Answer:
x = - [tex]\frac{1}{7}[/tex], x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
(7x + 1)(2x - 3) = 0 ← in standard zero product form
Equate each factor to zero and solve for x
7x + 1 = 0 ⇒ 7x = - 1 ⇒ x = - [tex]\frac{1}{7}[/tex]
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Answer:
x = - 1 / 7 and x = 3 / 2
Step-by-step explanation:
14x2 - 21 x + 2x- 3 = 0
14x2 - 19x -3 = 0
x = 1 9 + 23 / 28 = 3 / 2
x = 19 - 23 / 28 = - 1 / 7
7x + 1 = 0 ⇒ 7x = - 1 = -1 / 7
2x - 3 = 0 ⇒ 2x = 3 = 2/ 3
Hope this answer helps you :)
Have a great day
Mark brainliest
In the diagram below of triangle UVW, X is a midpoint of UV and Y is a
midpoint of VW. If mZXYV = 7x + 21, and mZUWY = 91 – 7x,
what is the measure of ZXY?
V
X
Y
U
W
Given:
In triangle UVW, X is the midpoint of UV and Y is the midpoint of VW.
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle UWY=91-7x[/tex]
To find:
The measure of angle XYV.
Solution:
Since X is the midpoint of UV and Y is the midpoint of VW, therefore XY is the mid-segment of the triangle UVW and parallel to the base of the triangle, i.e., UW.
If a transversal line intersect two parallel lines, then the corresponding angles are congruent and their measures are equal.
[tex]\angle XYV \cong \angle UWY[/tex] [Corresponding angle]
[tex]m\angle XYV=m\angle UWY[/tex]
[tex]7x+21=91-7x[/tex]
We need to solve this equation for x.
[tex]7x+7x=91-21[/tex]
[tex]14x=70[/tex]
[tex]x=\dfrac{70}{14}[/tex]
[tex]x=5[/tex]
Now,
[tex]m\angle XYV=7x+21[/tex]
[tex]m\angle XYV=7(5)+21[/tex]
[tex]m\angle XYV=35+21[/tex]
[tex]m\angle XYV=56[/tex]
Therefore, the measure of angle XYV is 56 degrees.
1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12
Answer:
SOLUTION[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]
Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of square four is a² + b² + 2ab
How to calculate the area of square and triangleThe area of a square = l²
The Area so the two square = a² + b²
Area of the triangles = 4(0.5ab) = 2ab
Add the area together
Area of the square four = area of square + area of 4 triangles
Area of the square four = a² + b² + 2ab
Hence the area of the square four is a² + b² + 2ab
Learn more on area of square here: https://brainly.com/question/13389992
what is the circumfrence in centimeters of the circle with a diameter of 24 cm ? use 3.14 as pii
Answer:
75.36 cm
Step-by-step explanation:
C=(3.14)24
Solve mixture problems. George wishes to increase the percent of acid in 50m / of a 15% acid solution in water to 25% acid, how much pure acid must you add?
Answer:
x = amount of pure acid to be added = 6.67ml
Step-by-step explanation:
George wishes to increase the percent of acid in 50ml of a 15% acid solution in water to 25% acid, how much pure acid must you add?
let
x = amount of pure acid to be added
15% of 50 + x = 25% of 50 + x
(0.15 * 50) + x = 0.25(50 + x)
7.5 + x = 12.5 + 0.25x
Collect like terms
x - 0.25x = 12.5 - 7.5
0.75x = 5
x = 5/0.75
x = 6.6666666666666
Approximately,
x = 6.67
x = amount of pure acid to be added = 6.67ml
A tub is filled with 18000 cm3 of water. It loses one-tenth of its water every 12 hours. What volume of water would be remaining in the tub at the end of 5 days
Answer:
0 cm³
Step-by-step explanation:
the lost of water =
(5×24)/12 x 1/10 × 18000
= 10/10 × 18000 = 18,000 cm³
so, the remaining water in the tub=
18,000 - 18,000 = 0 cm³
(the tub is empty)
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Answer:
Interesting... go on.
Step-by-step explanation:
What is the value of x for the parallelogram year shown?
Answer:
Step-by-step explanation:
A+B+C+D=360 degree(sum of all sides of a parallelogram)
60+4x+60+4x=360
120+8x=360
8x=360-120
x=240/8
x=30
Application:
Sharone took 2-hours to complete her science
project. She took 140 minutes to complete her math
homework. Which assignment did she spend more
time completing? How many more minutes did she
take?
The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the
Answer:
The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.
Find the arc length of the semicircle
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
Which pairs of fractions can be added using the given common denominators
Answer:
#2
Step-by-step explanation:
The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD
Answer:
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
65% of the customers have dogs:
This means that [tex]p = 0.65[/tex]
15 customers:
This means that [tex]n = 15[/tex]
What type of variable is D?
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Answer:
binomial
Step-by-step explanation:
Oliver paid $21 for 6 t-shirts. Each shirt was the same price. What was the cost of 1 t-shirt?
Hope this helps
Answer: one t shirt cost $3.5
$21 divided by 6 = 3.5
Answer:
The cost of one t-shirt is $3.50
explanation :
21 ÷ 6
= 3.5
(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy
Answer:
B. 17.50(x + y)
Step-by-step explanation:
So lets find the equation for monday:
It would be 17.50 times x
or:
17.50(x)
For Tuesday:
17.50 times y
17.50(y)
17.50(x) + 17.50 (y) = 17.50(x+y)
Or B.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The Pearson product-moment correlation coefficient Group of answer choices is called the Pearson c. is used when both variables have ordinal or nominal scale properties. provides information about the strength of a relationship. does not indicate the direction of a relationship.
Answer:
provides information about the strength of a relationship
Step-by-step explanation:
A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.
The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .
The sign of r indicates the direction of the cor relation.
When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0 as r only measure linear cor relation.
The 2nd statement given is the correct answer.
It is not related to ordinal or nominal properties and it does show direction.
mrs. wilson placed the welcome mat shown below on her front door step. what is the area of her welcome mat in square feet?
Answer:
12.56 square feet
plss help me!!
Find the length of the arc.
Answer:
[tex]\frac{5\pi }{2}\:ft[/tex] (Option D)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center (θ) = 90°Radius of the circle = 5 ft.TO FIND :-
Length of the arcGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.
[tex]=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}[/tex]
SOLUTION :-
Length of the arc = [tex]\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}[/tex]
Solve for x.
2x + 4
4x - 88
x = [?]
If I where to spend between $100 and $150 on groceries every week, what type of expense would groceries be? (Just double checking)
help i need i the answer asp pls
Answer:
E and F
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{m+n}[/tex] , then
[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = [tex]5^{4+x}[/tex] → F
or
[tex]5^{4}[/tex] × [tex]5^{x}[/tex] = 625 × [tex]5^{x}[/tex] → E
what is the vertex of this quadratic
Answer: (-3,2)
Step-by-step explanation:
-3 in the x-axis
2 in the y - axis
Find the value of x.
Answer:
Okay so
Directions: find the value of x?
122 + 68 divided by 2
x = 95 degrees
Step-by-step explanation:
Evaluate 5−1−90. Write your answer as a fraction in simplest form.
Answer:
-86/1
Step-by-step explanation:
subtract and convert
Please help! I need to show my work also! -2x^3+x^9
Answer:
2(23)+29
2(23)+29
=528
Step-by-step explanation:
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer:
the second one
Step-by-step explanation:
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Answer:
5/8 ft²
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 5/3 ft
Height = 3/4 ft
Area of a triangle = 1/2 * base * height
= 1/2 * 5/3 ft * 3/4 ft
Multiply numerator separately and denominator separately
= (1 * 5 * 3) / (2 * 3 * 4) ft²
= 15/24 ft²
= 5/8 ft²
Area of a triangle = 5/8 ft²
A plastic sack contains 20 green and yellow, 14 red and yellow, and 16 orange and yellow gummy treats. How much greater is the probability you will randomly select a green and yellow treat that an orange and yellow treat?
Answer:
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
Step-by-step explanation:
Given -
Green and yellow gummy treats = 20
Red and yellow gummy treats = 14
Orange and yellow gummy treats = 16
Total gummy treat = 20+14+16 = 50
Probability of choosing green and yellow treat = 20/50 = 0.4
Probability of choosing an orange and yellow treat = 16/50 = 0.32
Probability of choosing green and yellow treat is higher than Probability of choosing an orange and yellow treat by 0.08
Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?
Answer:
$11.50
Step-by-step explanation:
Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50
Therefore, the remaining balance on the card is $11.50
Please mark my answer as brainliest, it will help a lot.
What is the value of x?
Answer:
5cm
Step-by-step explanation:
c^2=a^2+b^2
b^2=square root c^2-b^2
=square root 13^2-12^2= 5