Answer:
q = -1 and p = 3
Step-by-step explanation:
make q the subject of the formula
q = 2p - 7
Let use the other equation to manipulate data
3p + 2q = 7
:3p + 2 (2p - 7) = 7
:3p + 4p - 14 = 7
:3p + 4p = 7 + 14
:7p = 21
7. 7
like terms cancel each other
thus
p = 3
ANDwe the first equation to find the value of q
q = 2p - 7
since we have find p as 3, let's substitute
q = 2 (3) - 7
q = 6 - 7
q = -1
I need help finding x
Answer:
Step-by-step explanation:
#19.
(7x - 2)° + (10 - 3x)° = 180°
(7x - 3x) + (10 - 2) = 180
4x = 172
x = 43
#21.
(6x - 144)° = (2x)°
4x - 2x = 144
2x = 144
x = 72
What are the factors of x2 – x – 6? Check all that apply. X – 6 x 6 x – 3 x – 2 x 2 x 1 x – 1.
Answer:
The factors are x-3 and x+2, and the roots are 3 and -2.
Step-by-step explanation:
x^2-x-6 can be factored in the following way:
(x-3)(x+2)
The factors are x-3 and x+2, and the roots are 3 and -2.
Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (x-3) and (x+2)
How to factorize a quadratic polynomial with single variable?Quadratic polynomial with single variables are expressible in the form
[tex]ax^2 + bx + c[/tex]
where x is the variable and a,b,c are constants.
Its factored form is
[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]
For the given case, the expression given to us is [tex]x^2 - x - 6[/tex]
Comparing it with the standard form of quadratic expression [tex]ax^2 + bx + c[/tex], we get: a = 1. b = -1. and c = -6
Using the aforesaid formula, we get:
[tex]=\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})\\\\=\dfrac{1}{4}\times(2x -1 - \sqrt{1 +24})(2a -1 + \sqrt{1 + 24})\\\\=\dfrac{1}{4} \times (2x - 1-5)(2x - 1 + 5)\\\\=(x -3)(x+2)[/tex]
Thus, The factors of given expression are: (x-3) and (x+2)
Learn more about factors here;
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The height of a cone is 10ft. The area of the base is 22ft. Compute the volume of the cone
[tex] {73.33ft}^{3} [/tex]
Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} [/tex]
[tex]\pi {r}^{2} = {22ft}^{2} [/tex]
[tex]v = 22 \times \frac{10}{3} [/tex]
[tex]v = 22 \times 3.33[/tex]
[tex]v = {73.33ft}^{3} [/tex]
what does "what is the difference between ½+¼ and ¾+¼" mean
Answer:
It means: 1/2+1/4 - 3/4+1/4
Which set of points is a function?
A- (0,3),(2,4),(0,6)
B- (1,2),(2,2),(3,2)
C- (1,4),(2,5),(1,6)
D- (2,3),(-2,4),(2,6)
Answer:
B
Step-by-step explanation:
This is a really simple topic. All you need to do when seeing these ordered pairs is see which has x-values that don't repeat. Over here, we can see that that is B, so B is the correct option.
The ratio of centimeters on a map to distance in kilometers is 2 to 5.
If two cities are 16 cm apart on the map, what is the actual distance in kilometers between the two cities? You can use a double number line diagram to help you solve.
Answer: 40 kilometers
Step-by-step explanation: Since the word ratio is cm/km (centimeter/kilometer), and the number ratio is 2/5, you will have to create another set and put the 16 cm next to the 2 cm. So it would be 2/5=16/X. Now you have to find the value of x. First, you have to multiply 5 by 16, which is equal to 80. Now you divide it by 2 and you will get 40 kilometers as your final answer.
How many solutions exist for the given equation?3x + 13 = 3(x + 6) + 1
Answer:
0
Step-by-step explanation:
3x+13=3(x+6)+1
Expand:
3x+13=3x+18+1
Simplify:
3x+13=3x+19
Subtract 13 from both sides:
3x+13-13=3x+19-13
Simplify:
3x=3x+6
Subtract 3x from both sides:
3x-3x=3x-3x+6
0=6
Since the sides are not equal there are no solutions to this problem
Help !! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:
negative
zero
odd
even
Answer
Even
Step-by-step explanation:
I got the answer from my teacher.
Alexandra is following a recipe that requires three fourths cup of water. She needs to make 10 servings. How many cups of water does Alexandra need?
one and one fifth cups
three and one fourth cups
seven and two fourths cups
eight and two thirds cups
Answer:
3/4 • 10 = 30/4 = 7 2/4
Please help me asap
I will give you 50 points
Answer: C
Step-by-step explanation:
Find the value of x?
Answer:
x = 28º
Step-by-step explanation:
hope this helps :)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Here's the solution ~
Let's use Angle sum property of a triangle :
[tex]\qquad \sf \dashrightarrow \: 5x - 60\degree + 2x + 40\degree + 3x - 80 \degree= 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x + 2x + 3x - 60\degree + 40\degree - 80\degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 10x - 100\degree = 180\degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 10x = 180\degree + 100\degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 10x = 280\degree[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 280\degree \div 10[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 28\degree[/tex]
The value of x is 28°
Which of the following best describes the equation below?
y= |x| +4
А.
both a relation and a function
B.
neither a relation nor a function
C. function only
D. relation only
pls help i don’t feel like doing math rnnnnn
Answer:
A relation is a function if for each value of x (input value) there is a unique value of y (output value). For the equation given in the problem:
y= |x| +4
There is a unique value of y for each value of x.
Therefore, the equation is a function and a function is also a relation.
Then, the answer is option A.
Hope this helps
Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient? x squared 4 x 3 x squared minus 6 x 13 minus StartFraction 80 Over x minus 5 EndFraction x cubed 4 x squared 3 x x squared minus 6 x 13 minus StartFraction 80 Over x 5 EndFraction.
Answer:
(a) x^2 +4x +3
Step-by-step explanation:
The attachment shows the synthetic division. The quotient is ...
x^2 +4x +3
_____
Additional comment
Please make sure your math posts include all necessary math symbols and formatting. Some Brainly input methods seem to drop + signs and/or make spacing adjustments that render questions indecipherable. It is helpful if you separate answer choices with punctuation, letter designators, and/or spacing (one per line, for example).
Answer:a
Step-by-step explanation:
1. A pound of fertilizer pellets will cover about 300 square feet of lawn. Find how many pounds of fertilizer will be
needed for a rectangular patch of grass that measures 45 feet by 45 feet.
Answer:
6.75 if exact 7 if rounding up
Step-by-step explanation:
1lb=300ft^2
45x45=2,025
2,025/300=6.75
The Hamden board of education wants to know how the community feels about building a new media center for the middle school. They called every tenth person on the registration list of 7,300 voters until they had called a total of 40 voters. Which of the following are true of the sample of 40 voters? Check all that apply.
Answer:
The true statements about the sample described in the scenario above are:
The sample should be larger to give more reliable information.
The sample size is too small to represent the population.
The sample size is too small and can lead to false inferences.
Step-by-step explanation:
The sampling technique employed is a systematic random sampling where samples are chosen at every specified interval. Hence, the sample is randomly selected.
Helpppp asapppppppppppp
Answer:
the first one
4a + 3a =7a
the second one
4a+4b
Answer:
1. 7a
2. 4a + 4b
Step-by-step explanation
1. (a x 4) = 4a
(a x 3) = 3a
4a + 3a = 7a
2. question 2 is correct
What is the surface area of the sphere, in square meters?
Possible answers:
A. Not enough information is given to calculate this surface area.
B. 804
C. 2144
D. 201
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies SA=4\pi (8)^2\implies \stackrel{using~\pi =3.14}{SA\approx 804}[/tex]
Lainley wraps a cube-shaped present in a box that has a volume of 729 inches. Neglecting any overlap, how many square inches of wrapping paper does Lainey use to cover all of the sides of the box? Marking brainliest
A. 81 in.^2
B. 162 in^2
C. 324 in^2
D. 486 in^2
The area of a cube-shaped present in a box Lainley wraps is A. 81 in²
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A box that has a volume of 729 inches.
First we'll prime factorize 729.
729 = 3×243 = 3×3×81 = 3×3×3×3×3×3.
If we take the cube root of 729 it would be 3×3 = 9.
So, It is a cube with a side length 9.
Now, We know area of a cube is side².
Therefore, The area of this cube is 9² = 81 in².
learn more about cuboids here :
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Find the two numbers whose sum is 67 and whose difference is 3.
Answer:
32;35
Step-by-step explanation:
a+b=67
a-b=3 => a=3+b
=>instead of a we write 3+b =>
a+b=67 => 3+b+b=67 => 2b=64 => b=32
=> a = 3+b=> a=32+3=35
∠1 and ∠2 are vertical angles. ∠2 has a measure of 63°.
What is the measure of ∠1?
Answer:
63 degrees
Step-by-step explanation:
vertical angles are conruent
Hope this helps! :)
Jasmine correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.
How did jasmine determine the area?
Enter your answer by filling in the boxes
Jasmine determined that the area of each triangle is _m2 and that the area of the rectangle is _m2. She added the areas of the two triangles and the rectangle for a total area of _
We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle
Answer: 20
72
112
Step-by-step explanation:
Grace got a haircut for $26.95, bought three shirts on sale for $18.50 each and a pair of jeans for $48, and purchased two CDs for $18.50 each. Round each amount to the nearest ten dollars to find a reasonable estimate of how much Grace spent.
26.95 + 18.5 * 3 + 48 + 18.5 * 2
18.5 * 3 = 55.5
18.5 * 2 = 37
37 + 55.5 + 48 + 26.95 = 167.45
= $167.5
Learning Task 5 : In your answer sheet , prove the theorem , using the given below . if a quadrilateral is inscribed in a circle , then its opposite angles are supplementary." Given : Quadriateral ABCD is inscribed in OE Prove : ∠ABC and ∠ABC are supplementary ∠DAB and ∠DCB are supplementary
Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC
Step-by-step explanation:
how much is 20 cookies for 15.25 dollars
Answer:
305 cookies
Step-by-step explanation:
Well, we know that each cookie is $15.25( that is expensive!?) so we multiply it and get 305 (15.25 x 20)
YW!! Have a nice day!
Find the value of x if the figure is a regular polygon.
taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.
[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]
The question is in the picture please give me all the answers
i am not smart pls help!!!
Answer:
yes, the 10 ft wave is an outlier
Step-by-step explanation: smarts
hope this helps :))
Answer:
the 10ft wave is the outlier
Step-by-step explanation:
hope this helps
A small airplane can hold 13 people per trip. How many trips would it take the airplane to transport 9,165 people?
You have to divide
its 9,165 divided by 13
[tex]\frac{9165}{13}[/tex] = 205
Teddy it takes 205 trips
to transfer 9,165 in a plane that can hold 13 people per trip
Hope I helped ^-^
What is the range of the function F(x)= 2cos(x-3)?
Answer:
The range is −5≤y≤−1 - 5 ≤ y ≤ - 1 .
There were 24 teams at a soccer tournament. In all, 12 teams wore red shirts, 6 teams wore blue shirts, 4 teams wore orange shirts, and 2 teams wore white shirts.
Answer:
1rst one is 3:2 the second one is 1:2 and third is 1:12 if i remember
Step-by-step explanation:
The total number of teams at the soccer tournament was 24.
The information about the number of teams and the shirts they wore at the soccer tournament.
To summarize:
12 teams wore red shirts
6 teams wore blue shirts
4 teams wore orange shirts
2 teams wore white shirts
To find the total number of teams, add up the number of teams for each shirt color:
Total Teams = 12 (Red) + 6 (Blue) + 4 (Orange) + 2 (White) = 24 teams
To know more about number here
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