Answer:
We conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Step-by-step explanation:
Given the equation
49x² - 28x + 4 = 0
comparing with the quadratic equation ax² + bx + c = 0 for x, where a ≠ 0,
here
a = 49, b = -28, c = 4
Determining the discriminant b²-4ac
b²-4ac = (-28)² - 4(49)(4)
= 784 - 784
= 0
It is clear that the discriminant b²-4ac is equal to zero.
i.e.
b²-4ac = 0
We know that if the discriminant b²-4ac = 0, then the quadratic equation has one real root.
Therefore, we conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
What is the amount of tax on a pair of boxing
gloves that costs $68.40, if the tax rate is 9%?
Answer:
68.40/100 X 109 = 74.56
74.56-68.40 = 6.16
total tax = $6.16
There are 3 blue marbles, 4 red marbles, and 5 yellow marbles in a bag. Julie pulls one marble out at a time and does not replace it. What is the probability that the first two marbles she pulls from the bag are blue?
Answer:
1/22
Step-by-step explanation:
P (blue, blue) = 3 x 2 = 6 or 1/22 simplified
12 11 132
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
3 and 3/4 + 1 and 1/4
Explanations on how I can get my answer please?
Answer:
The answer for this question is 5
-7 - 12 = - 7х + 3(-4 - x)
Answer: x = -1.8
Step-by-step explanation:
-7 - 12 = -7x + 3 (-4 - x)
-7x + 3 (-4 - x) = -7 - 12
P.S I switched the order cuz I find it easier to solve this way.
-7x + 3 (-4 - x) = -7 - 12
Distribute
-7x - 12 - 3x = - 7 + 13
Add 12 to both sides
-7x - 3x = -7 + 13 + 12
Combine like terms
-10x = 18
Divide both sides by -10
x = -1.8
3.(02.07)
Two similar triangles are shown below:
a
5
6
2.5
3
Which two sets of angles are corresponding angles? (4 points)
Za and Zd; Zb and 20
Za and Zc; Zb and zd
Za and Ze; Zb and zd
d
Za and Ze; Zb and ZC
Answer A
Step-by-step explanation:
The solution is, <a and <d; <b and <c, these two sets of angles are corresponding angles. of the triangles. So, correct answer is A. <a and <d; <b and <c.
Here, we have,
When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.
The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:
<a and <d; <b and <c.
Both set of angles are congruent to each other. In other words, they are equal.
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Simplify the radical image (1)
Write the following logarithmic expression as a single logarithm with coefficient 1. log9 − 2logk log (StartFraction 9 Over k squared EndFraction) log (9 k squared) log (StartFraction 81 Over k squared EndFraction) log (StartFraction 9 Over 2 k EndFraction)
Answer:
The answer is A.log(9/k^2)
Answer:
A)
Step-by-step explanation:
if the original quantity is 14 in the new quantity is 24 estimate the percent change
Answer:
[tex]\% \: change = \frac{(24 - 14)}{14} \times 100 \\ = \frac{10 \times 100}{14} \\ = \frac{1000}{14} \\ = 71.43\%[/tex]
Percentage change is 71.43%.Write 5 pounds for $2.49 as a unit rate. Round to the nearest hundredth
Answer:
$0.50/pounds
Step-by-step explanation:
5 pounds= 2.49
1 pound = $2.29 ÷ 5 = $0.50 (nearest hundredth)
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?
The number of paper newsletters the school needed is given by the equation A = 149.5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of paper newsletters the school needed be A
Now , the equation will be
The percentage of parents who prefers newsletters electronically = 77 %
So , percentage of parents who prefers paper newsletters = 100 % - 77 %
The percentage of parents who prefers paper newsletters = 23 %
The total number of parents = 650
So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents
Substituting the values in the equation , we get
The number of paper newsletters the school A = ( 23/100 ) x 650
The number of paper newsletters the school A = 149.5
Therefore , the value of A is 149.5
Hence , the equation is A = 149.5
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What is probability of selecting a VOWEL in the word MATHEMATICS? Simplify your answer? I WILL MARK BRAINLIST FOR THIS!
Answer:
4/11
Step-by-step explanation:
There are 4 vowels: A, E, A, I
There are 11 characters total, so the probability is 4/11, which is simplified.
A linear function has a y-intercept of -12 and a slooe of 3/2. What is the equation of the line?
f (x) = -x2 + 8x - 11
h(x) = -x-7
find f (9) + (-14)
Help me ASAP I’ll mark you as a BL Question attached below
Answer:
I think it might be A if not then its be
Step-by-step explanation:
sorry if its not right
A rectangle is formed by the intersection of the lines x = −1, y = −1, x = 5
and y = 3.
What is the perimeter and area of the rectangle?
Answer:
X angle
Step-by-step explanation:
Find the sum and express it in simplest form (-y^3-y+1)+(-7y^3-6y-5)
Answer:
[tex]( - {y}^{3} - y + 1) + ( - 7 {y}^{3} - 6y - 5) \\ = ( - 1 - 7) {y}^{3} - (1 + 6)y + (1 - 5) \\ = - 8 {y}^{3} - 7y - 4[/tex]
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 4 large boxes and 8 small boxes has a total weight of 105 kilograms. Delivery of 2 large boxes and 3 small boxes has a total weight of 46 kilograms. How much does each type of box weigh?
Answer:
x = 13.25 kg
y = 6.5 kg
Step-by-step explanation:
Let
Large box = x
Small box = y
4x + 8y = 105 (1)
2x + 3y = 46 (2)
(Multiply (2) by 2 to eliminate x
2x + 3y = 46 (2) ×2
4x + 6y = 92 (3)
4x + 8y = 105 (1)
Subtract (3) from (1)
8y - 6y = 105 - 92
2y = 13
y = 13/2
y = 6.5kg
Substitute y = 6.5 into (2)
2x + 3y = 46 (2)
2x + 3(6.5) = 46
2x + 19.5 = 46
2x = 46 - 19.5
2x = 26.5
x = 26.5/2
x = 13.25 kg
pls help out, what is the slope?
Answer:
Slope is 1 unit
I think so as the line is accurately tangential to the circumcircle by diagonal of a unit graph and hence diameter coincides with diagonal.
Please guys help me I need help to get an A+
The sum of my digits is equal to 5
2. Draw a line 1. Draw a perpendicular to lat any point on /
is
not required)
if f(x)=3x-2 find f-1 (13)
Answer:
Firstly
f(x)=3x-2=y then
Interchanging x and y we get
x=3y-2
x+2=3y
y=(x+2)/3
f-1(x)=(x+2)/3
f-1(13)=(13+2)/3
f-1(13)=5
A function is defined as a relation between a set of inputs having one output each.
The inverse of function f(x) = 3x - 2 is:
y = (x+2)/3
What is a function?A function is defined as a relation between a set of inputs having one output each.
The inputs are called the domain of the function.
The outputs are called the range of the function.
We have,
f(x) = 3x - 2
The inverse of f(x):
step 1:
Put f(x) = y
y = 3x - 2
step 2:
switch x and y
x = 3y - 2
step 3:
solve for y
x = 3y - 2
x + 2 = 3y
y = (x+2)/3
Thus,
The inverse of f(x) = 3x - 2 is y = (x+2)/3
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Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2
Answer:
Step-by-step explanation:
No matter what the value of y is, x = 2. That's exactly what the answer is.
The line is vertical and the equation is x = 2.
please help me please will give brainliest to anyone
Answer:
D
Step-by-step explanation:
Percent = Part/Whole x 100%
Percent = 1/24 x 100%
Percent = 4% Rounded
Need help ASAP both a and b please.
Answer:
A) In 4 hours the tempature would both be the same
B) The tempature then would be 3 degreees Fahrenheit
Step-by-step explanation:
SO for the first step just make a list
In my format
x (hour): Coldspit and Frostberg in temperature
1st hour: -4.5 and 15
2nd hour: -2 and 11
3rd hour: 0.5 and 7
4th hour: 3 and 3
Answer:
after 52/3 hours
temparature will be at -151/3
Step-by-step explanation:
y = -2.5x - 7
y = -4x + 19
-2.5x - 7 = -4x + 19
4x - 2.5x = 19 + 7
1.5x = 26
1.5x = 26
3/2x = 26/1
2/3 x 3/2x = 26/1 x 2/3
x = 52/3
y = -4x + 19
y = -4(52/3) + 19
y = -208/3 + 19
y = -208/3 + 19/1
y = -208/3 + 57/3
y = -151/3
how to slove liner equation?
for example: 3×−2=−7
Answer:
x = -5/3
Step-by-step explanation:
3x - 2 = -7
Add 2 to both sides
3x - 2 + 2 = -7 +2
3x = -5
Divide both sides by 3
3x/3 = -5/3
x = -5/3
Please help me thanks please
Answer: 2827 cm squared is the answer
Name the property. (6x4) x3 = 6x(4x3)
Answer:
Associative
Step-by-step explanation:
When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.
suppose that when your fried was born, your friends parents deposited $9000 in qn account playing 3.2% interest compounded quarterly. What will the account balance be after 13 years?
Answer:
$9000 x 3.2%/Q= $288/Q
13 years = 13*4 Q= 52 Q
=> $288 x 25 Q = $14,976
The account balance be after 13 years is : $ 14,976 + $9,000 = $23,976
Step-by-step explanation: