The factors of 4x^2 + 23x − 6 are (4x-1)and (x+6).
We have given that,
[tex]4x^2 + 23x - 6[/tex]
We have to determine the factors of given expression
What is the quadratic formula?[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \sqrt{23^2-4\cdot \:4\left(-6\right)}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-23\pm \:25}{2\cdot \:4}[/tex]
[tex]x_1=\frac{-23+25}{2\cdot \:4},\:x_2=\frac{-23-25}{2\cdot \:4}[/tex]
[tex]=\frac{-23+25}{2\cdot \:4}[/tex]
[tex]=\frac{2}{2\cdot \:4}[/tex]
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4},\:x=-6[/tex]
Therefore the factors are(4x-1)and (x+6)
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a triangle with side lengths of 32, 60 and 68 is a right triangle?
true or false
The triangle with side lengths of 32, 60, and 68 is a right triangle is true.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We can use the Pythagorean theorem to check if a triangle with side lengths of 32, 60, and 68 is a right triangle:
a² + b² = c²
where a, b, and c are the side lengths of the triangle and c is the hypotenuse.
Plugging in the values, we get:
32² + 60² = 68²
Simplifying:
1024 + 3600 = 4624
So, the equation holds true, which means that the triangle with side lengths of 32, 60, and 68 is a right triangle.
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Which of the following statements is true?
Question 9 options:
0 < -3.2
-5.9 > 1.2
-2.8 < -7.4
-1.9 > -6.0
A deli sells a sandwich spread for $6.40 per pound how much do you have to pay for 24 ounces of the spread?
it takes trevon ten hours to clean an attic. cody can clean the same attoc in seven hours.find how long it would take them if they worked together.
If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, it would take them approximately 4.11 hours to clean the attic if they worked together.
Explanation:If Trevon takes 10 hours to clean the attic and Cody takes 7 hours to clean the same attic, we can find the rates at which they clean per hour. Trevon cleans at a rate of 1/10 of the attic per hour, and Cody cleans at a rate of 1/7 of the attic per hour. To find out how long it would take them if they worked together, we add their rates: 1/10 + 1/7 = 17/70. This means that together, they can clean 17/70 of the attic per hour.
To find out how long it would take for them to clean the whole attic, we divide 1 (representing the full attic) by their combined rate: 1 / (17/70) = 70/17 = 4.11 hours (rounded to the nearest hundredth).
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how to find the density of a unknown liquid, the volume is 12.0mL and the mass is 6g.
To calculate the density of an unknown liquid given its mass of 6g and volume of 12.0mL, divide the mass by the volume, resulting in a density of 0.5 g/mL.
Explanation:To find the density of an unknown liquid with a volume of 12.0mL and a mass of 6g, you need to use the formula for density which is density = mass/volume. Given the mass is 6g and the volume is 12.0mL, you substitute these values into the formula to calculate the density.
Therefore, the calculation would be: density = 6g / 12.0mL = 0.5 g/mL.
This states that the density of the unknown liquid is 0.5 g/mL, which means for every milliliter of this liquid, it weighs 0.5 grams. Understanding the density of a substance can be crucial in identifying it since density is a characteristic property.
how would you simplify -2+3i/-3-2i (im doing conjugates in math right now)
To simplify -2+3i/-3-2i, multiply both the numerator and denominator by the conjugate of the denominator (-3+2i).
Explanation:To simplify -2+3i/-3-2i, we can multiply both the numerator and denominator by the conjugate of the denominator, which is -3+2i. This will help us eliminate the imaginary terms in the denominator.
Multiplying the numerator and denominator, we get:
(-2+3i)(-3+2i) / (-3-2i)(-3+2i)
Expanding and simplifying:
(6i+4i^2-9+6i) / (9+4)
Combining like terms:
(-9+12i+4i^2) / 13
Since i^2 is equal to -1, the expression becomes:
(-9+12i-4) / 13
Combining like terms:
(-13+12i) / 13
Therefore, the simplified form of -2+3i/-3-2i is (-13+12i) / 13.
Solve the equation. 3.1x + 4.6 = 10.8
A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
In the portion of the shuffleboard court shown above, . What additional piece of information do you need to show that using the SSS similarity theorem?
The additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.
What is the similarity theorem?The fundamental theorem of similarity states that a line segment divides two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.
In this case, the additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.
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The width of a rectangle is 8 units less than the length. If the area is 153 square units, then find the dimensions of the rectangle.
solve for y 7y - 6y - 10 = 13
7y-6y-10=13
7y-6y = y
y-10=13
add 10 to both sides
y = 23
If 2/3=x/12 , what is the value of x?
Answer:
the answers 8,just cross multiple and divide.
Step-by-step explanation:
Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$ is divided by 7?
Answer:
5 (mod 7)
Step-by-step explanation:
Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? 3/4, 4/7, 3/7, 7/3
Answer:
Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? A. 3/7 B.4/7 C. 7/3 D. 3/4
Step-by-step explanation:
A. 3/7 is right
What is the best name for angle Y?
An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?
The low temperature in Anchorage, Alaska, one day was -9 degrees F. On the same day, the low temperature in Flagstaff, Arizona, was 26 degrees F. Write an inequlity to compare the temperatures.Explainthe meaning of the inequality.
Consider the following piecewise-defined function, find f(-4)
f(x)=x^2-5,x<3
2x+5,x>3
What is 42.2% of 635.4 explain how you found your answer
The weight of a sack of potatoes was more than 11 pounds. Shana wants to write an inequality for the weight of the sack of potatoes. What constant should she use in the inequality?
Answer: The constant that Shana should use in the inequality is 11.
Step-by-step explanation: Given that the weight of a sack of potatoes was more than 11 pounds and she wants to write an inequality for the weight of the sack of potatoes.
We are to find the constant that she should use in the inequality.
Let x pounds represents the weight of the sack of potatoes.
Then, according to the given information, the inequality can be written as
[tex]x>11.[/tex]
Thus, the required constant that Shana should use in the inequality is 11.
What is the answer to the question
Solve.
(3x)^2 - 7y^2 when x = 3 and y = 2
NEED HELP FAST!
(08.02 MC)
Which of the following graphs shows a pair of lines that represents the equations with the solution (2, –5)? (1 point)
Write two decimal that are equivalent to2.50
Write the decimal number in standard form
Six and five hundred and sixteen ten-thousandths
The decimal number 'six and five hundred and sixteen ten-thousandths' in standard form is 6.0516, which combines the whole number six with the fractional part written as a decimal. Scientific notation is not necessary here since the number is already reasonably simple.
Explanation:To express the number six and five hundred and sixteen ten-thousandths in standard form, you start by identifying the whole number and the fractional part. The whole number is six, which is straightforward. The fractional part is five hundred and sixteen ten-thousandths, which refers to 516 over 10000. In decimal form, this is written as 0.0516. Combining the whole number with the fractional part gives us the decimal 6.0516. This is the number in standard notation.
Scientific notation simplifies the expression of very large or very small numbers. For example, a large number like 306,000,000 can be written as 3.06 × 108, and a small number like 0.000028 can be expressed as 2.8 × 10-5. However, the number 6.0516 is already concise enough that converting it to scientific notation isn't necessary.
Find the product of 6, m and 5. Then, identify the coefficient.
44 points
The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today?
he makes 150 plus 15% of what is sold
so 150 + 0.15x has to equal at least 450
so the correct answer is B to find out the total he as to sell
You do Time4Learning to?
what is 1/4 of 3200?
h(x)=|x+2| Find h(-10)
Jacob walked for x miles and then cycled for y miles between his home and the library. the number of miles Jacob cycled was 3 miles more than twice the number of miles he walked. the total number of miles Jacob walked and cycled was 6 miles. how many miles did Jacob walk and cylcle?
Walk: 1
Bike: 5
y=2x+3
x+2x+3=6
3x+3=6
3x=3
x=1
6-1=5