Answer: C
Step-by-step explanation:
If you use the quadratic equation you will find that there are two possible answers to this problem
The explanation shows that the equation has exactly two real roots. so the correct option is C.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that Julie is solving the equation x² + 5x+6= 0 and notices that the discriminant b²- 4ac has a value of 1.
x² + 5x+6= 0
The discriminant = b²- 4ac = 1
It will be Real and distinct because the discriminant is positive.
There are two roots of a quadratic equations always if the discriminant is positive. We say that the quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
Hence, This tells her that the equation has exactly two real roots. so the correct option is C.
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A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?
Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)
Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]
Solve for j:
[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
Given that cot A = 16/63 and that angle A is in Quadrant I, find the exact value of cscA in simplest radical form using a rational denominator.
Answer:
Below in bold.
Step-by-step explanation:
cot = adjacent side / opposite side = 16/63
So the hypotenuse = √(16^2 + 63^2)
= √4225
= 65.
So csc A = hypotenuse /opposite side
= 65/63
PLEASE HELP ATTACHED BELOW
find out the arc length of DG and the measure of angle DHG
Answer:
is it timed, because i need like 20 mins to answer this question.
Step-by-step explanation:
Drag each tile to the correct box.
Match each term in the credit card statement to its description
the amount owed by the consumer
before the current billing cycle
the amount available for the
consumer to spend
the amount the consumer currently
owes
available credit
previous balance
new balance
Answer:
Available credit :- the amount the consumer currently owes.
Previous balance :- the amount owed by the consumer before the current billing cycle
new balance :- the amount available for the consumer to spend.
Hope this answer is right!!
Answer:
AVAILABLE CREDIT- the amount the consumer currently owes.
PREVIOUS BALANCE- the amount owed by the consumer before the current billing cycle
NEW BALANCE-the amount available for the consumer to spend.
Step-by-step explanation: PLATO
HELP HELP HELP TODAY IS THE DEADLINE
C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.
Simultaneous EQUATION 3x+2y=16 2x+y=9 PLS HELP I need answer quickly
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 16 → (1)
2x + y = 9 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 4x - 2y = - 18 → (3)
Add (1) and (3) term by term to eliminate y
- x = - 2 ( multiply both sides by - 1 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
3(2) + 2y = 16
6 + 2y = 16 ( subtract 6 from both sides )
2y = 10 ( divide both sides by 2 )_
y = 5
solution is (2, 5 )
Help me pls i'm struggling need help fast!
Find all n in N that satisfy (2^n)-1 divisible by 9
Answer:
u can use the hit and trial method for this
draw the image of triangle ABC after a translation along vector v
(just saying the points' ordered pairs is fine :) )
Answer:
[tex]A'=(1, 9), \\B'=(6,9),\\C'=(1,4)[/tex]
Step-by-step explanation:
Notice how [tex]\vec{v}[/tex] has a tail at (8,4) and a head at (2,2), which means the x-coordinate is translated 6 units to the left and the y-coordinate is translated 2 units down.
If [tex]\triangle ABC[/tex] were to be translated along this vector, its vertices should follow the vector.
Therefore, the new points of [tex]\triangle ABC[/tex] will be 6 units to the left of their initial x-coordinate and 2 units below their initial y-coordinate.
[tex]A(7, 11)\implies A'(1, 9), \\B(12, 11)\implies B'(6, 9), \\C(7, 6)\implies C'(1, 4)[/tex]
The triangles below are similar. Find the measure of ∠B and ∠F
Answer:
∠ B = 45°, ∠ F = 22°
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent, so
∠ B = ∠ E = 45°
∠ F = ∠ C = 22°
A piece of wood is 21 m long. How much piece of wood 07m 'long wood can be cut from it?
Equation = 21/7=?
Revision: 7 x ? = 21
7+7+7 = 21
7 x 3 = 21
21/7 = 3
Answer = 3
Here are some cards with angles written on them.
45° ||165°
5°
90° 102°
102°|| 31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?
Answer:
below
Step-by-step explanation:
three cards angles are greater than 100°
total cards = 8
probability = 3/8
Marcus earns $13.00 per hour by walking the neighbor's dogs. He walked the dogs for
four hours. How much money will he have at the end of the day?
Answer:
$52.00
Step-by-step explanation:
if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.
Answer:
52
Step-by-step explanation:
Multiply 13 and 4 to get $52.
Leo will create a mural consisting of five
vertical stripes of different colors. If Leo has
eight different colors from which to choose,
and the order of the stripes matter, in how
many ways can he complete his mural?
Answer:
he got 8 different colors to choose from for the first stripe. he has to choose from 7 for the second (one choose less bc he alrdy took one color)
that alone makes 56 different ways for just two stripes.
he will use 5 stripes in total, so the calculation is:
8*7*6*5*4 = 6720
(8!-3! would also work with the calculator 8! uses all the naturalnumbersfrom 1 to 8 and multiplies them)
A bag contains 3 red marbles, 4 blue marbles and 7 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that both marbles drawn will be red?
Answer: 0.214
Step-by-step explanation:
There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214
franklin races bikes. in his city there are 4 lengths of race tracks. The chart shows the race tracks and each tracks length in miles
A. 1/4
B. 3/2
C. 1 3/4
D. 4/4
Franklin races 3 laps in the same lane. the total distance he raced is more than 4 1/2miles
which track does franklin race on?
Answer:
Step-by-step explanation:
1/4
Tilly and her mom made a rectangular dog run. They used 26 one-yard long pieces of fencing. They put 6 pieces of fencing on one side. How many pieces did they put on the next side?
What is the measure of an angle if it is fourteen times its own complement?
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
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Find the distance between the points (-5, -10) and (2, 4).
Answer:
15.65 units
Step-by-step explanation:
Given data
x1=-5
y1=-10
x2=2
y2=4
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-(-5))²+(4-(-10))²)
d=√(2+5)²+(4+10)²
d=√7²+14²
d=√49+196
d=√245
d=15.65 units
Hence the distance between the points is 15.65 units
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?
Answer:
3 < x < 11
Step-by-step explanation:
triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side
if 'x' is the third side then:
x + 4 > 7
7 + 4 > x
therefore, 'x' must be greater than 3 and less than 11
The value of the third side should be < 11 so, it cannot be 11, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The two sides of a triangle are 4 and 7
According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.
The sum of the sides is 4+7 = 11
Let the third side be x
then,
x < 11
The x cannot be 11.
The missing options are
A. 4
B. 7
C. 11
D. 5
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If j + m=5, what is the value of 50j + m)?
Answer:250
Step-by-step explanation:
j+m=5
50(j+m)=50x5=250
Answer:
If you mean 5(j + m) and j + m = 5 then you answer is 6j + 6m = 5.
If you mean 50j + m and j + m = 5 then there is no solution.
Step-by-step explanation:
j + m = 5
5(j + m)
5(j + m) + j + m = 5
5j + 5m + j + m
6j + 6m = 5
Which expressions are equivalent to the on below select all that apply 9x
Answer:
B and D
Step-by-step explanation:
Multiplying exponents just adds them.
Answer:
B + D
Step-by-step explanation:
Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each labe
Answer:
3cm
Step-by-step explanation:
A parallelogram is quadrilateral that has two pairs of parallel sides. The opposite sides equal in length
Area of a parallelogram = base x height
18cm² = 6cm x height
height = 18cm² / 6cm = 3cm
Which of the following is equal to √16x4?
A. 32 B. 64 C. √16/4 D. √16•√4
Given :-
√16 × 4 .To Find :-
The value of the expression .Answer :-
We know that , if ,
=> √{ab}
It can be written as ,
=> √a × √b ,
Therefore ,
=> √{ 16 × 4 }
=> √16 × √4
Option D is correct !
For which equations does the fraction 13 make the equation true? A 6x __=3 B 6x__=2 C 7x__=7/21 D 8x__=3 1/3
Answer:
B. 6 x 1/3 = 2
Step-by-step explanation:
2 is 1/3 of 6
So multiplying 6/1 (6) bu 1/3 :
6/1 * 1/3 = 6 / 3 = 2
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Factor the following expression.
x4 + x2 – 20
Answer:
2(2x+x-10)
Step-by-step explanation:
The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.
Answer: (−2)(+2)(/2+5)
what is the anser for 194*33333
(the answer is) = 6466602
Consider the equation below.
2(n + 4) = 8–6(n-4)
Solve the equation for n.
A
-3
B
D
16
Answer:
N=3
Explanation:
Look at image below