Answer:
(x-11)(x-12)
Step-by-step explanation:
To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be
[tex] {x}^{2} - 23x + 132[/tex]
The first step is to split the term into factorable terms.
Since the highest power is power of 2, the equation would look like this if factorized:
[tex](ax + b)(cx + d)[/tex]
If the terms were added properly, the expanded equation would be:
[tex](ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)[/tex]
Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.
In this case, we can determine the following:
[tex]a \times c = 1[/tex]
[tex](a \times d) + (b \times c) = - 23[/tex]
[tex]b \times d = 132[/tex]
First, we can determine a and c to be one since one only has one factor, which is itself.
This leaves us with two equations left
[tex]b + d = - 23[/tex]
[tex]b \times d = 132[/tex]
There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.
b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.
Now, we can find the factors of 132.
The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.
In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.
In this case, 11+12=23.
To verify, 11*12 is also 132.
Since we are looking for the negative values, the values we are looking for are -11 and -12.
The values can be plugged in anywhere in b or d.
After cleaning up, we can plug in the values into our factorization and we will get:
[tex](1x - 11)(1x - 12)[/tex]
or
[tex](x - 11)(x - 12)[/tex]
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Answer:
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Answer:
¼. 1000
Step-by-step explanation:
25% = 25/100
= 1/4
Therefore,
25% of 1,000 is the same as
1/4. 1000
Find the roots of the equation x^2 + 16 = 0.
Answer:
+4 and -4
Step-by-step explanation:
x² + 16=0
x=-√16
x=-4 or +4
The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
options are on the picture:)
Answer:-
The option B is the right answer.
Solution:-
[tex] \sf h = 2d = 2 \: • \: 2r = 4r[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \sf = \frac{1}{3} \pi {r}^{2} \: • \: 4r[/tex]
[tex] \sf = \frac{4}{3} \pi {r}^{3} \: \green✓ [/tex]
(sqrt)48,400 is a number that lies
between which two powers of 10?
Answer:4 and 8?
Step-by-step explanation:
Write the equation of 2 lines passing through the point (2, 14).
Answer:
Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.
Can someone help me with this math homework please!
Answer:
option 2option 1Step-by-step explanation:
value of x must be any real number except 5
that is option 2.
value of y can be any real number
that is option 1.
Based on the property of function that is one input must have exactly one output.
the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.
Answer:
Step-by-step explanation:
Property: Each element in the input set should have one and only element in the output set.
1) Value of x can be any real number except 5
2) Value of y can be any real number except -2
By rounding to 1 significant figure, estimate
7.57X3.81
Answer:
29
Step-by-step explanation:
7.57×3.81
round up to one decimal point=7.5×3.8
7.5×3.8 = 28.5
28.8 rounded up to 29
Select the instances in which the variable described is binomial.1) A coin flip has two outcomes: heads or tails. The probability of each outcome is 0.50. The random variable represents the total number of flips required to get tails.2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.5) The probability of drawing a king in a standard deck of cards is 0.08. Seven cards are drawn without replacement. The random variable represents the total number of king cards observed.
Answer: 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes
Step-by-step explanation:
The binomial distribution simply means the probability of success or failure in an experiment. The instances in which the variable described is binomial are given below:
• 2) A quality check on a particular product must meet five guidelines. All products are made in the same factory under the same conditions. The random variable represents the total number of products out of 35 tested that pass inspection.
• 3) There are two choices of burritos at a restaurant, vegetarian or beef. The random variable represents the total number out of 254 customers who ordered beef.
• 4) Based on the parents' genetics, each of 6 children from a particular pair of parents has a 0.30 probability of having blue eyes. The random variable represents the total number of children from this pair of parents with blue eyes.
Option 1 isn't binomial since the number of trails that are given isn't fixed. Option 5 isn't binomial as well
Therefore, the correct options are 2,3 and 4.
Find the surface area of the
triangular prism.
7 cm
cm
7 cm
9 cm
5 cm
[?] sq cm
Please HELP ME
Hello,
I am going to calculate all the surface areas of the prism:
1) the bases: 2*(6*9)/2=64 (cm²)
2) perimeter of the base: 7+9+7=23 (cm)
3 lateral area: 23*5=115 (cm²)
All surface areas= 64+115=179 (cm²)
What does it means sq ? (for a foreigner) ?
All surface areas= 64+115=179 (cm²)
What is triangular prisms?A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangular prism are not rectangular, the prism is oblique.
Given
the bases: 2*(6*9)/2=64 (cm²)
perimeter of the base: 7+9+7=23 (cm)
3 lateral area: 23*5=115 (cm²)
All surface areas= 64+115=179 (cm²)
To know more about triangular prisms refer to:
https://brainly.com/question/3160908
#SPJ2
If < A and < B are vertical angles, and < A is 43 ° , then what is the measure of < B?
Select one:
a. 47 °
b. 137 °
c. 21 °
d. 43 °
Answer:
d
Step-by-step explanation:
vertical angles are congruent , so
∠ B = ∠ A = 43°
Does the graph shown below represent y as a linear function of x?
Answer: No, it is not a linear function
Explanation:
We can see that it's a function because it passes the vertical line test, but it's not linear. To be linear, it needs to be one single straight line only (instead of composed of multiple pieces of different straight lines). This graph is considered a piecewise function.
So if your teacher asked "is this a function?" then the answer would be "yes". However, the "linear" portion is what makes the final answer "no".
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
represent the following additions on a number line 3+5=8 3+(-5)
Answer:
8 &-2
Step-by-step explanation:
<-------------------------->
-2-1 0 1 2 3 4 5 6 7 8
________________
-2<8 and 8>-2
GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
The profit percentage = 16.3%
Find the value of Angle X
The angle based on the diameter is always right
Then <ABC=90 and ∠BAC=∠ACB=45° ; and ∠BCD=180-45=135 then x=(180-135):2=22,5°
Which congruence theorem can be used to prove BDAS DBC?
Answer:
We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent. hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.
Answer:
A. HL
Step-by-step explanation:
2 points The compound interest on a certain sum for the first year for 4 % is Rs. 25. The compound interest for 2 years at the same rate on the same sum will be ...
Answer:
The interest for the two years is Rs 51.
Step-by-step explanation:
Rate, R = 4 %
Compound interest for 1 year = Rs 25
Let the sum is P.
For first year,
[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]
For 2 year
[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]
Interest is
Interest = Rs 676 - Rs 625 = Rs 51
2
What is the value of x in the equation 7x + 2y = 48, when y = 3?
Answer: 6
Step-by-step explanation: 7x+2y=48
7x+2(3)=48
7x+6=48
7x=48+6
7x=42
x=42/7
x=6
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: AAS
Answer:
QP ≈ HG
Common side between those angles are QP and HG
so, they should be congruent to prove AAS
Answered by GAUTHMATH
Cual es!!! Es examen ayudaaaaa
hello babyyy hpi how you
The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.113
.133
.16
.11
.10
Find the probability that -2
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.
[tex]P(-2)=0.33[/tex]
Therefore, the probability of -2 is 0.33.
What is the multiplicative rate of change for the exponential function f(x) = 21
2
Please help me this is due in like five minutes
Answer:
20 cm²
Step-by-step explanation:
Area of the square = 2cm * 2cm = 4 cm²
Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²
Total Area = 4 cm² + 16 cm² = 20 cm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Can someone help with 13 and 14
Step-by-step explanation:
Question 13 :-
-4c³ . 7d² . 2c -²( -4c ³ - ² ) . 7d² -4c . 7d²-28cd²Question 14 :-
n-⁴ w⁰n-⁴ . 1 n -⁴Answer:
13.) -56cd²
14.) n-⁴
Step-by-step explanation:
Question 13 :- -4c³• 7d² • 2c-²
-4c³• 7d² • 2c-²Calculate the products.
-4•7•2 c³ d²c-²-56c³ d²c-²Multiplying the terms with the same base by adding their exponents.
-56c³-²d²Calculate the exponents.
-56cd²Question 14 :- n-⁴w⁰
n-⁴w⁰Any non - zero expression raised to the power 0 equals 1.
n-⁴ 1Any expression multiplied by 1 remains the same.
n-⁴what is the equation of the circle shown in the graph?
Answer:
(x + 6)² + (y - 4)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 6, 4 ) and r = 3 , then
(x - (- 6) )² + (y - 4)² = 3² , that is
(x + 6)² + (y - 4)² = 9
What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2
Answer:
[tex]h(x)= 9x - 18[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{9}x + 2[/tex]
Required
The inverse
[tex]f(x) = \frac{1}{9}x + 2[/tex]
Replace f(x) with y
[tex]y = \frac{1}{9}x + 2[/tex]
Swap x and y
[tex]x = \frac{1}{9}y + 2[/tex]
Subtract 2
[tex]x - 2= \frac{1}{9}y[/tex]
Multiply 9
[tex]9x - 18 = y[/tex]
Rewrite as:
[tex]y = 9x - 18[/tex]
So:
[tex]h(x)= 9x - 18[/tex]
A chord is 6cm from the centre of a circle of radius 14cm. calculate the length of the chord with workings
Answer:
25.28 cm
Step-by-step explanation:
The chord is 6cm away from the centre of the circle . And the radius of the circle is 14 cm . We know that the perpendicular from the centre bisects the chord .
This will form a right angle triangle with the distance between centre and the code as its perpendicular and the length of radius as hypotenuse .
[tex]\implies Base^2+Perpendicular^2=Hypontenuse^2 \\\\\implies b^2 + (6cm)^2=(14cm)^2 \\\\\implies b^2 + 36cm^2= 196cm^2 \\\\\implies b^2 = 196cm^2-36cm^2 \\\\\implies b^2 = 160cm^2 \\\\\implies b=\sqrt{160cm^2}\\\\\implies b = 12.64 cm [/tex]
Hence the required answer is 12.64 × 2 = 25.28cm .
Hello,
Let's use the Pythagorian 's theorem.
The length of the chord = 8*V10=25,2982.... (cm)
Can someone help me with this math homework please!
OPTION A is the correct answer.
When the angle of elevation of the sun is
42°, fnd the length of the shadow, to the
nearest foot, cast by a tree 60 feet tall.
Answer:
The shadow length is 67
Step-by-step explanation:
solution shown in the picture
The Cooking Club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating three pies to the club. Each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. How many pies did the club make?
Which equation can be used to solve this problem? Select all that apply.