What are the solutions to X2 + 8X + 7 = 0?
Answer:
x = - 7, x = - 1
Step-by-step explanation:
Given
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = 7 and 7 + 1 = 8 , then
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
Answer:
[tex]x=-1,-7[/tex]
Step-by-step explanation:
[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7
Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex] Evaluate the exponent and multiply 4ac
[tex]x=-8\frac{\sqrt{36} }{2}[/tex] Subtract b^2 - 4ac and multiply 2a
[tex]x=-8\frac{\sqrt{6} }{2}[/tex] Solve for the sqrt root of 35
x = - 8 ± 6/2 =
x = - 8 + 6/2 = -1
x = - 8 - 6/2 = -7
Someone tell me where everyone is going right please !!
Answer:
hello dude
equation;
7.8x - 100 > 79.86 + 5.8x
and answers are at the photo
HAVE A NİCE DAY
Step-by-step explanation:
greeetings from Turkey ツ
Answer:
1st drop box: (1) 7.5x - 100 > 79.86 + 5.8x
2nd drop box: (4) x > 105.8
3rd drop box: (4) 106
Step-by-step explanation:
1st drop box:
Revenue (the money you receive) must be greater than the costs (money you spend) to make a profit.
2nd drop box:
Use basic algebra to solve for x:
7.5x - 100 > 79.86 + 5.8x
(subtract 5.8x from both sides)
1.7x - 100 > 79.86
(add 100 to both sides)
1.7x > 179.86
(divide both sides by 1.7)
x > 105.8
3rd drop box:
We already know the solution to the inequality is x > 105.8
Notice how all the answer choices are whole numbers and the inequality sign is "greater than" and not "greater than or equal to".
That means it doesn't include 105.8
And it can't be 105 because 105 is NOT greater than 105.8
So the answer is 106
Hope it helps (●'◡'●)
Solve for x. Round to the nearest tenth, if necessary.
Answer:
3.8106327168
Step-by-step explanation:
x=2.5/sin(41) = 3.81063271676
solve the following simultaneous linear equations by the elimination method.
2p - 3q = 13
p - 3q = 2
Answer:
p = 11 q = 3
Step-by-step explanation:
2p - 3q = 13
- p - 3q = 2
p = 11
p - 3q = 2
(11) - 3q = 2
-3q = -9
q = 3
Answer:
p=11 q=3
Step-by-step explanation:
subtract second from first
2p-3q=13
-p+3q=-2
p=11
plug in
11-3q=2
-3q=-9
q=3
In London today, four times the high temperature was more than twice the high temperature plus
sixty-six. In interval form, what are the possible temperatures
Answer:
Let's define the high temperature as T.
We know that:
"four times T, was more than 2*T plus 66°C"
(i assume that the temperature is in °C)
We can write this inequality as:
4*T > 2*T + 66°C
Now we just need to solve this for T.
subtracting 2*T in both sides, we get:
4*T - 2*T > 2*T + 66°C - 2*T
2*T > 66°C
Now we can divide both sides by 2:
2*T/2 > 66°C/2
T > 33°C
So T was larger than 33°C
Notice that T = 33°C is not a solution of the inequality, then we should use the symbol ( for the set notation.
Then the range of possible temperatures is:
(33°C, ...)
Where we do not have an upper limit, so we could write this as:
(33°C, ∞°C)
(ignoring the fact that ∞°C is something impossible because it means infinite energy, but for the given problem it works)
You have 3 pounds of egg whites. You need 8 oz to make one serving of consommé.How many servings can you make?
The number of servings you can make is 6
How to determine the number of servings?The given parameters are:
Available = 3 poundsContent per serving = 8 ozNext, we convert oz to pounds
Content per serving = 8 * 0.0625 pound
This gives
Content per serving = 0.5 pound
The number of serving is then calculated as:
Number = Available/Content per serving
This gives
Number = 3/0.5
Evaluate
Number = 6
Hence, the number of servings is 6
Read more about proportions at:
https://brainly.com/question/1781657
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Select the correct answer. Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living there. The table shows her findings. Area Buckeye Butterflies Monarch Butterflies A 15 16 B 27 36 12 25 24 32 E 44 33 The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two areas have buckeyes and monarchs in the same proportion? OA. areas A and B OB. areas Cand E O C. areas B and D OD. areas C and D
A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of buckeyes and monarch butterflies in different areas can be written as,
Area A,
Buckeyes/Monarchs = 15/16
Area B,
Buckeyes/Monarchs = 27/36 = 3/4
Area C,
Buckeyes/Monarchs = 12/25
Area D,
Buckeyes/Monarchs = 24/32 = 3/4
Area E,
Buckeyes/Monarchs = 44/33 = 4/3
Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.
Learn more about Ratios here:
https://brainly.com/question/1504221
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Answer:B and D
Step-by-step explanation:
i just took the test
Someone please help?
A
Step-by-step explanation:
because it's the only possible one
Answer:
A.) 10
Step-by-step explanation:
So the relationship here seems to be going by two. Every time the x-value decreases from -2 to +7, the y-value is decreasing by 2. Since you're looking for when x=0, the only number that could possibly do that is when y=10. Before x=1, the y-value can increase by two so it would go from 8 to 10 since we know the relationship for the y-values is 2. Therefore your answer should be A.) 10
Hope this helps!
identify the unit rate shown in the graph
Choices:
A. 1/3 mile per hour
B. 3 hours per mile
C. 3 miles per hour
D. 4 miles per hour
The answer is C or 3 miles per hour
how is it 3?:
there is a point at 6 and another at 3 all we do is 6 - 3 = 3
I need help on my math!!!!!!!
Answer:
67
Step-by-step explanation:
GOOD LUCK!!
2(5x-3)=24
find what x is?
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.
5x+1=2x-5
I need help
Answer:
x =-2
Step-by-step explanation:
5x+1=2x-5
Subtract 2x from each side
5x-2x+1=2x-2x-5
3x+1 = -5
Subtract 1 from each side
3x+1-1 = -5-1
3x=-6
Divide by 3
3x/3 = -6/3
x = -2
What is the value of -97-7 when /= 2?
-25
-18
11
45
Step-by-step explanation:
there must be something wrong or missing in your problem description.
what I can read here :
-97 - 7 when divided by 2
-97 - 7 = -104
this divided by 2 is -52.
but there is no such answer.
so, the provided answers and the problem description do not fit to each other.
4(1\:-\:2b)\:+\:7b\:-\:10
[tex]4(1\:-\:2b)\:+\:7b\:-\:10[/tex]
Answer:
-6 -b
Step-by-step explanation:
I have attached the explanation above. hopefully this will help you
try it, let's see can u do or not
Answer:
Step-by-step explanation:
Answer:
EC=2, AD=2.4
Step-by-step explanation:
Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.
The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.
AC is 3 times as long as AEBC is 3 times as long as DEUsing this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.
AE+EC=AC1+EC=3EC=2The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4
Graph the linear function described by the equation
Answer:
a on edge
Step-by-step explanation:
Solve the inequality. w/-2<8
Answer:
w > -16
Step-by-step explanation:
Please help me ASAP!!!!!
Answer:
The surface area is 80.9.
Step-by-step explanation:
Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.
Answer: 31.25%
Two ways to solve this problem:
#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]
#2 Use a graphing calculator and use the function binompdf(n, p, x)
x = 3n = 6p = 0.5#1: Formula:
[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]
#2: Faster method
binompdf(6, 0.5, 3) = 0.3125
Answer: 31.3 is the real answer.
Step-by-step explanation:
PLEASE HURRY!! NEED IT ASAP!! WILL MAKE BRAINLIEST
Question 1 of 10
Which choice is equivalent to the expression below when y > or equal to 0?
Answer:
I think B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]
A post office charges 50k for a telegram of 15 words or less it charges an extra 3k for every word above 15 words find the cost of 30 words
Answer:
95k
Step-by-step explanation:
Given :
15 words or less = 50k
Every word above 15 = additional 3k
The cost of 30 words :
First 15 words = 50 k
Number of additional words = (30 - 15) = 15 words
Cost of every additional word = 3 k
Cost of 15 additional word = 15 * 3 = 45k
Total cost of 30 words :
50k + 45k = 95k
which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
i think its a because they keep adding a side (or a line)
The radius of a circle is 6 cm. What is its diameter?
Answer:
Step-by-step explanation:
d=2r=2, 6 =12
diameter=12
the line segment AB is rotated through 90° clockwise about the point C. the coordinates of A', the image of A, are
Answer:
B
Step-by-step explanation:
We dont know rules about rotating a point. We only know rules about rotating about the orgin.
We can translate this line segment so point c is on the orgin because
A translation is a rigid transformationWe also know rotation rules about the orgin.Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?
A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:
Point A prime is (1,0).Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.
(x,y) goes to (y,-x).
So Point A prime is now at
(0,-1).
Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at
(1,2).
Which of these is the equation of the new function?
Answer:
B: g(x) = -4(x + 3)^2
Step-by-step explanation:
When we shift to the left by a units
we have the new equation become
( x + 3)^2
Stretching by a factor of 4, we have it that;
4(x + 3)^2
reflecting over the x-axis means the y-axis value becomes negative
So we have
g(x) = -4(x + 3)^2
Solve for x. Round your answer to the nearest tenth if necessary
Answer:
x = 11.7
Step-by-step explanation:
[tex]\frac{50}{39}[/tex] = [tex]\frac{15}{x}[/tex]
50x = 585
x = 11.7
I need help with my math!!!!!!!
Answer:
B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete this number sentence so that it illustrates the identity property of multiplication? ____ x ____ = 57
Answer:
57 x 1 =57
Step-by-step explanation:
Please remember identity property of multiplication says
An integer * 1 = the same integer
Using this property
57 x 1 = 57
The death rate per 100,000 for lung cancer is 7 among non-smokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among non-smokers and 599 among smokers. The prevalence of smoking in the population is 55%. What is the relative risk of dying of coronary thrombosis for smokers versus nonsmokers
Answer:
1.4194
Step-by-step explanation:
death rate per 100000 for cancer
for non smokers, death rate = 7
for smokers death rate = 71
death rate per 100000 coronary thrombosis
for non smokers = 422
for smokers = 599
relative risk of dying from cancer
= number of smokers / number of non smokers
= 71/7
= 10.14
relative risk of dying from coronary thrombosis
= number of smokers/number of non smokers
= 599/422
= 1.419
the relative risk of dying of coronary thrombosis is 1.4194
= 10.14