Instructions: Factor the polynomial expression.7x²-13x +6Answer:

Answers

Answer 1

Explanation

Given the polynomial

[tex]7x^2-13x+6[/tex]

We can find its factors below.

[tex]\begin{gathered} 7x^2-13x+6 \\ =7x^2-7x-6x+6 \\ =7x(x-1)-6(x-1) \\ =(7x-6)(x-1) \end{gathered}[/tex]

Answer: (7x-6) and (x-1)


Related Questions

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The value of sin Ф will be [tex]2\sqrt{6} /5[/tex] .

What are trigonometric function?

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively employed in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more. The term "Circular" is another name for trigonometric functions. A triangle's angle functions can be used to define functions. It implies that these trig functions can be used to determine the relationship between a triangle's angles and sides. There are several trigonometric identities and formulas that show the relationship between the functions and aid in determining the triangle's angles. Here is an in-depth explanation of all these trigonometric functions and their formulas.

sin²Ф +  cos²Ф  = 1

sinФ   = [tex]\sqrt{1 - 1/25}[/tex]

= [tex]2\sqrt{6} /5[/tex]

To know more about trigonometric function, visit:

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To find the equation of a regression line, ŷ = ax + b, you need these formulas:Sya=rstb=ỹ alA data set has an r-value of 0.553. If the standard deviation of the x-coordinates is 3.996, and the standard deviation of the y-coordinates is 6.203,what is the slope of the line to three decimal places?A. 0.858B. 1.165C. 2.807D. 0.356

Answers

Solution

- The solution steps are given below:

[tex]\begin{gathered} r=0.553 \\ S_x=3.996 \\ S_y=6.203 \\ \\ \text{ We have been given that:} \\ a=r\frac{S_y}{S_x} \\ \\ \text{ Since }a\text{ is the slope, we have that:} \\ a=0.553\times\frac{6.203}{3.996} \\ \\ a=0.8584231...\approx0.858 \end{gathered}[/tex]

Final Answer

The slope is 0.858

Answer:

.0858

Step-by-step explanation:

Find the distance between each pair of points using the distance formula - round to the nearest 10th

Answers

Explanation: Below we have the distance formula

[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step 1: Now let's identify the values of the variable as follows

Step 2: Now we can substitute the values on the distance formula as follows

[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ d=\sqrt[]{(-4_{}-(-2))^2+(4_{}-0_{})^2} \\ d=\sqrt[]{(-4_{}+2)^2+(4_{}_{})^2} \\ d=\sqrt[]{(-2)^2+16^{}} \\ d=\sqrt[]{4^{}+16} \\ d=\sqrt[]{20} \\ d=4.472135955 \\ d\cong4.5 \end{gathered}[/tex]

Final answer: So the distance between the pair of points rounded to the nearest tenth is 4.5

An onion soup recipe calls for 3 2/3 cups of chopped onions Katrina has already chopped 1 1/3 cups of onions she wants to know how many more cups she needs to chop what X be the number of cups of onions Katrina still needs to chop write an equation to describe the situation

Answers

To determine the number of cups she still needs to chop we need to subtract the amount she already chopped to the amount she needs, then we have the equation:

[tex]x=3\frac{2}{3}-1\frac{1}{3}[/tex]

This can be written as:

[tex]x+1\frac{1}{3}=3\frac{2}{3}[/tex]

Now, we solve it:

[tex]\begin{gathered} x=3\frac{2}{3}-1\frac{1}{3} \\ x=\frac{11}{3}-\frac{4}{3} \\ x=\frac{7}{3} \end{gathered}[/tex]

Therefore she needs to chop 7/3 more cups of onions.

5(1+s)=9s+6
----------------

Answers

Answer:

5(1+s) = -9s +6

Step-by-step explanation:

Please help me resolve this, I’m not able Part (a)

Answers

To determine the volume of a cylinder you can use the following formula:

[tex]V=\pi r^2h,[/tex]

where h is the height, and r is the radius of the cylinder.

Substituting:

[tex]\begin{gathered} r=6ft, \\ h=9ft \end{gathered}[/tex]

in the formula, you get:

[tex]V=\pi(6ft)^2(9ft).[/tex]

Finally, you get:

[tex]V=324\pi ft^3.[/tex]Answer: [tex]324\pi ft^3.[/tex]

a chemist has 30% and 60% Solutions of acid available how many liters of each solution should be mixed to obtain 120 liters of 34% acid solution

Answers

Answer:

104 litres of 30% solution and 16 litres of 60% solution.

Explanation:

Let us call x the litres of 30% solution and y the litres of 60% solution.

Now, we know that the end result is 120 litres of a solution; therefore, we have

[tex]x+y=120[/tex]

Morover, we are also

how does you solve Vertices: (0,7), (0,-7) Co vertices: (2,0), (-2,0)

Answers

As according to given conditions let us draw these 4 points on the graph:

So the center is (0,0)

So the equation is:

[tex]\frac{(x-0)^2}{4}+\frac{(y-0)^2}{49}=1[/tex]

Which set of polar coordinates names the same point as (-5.5) ? ZT O O A. (5, O B. (5:59) O 5 57 4 377 O c. -5 O D. 7T 5. )

Answers

Recall that the following points represent the same point as the point (x,θ)

[tex]\begin{gathered} (-x,\theta+\pi), \\ (-x,\theta-\pi), \\ (x,\theta+2n\pi)\text{.} \end{gathered}[/tex]

Now, notice that:

[tex]\frac{5\pi}{4}=\frac{4\pi}{4}+\frac{\pi}{4}=\pi+\frac{\pi}{4}\text{.}[/tex]

Therefore, the point:

[tex](5,\frac{5\pi}{4})[/tex]

represent the same point as the point

[tex](-5,\frac{\pi}{4})\text{.}[/tex]

Answer: Option B.

Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find a) A ∩ B ∩ C. b) A ∪ B ∪ C. c) (A ∪ B) ∩ C. d) (A ∩ B) ∪ C.

Answers

a) AnBnC = {4, 6}
b) AuBuC = {0,1,2,3,4,5,6,7,8,9,10}
c) (AuB)nC ; (AuB) = {0,1,2,3,4,5,6,8,10}
:. (AuB)nC = {4,5,6,8,10}
d) (AnB)uC ; (AnB) = {0,2,4,6}
:. (AnB)uC = {0,2,4,5,6,7,8,9,10}

Hello, I need help simplifying question 16 i please, thanks

Answers

Given -

i. 5cot²θ + 5

To Find -

Simplification =?

Step-by-Step Explanation -

We know that

[tex]cot\theta\text{ = }\frac{\cos\theta}{\sin\theta}[/tex]

So, simply putting it in the given equation:

[tex]\begin{gathered} =\text{ }5\frac{\cos^2\theta}{\sin^2\theta}\text{ + 5 } \\ \\ =\text{ 5}\frac{\lparen\cos^2\theta+\sin^2\theta\rparen}{\sin^2\theta} \\ \\ We\text{ know taht }\sin^2\theta\text{ + }\cos^2\text{ = 1} \\ \\ So,\text{ } \\ \\ =\text{ }\frac{5}{\sin^2\theta} \end{gathered}[/tex]

Final Answer -

= 5/sin²θ

what is the solution for y=2x+2 and y = 3x. I need a system of equation.

Answers

The given system of equations are,

[tex]\begin{gathered} y=2x+2 \\ y=3x \end{gathered}[/tex]

Equating both equation implies,

[tex]\begin{gathered} 2x+2=3x \\ x=2 \end{gathered}[/tex]

Put 2 for x in the equation y=2x+2 implies,

[tex]\begin{gathered} y=(2\times2)+2 \\ y=6 \end{gathered}[/tex]

The solutions are x=2 , y=6.

Aline has a slope of -3/4 and a y-intercept of 5. Write an equation insiope-intercept for that could represent this situation."

Answers

[tex]y\text{ = -}\frac{3}{4}x\text{ + 5}[/tex]

Here, we want to write an equation in the slope-intercept form

Mathematically, we have this as;

[tex]y\text{ = mx + b}[/tex]

b is the slope and m is the y-intercept

Thus, substituting the values we have in the question;

m = -3/4 and b = 5

Thus, we have the equation as;

[tex]y\text{ = -}\frac{3}{4}x\text{ + 5}[/tex]

Graph the solution set of each system of inequalities.19. 4x-y52x + 2y <6

Answers

[tex]\begin{cases}4x-y\le2 \\ x+2y<6\end{cases}[/tex]

The graph is given by:

Pizza Orders Pizza Corner sells medium andlarge specialty pizzas. A medium Meat Lovers pizza costs$10.95, and a large Meat Lovers pizza costs $14.95. OneSaturday a total of 50 Meat Lovers pizzas were sold, andthe receipts from the Meat Lovers pizzas were $663.50.How many medium and how many large Meat Loverspizzas were sold?

Answers

Let x = number of medium Meat Lovers pizza sold

Let y = number of large Meat Lovers pizza sold

The cost of a medium Meat Lovers pizza is $10.95

Hence, the cost of x medium Meat Lovers pizza is $10.95x

The cost of a large Meat Lovers pizza is $14.95

Hence, the cost of y large Meat Lovers pizza is $14.95y

Since the total cost of Meat Lovers pizza sold is $663.50

This

Answer:

Let x = number of medium Meat Lovers pizzas sold

Let y = number of large Meat Lovers pizzas sold.

The cost of a medium Meat Lovers pizza is $10.95

Hence, the cost of x medium Meat Lovers pizza is $10.95x

The cost of a large Meat Lovers pizza is $14.95

Hence, the cost of y large Meat Lovers pizza is $14.95y

Since the total cost of Meat Lover's pizza sold is $663.50

This

Step-by-step explanation:

A square coffee table has an area of 1936 square inches. What is the length of one side of the table?

Answers

Given :

The area of square is 1936 sq.inches.

Explanation :

To find the side of the coffee table.

Use the area of square .

[tex]A=side^2[/tex]

Substitute the value of area to find the side.

[tex]\begin{gathered} 1936=side^2 \\ \text{side}=\sqrt[]{1936} \\ \text{side}=44in \end{gathered}[/tex]Answer :

Hence the length of one side of the table is 44 in.

-3x^2 – 24x – 13 = -13

Answers

[tex]\begin{gathered} -3x^2-24x-13=-13 \\ \text{ Express it as:} \\ 3x^2+24x+26=0 \\ 3x^2+24x=-26 \\ 3(x^2+8x+16)=?-26 \\ 3(x+4)^2=48-26 \\ 3(x+4)^2=22 \end{gathered}[/tex]

oh,

19. A wooden box has 20 cm on each edge. Find its volume.A. 875 cu. cmB. 8 000 cu. cmC. 8 875 cu. cm

Answers

Given:

Length of the edge of wooden box = 20 cm

Required:

The volume of wooden box.

Explanation:

The volume of cubical box is given as,

[tex]\begin{gathered} Volume\text{ = Edge}^3 \\ Volume\text{ = 20 cm }\times\text{ 20 cm }\times\text{ 20 cm} \\ Volume\text{ = 8000 cm}^3 \end{gathered}[/tex]

Answer:

Thus the volume of the wooden box is 8000 cu. cm. The correct answer is option B.

Please help me with this problem:The data shows the number of grams of fat found in 9 different health bars.11, 11.5, 10.5, 17, 14.5, 14.5, 18, 17, 19What is the IQR (interquartile range) for the data? 6.25714.517.5

Answers

Answer:

The interquartile range = 6.25

Explanation:

The given dataset is:

11, 11.5, 10.5, 17, 14.5, 14.5, 18, 17, 19

Rearrange the data in ascending order

10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

The number of terms in the data, N = 9

The lower quartile is calculated as:

[tex]\begin{gathered} Q_1=(\frac{N+1}{4})^{th}term \\ \\ Q_1=\frac{9+1}{4}^{th}term \\ \\ Q_1=2.5th\text{ term} \\ \\ Q_1=\frac{11+11.5}{2} \\ \\ Q_1=\frac{22.5}{2} \\ \\ Q_1=11.25 \end{gathered}[/tex]

The upper quartile is calculated as:

[tex]\begin{gathered} Q_3=(\frac{3(N+1)}{4})^{th\text{ }}term \\ \\ Q_3=\frac{3(9+1)}{4}th\text{ terms} \\ \\ Q_3=7.5th\text{ term} \\ \\ Q_3=\frac{17+18}{2} \\ \\ Q_3=17.5 \end{gathered}[/tex]

The interquartile range = Upper quartile - Lower quartile

The interquartile range = 17.5 - 11.25

The interquartile range = 6.25

What’s 51,053 minus 12,947?

Answers

Answer:

The answer you're looking for would be 38,106.

Step-by-step explanation:

May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

51,053
- 12,947
—————
38106

Given that y varies directly with x, and y=28 when x=7 What is y when x=52

Answers

Answer:

y=208

Explanation:

If y varies directly with x, the equation of variation is:

[tex]y=kx[/tex]

When y=28 and x=7

[tex]\begin{gathered} 28=7k \\ k=\frac{28}{7} \\ k=4 \end{gathered}[/tex]

The equation connecting y and x is:

[tex]y=4x[/tex]

Therefore, when x=52

[tex]\begin{gathered} y=4\times52 \\ y=208 \end{gathered}[/tex]

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 246.5 grams of this cereal There are ? calories in 246.5 grams of this cereal ( round to the nearest whole number as needed )

Answers

We can solve this question by means of the rule of three, which can be stated as

[tex]\begin{gathered} 110\text{ calories ----------- 177.4 grams} \\ \text{ x ---------------- 246.5 grams} \end{gathered}[/tex]

then by using cross-multiplication to calculate x, we have

[tex]x\cdot177.4\text{ grams=(110 calories)}\cdot(246.5\text{ grams)}[/tex]

so, by dividing both sides by 117.4 grams, x is given as

[tex]\begin{gathered} x=\frac{\text{(110 calories)}\cdot(246.5\text{ grams)}}{177.4\text{ grams}} \\ x=152.54667\text{ calories} \end{gathered}[/tex]

Therefore, by rounding this result to the nearest whole nuymber, there are 153 calories in 246.5 grams of cereal

If f(1) = 3, then what ordered pair is in f? (_,_)

Answers

Given:

if f(1) = 3

We are to find the ordered pair that is in f.

f(1) = 3 is a fuction.

f(1) = 3

Then,

f(x) = 3

f(x) = y

So,

f(1) = 3

Therefore,

x = 1, y = 3

So the ordered pair of f is (1, 3)

write 77.56 as a scientific notation

Answers

The scientific notation/standard form of 77.56 can be represented below

[tex]7.756\times10^1[/tex]

The logic behind it is we shift the dot backward until it get to the last number. The number of step we took represent the exponential of 10.

what is the x intercept?

Answers

Answer:

x intercept is -2

Step-by-step explanation:

Leah just accepted a job at a new company where she will make an annual salary of $65000. Leah was told that for each year she stays with the company, she will be given a salary raise of $2500. How much would Leah make as a salary after 6 years working for the company? What would be her salary after t years? Salary after 6 years: Salary after t years:

Answers

[tex]\begin{gathered} \text{after 6 years: 80000} \\ \text{after t years:}S=65000+2500t \end{gathered}[/tex]

Explanation

Step 1

let s represents the salaray

let t represents the number of years she works.

she will make an annual salary of $65000. Leah was told that for each year she stays with the company, she will be given a salary raise of $2500

hence.

[tex]S=65000+2500t[/tex]

and, we have the function for the salary:

for example, after 1 year

it means, t=1

replace

[tex]\begin{gathered} S=65000+2500t \\ S=65000+2500\cdot1 \\ S=65000+2500 \\ S=67500 \end{gathered}[/tex]

so After 6 years

it is, when t= 6

[tex]\begin{gathered} S=65000+2500t \\ S=65000+2500\cdot6 \\ S=65000+15000 \\ S=80000 \end{gathered}[/tex]

I hope this helps you

Mitsu borrowed $1,250. She made 36 payments of $45.15 each. Howmuch did she pay in interest?a. $375.40b. $162.54c. $1,625.40d. $37.54

Answers

Amount borrowed = $1,250

Amount paid per payment = $45.15

Number of times payment was made = 36

This implies

The total amount paid is

[tex]36\times\text{\$}45.15=\text{\$}1625.40[/tex]

Hence, the total amount paid = $1,625.40

Interest is calculated using

Interest = Total amount paid - Amount borrowed

Hence, the interest is

[tex]\begin{gathered} I=\text{\$}1625.40-\text{\$}1250 \\ I=\text{\$}375.40 \end{gathered}[/tex]

Therefore, the interest she paid is $375.40

10,720MasteryLook at the image below.4Course suRatios, rateArithmetic10Course cheTest yourthe skillsWhat is the area of the triangle?

Answers

[tex]\text{Area of the triangle = 20 units}^2[/tex]

Explanation:[tex]\text{Area of triangle = 1/2 base }\times\text{ he}ight[/tex]

The given triangle is not the regular drawing of a triangle. We need to identify the height and base.

From the diagram, the height = 10

base = 4

Substitute the values:

[tex]\begin{gathered} \text{Area of the triangle = }\frac{1}{2}\times\text{ 10}\times4 \\ \text{Area of the triangle = 20 units}^2 \end{gathered}[/tex]

use the diagrams to answer the following questions Number 9

Answers

GIVEN:

We are given the circle with radius 5 units as shown in diagram number 9.

Required;

To determine the

(a) Diameter

(b) Circumference

(c) Area

Step-by-step solution;

The diameter of any given circle is twice the length of the radius.

This means for the circle given, we have;

[tex]\begin{gathered} Radius=5 \\ \\ Diameter=2\times R \\ \\ Diameter=2\times5 \\ \\ Diameter=10 \end{gathered}[/tex]

The circumference of a circle is given by the formula;

[tex]C=2\pi r[/tex]

Taking the value of pi as,

[tex]\pi=3.14[/tex]

We now have the circumference as;

[tex]\begin{gathered} C=2\times3.14\times5 \\ \\ C=31.4\text{ }units \end{gathered}[/tex]

The area of a circle is given by the formula;

[tex]A=\pi r^2[/tex]

Therefore, we now have;

[tex]\begin{gathered} A=3.14\times5^2 \\ \\ A=3.14\times25 \\ \\ A=78.5\text{ }units^2 \end{gathered}[/tex]

ANSWER:

[tex]\begin{gathered} Diameter=10\text{ }units \\ \\ Circumference=31.4\text{ }units \\ \\ Area=78.5\text{ }units^2 \end{gathered}[/tex]

Use gaussian elimination to solveThe buries pay their babysitter $5 per hour before 11 p.m. and $7.50 after 11p.m. One evening they went out for 5 hours and paid the sitter $35.00. What time did they come home?

Answers

Let m represents the number of hours the buries spent before 11p.m

Let n represent the number of hours the buries spent after 11p.m

m + n = 5 -----------equation (1)

5m + 7.5n = 35 -------equation (2)

Using Gaussian elimination method to solve the simultaneous equations, we have

[tex]\begin{bmatrix}{1} & {1} & {5} \\ {5} & {7.5} & {35} \\ {} & {} & \end{bmatrix}-\begin{bmatrix}{\square} & {\square} & {\square} \\ {\square} & {\square} & {\square} \\ {\square} & {\square} & {\square}\end{bmatrix}[/tex]

The value of m = 1, while n = 4

This implies the buries spent 4 hours after 11 p.m

That means they come home by 3 a.m

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which of the following sets of numbers could represent the three sides of a triangle. 4,7,1212,16,284,12,137,13,22 How many atoms does PbNO3 has? 3) Given the points (6-11) and (-2,9), find the following: a) find the slope between these points, b) find the equation of the line between these points, b) find the y-intercept of this line, c) graph this line. -4(x-1) I forgot how to simplify it To estimate the height of a building, two students find the angle of elevation from a point (at ground levedown the street from the building to the top of the building is 30. From a point that is 400 feet closer tothe building, the angle of elevation (at ground level) to the top of the building is 52. If we assume thatthe street is level, use this information to estimate the height of the building.The height of the building isfeet. Which number is the solution of n/3 = - 12 The mid point between T(-2,6) and J (-5,1) 5. The table shows the amount of money, A, in a savings account after mmonths. Select ALL the equations that represent the relationship betweenthe amount of money, A, and the number of months, m.*number ofmonthsdollaramount51,20061,30071,40081,500 Scientist discovered a species that doesnt have any organelles. what organism could it be?A. GrassB. YeastC. Slime mold D. Bacteria if you have 50.0 ml of a 6.00 m hcl(aq) solution, how much additional solvent, in ml, must you add to obtain a 1.00 m hcl(aq) solution? Determine the number of significant figures in the measurement 77.09 m.Express your answer numerically as an integer. Which statement is true regarding the graphed functions? 8 6 4 -6-5-4-3-2 436 - -6 1979 - 2 -127 (0) = g(0) 1-2) = g(-2) f(0) = g(-2) Imagine two young men who commit an act of vandalism. One of them gets caught and goes to jail, but the other is not identified and goes to college. There is a probability that the one who goes to jail may become a criminal while there is possibly an equal probability that the one who goes to college will have a successful life. What does this suggest about the present system? How could one improve it? PLEASE HELP I GOT LIKE 15 MINUTES LEFTOne small circle is completely inside a larger circle. Both circles share the same center point. Calculate the area of the shaded region. Identify the percent, amount, and base in this problem.What percent of 80 is 40? What figure of speech is "Exploded in delight"?? The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x My question is #9 but I am confused if it is true or false A store sells a $400 microscope after a markup of 32%. What is the price of the microscope at the store?O $128O $272O $528O $672 a 25g sample of an unknown gas has a volume of 3.9 l at 25 celsius and 2 atm pressure. it is found to be 7.7% hydrogen and 92.3% carbon. what is its molecular formula