
there you go. hope this helps out
Answer:
36[tex]x^{2}[/tex] - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36[tex]x^{2}[/tex] - 12x + 12x - 4
= 36[tex]x^{2}[/tex] - 4
Jana wants to buy a shirt at the store. The shirt is normally $24, but today it is on sale for 15% off.
How much will she save?
Answer:
She will save $3.60
Step-by-step explanation:
10% of 24= 2.4
5% of 24 = 1.2
2.4 + 1.2= 3.6
This means she is saving $3.60 because 15% of $24 is $3.60! :)
Jana save $3.6 to buy a shirt.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The shirt is normally $24, but today it is on sale for 15% off.
Now,
Since, The shirt is normally $24, but today it is on sale for 15% off.
Hence, The save money = 15% of 24
= 15/100 × 24
= $3.6
Thus, She save $3.6 on the shirt.
Learn more about the percent visit:
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In the finger above what is m
Answer:
ABE is 180-64.5= 115.5
EBE is 90-64.5= 25.5
need help w this thanks
Answer:
a
Step-by-step explanation:
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has ol and the test predicts it?
A) 0.09
B) 0.11
C) 0.36
D) 0.44